List of publications

[1]

1958b: L.D. Faddeev, "The relation between $S$-matrix and potential for the one-dimensional Schr\"odinger operator",

Soviet Physics Doklady 3 (1959) 747-751.

[2]

1959a: L.D. Faddeev, "The inverse problem in the quantum theory of scattering",

J. Math. Phys. 4 (1963) 72-104.

[3]

1959b: L.D. Faddeev, "Dispersion relations in non-relativistic scattering theory",

Soviet Physics JETP 8 (1959) 299-303.

[4]

1960a: V.S. Buslaev and L.D. Faddeev, "Formulas for traces for a singular Sturm-Liouville differential operator",

Soviet Math. Doklady 1 (1960) 451-454.

[5]

1960b: L.D. Faddeev, "Scattering theory for a three-particle system",

Soviet Physics JETP 12 (1960) 1014-1019.

[6]

1961a: L.D. Faddeev, "The resolvent of the Schr\"odinger operator for a system of three particles interacting in pairs",

Soviet Physics Doklady 6 (1961) 384-386.

[7]

1961b: F.A. Berezin and L.D. Faddeev, "Remark on the Schr\"odinger equation with singular potential",

Soviet Math. Doklady 2 (1961) 372-375.

[8]

1962a: R.A. Minlos and L.D. Faddeev, "Comment on the problem of three particles with point interactions",

Soviet Physics JETP 14 (1962) 1315-1316.

[9]

1962b: R.A. Minlos and L.D. Faddeev, "On the point interaction for a three-particle system in quantum mechanics",

Soviet Physics Doklady 6 (1962) 1072-1074.

[10]

1963a: Л.Д. Фаддеев, "Математические вопросы квантовой теории рассеяния для системы трех частиц",

Труды Мат. Инст. Стеклова 69 (1963) 1-122.

[11]

1963b: L.D. Faddeev, "On the separation of self-action and scattering effects in perturbation theory",

Soviet Physics Doklady 8 (1964) 881-883.

[12]

1963c: L.D. Faddeev, "The construction of the resolvent of the Schr\"odinger operator for a three-particle system, and the scattering problem",

Soviet Physics Doklady 7 (1963) 600-602.

[13]

1964aa: Л.Д. Фаддеев, "Операторы квантовой механики.",

\em Functional analysis, Wolters-Noordhoff Publ., Groningen,2nd edition, 1972, .

[14]

1964b: L.D. Faddeev, "On a model of Friedrichs in the theory of perturbations of the continuous spectrum",

Am. Math. Soc., Transl., II. Ser. 62 (1967) 177-203.

[15]

1964c: L.D. Faddeev, "Properties of the S-matrix of the one-dimensional Schr\"odinger equation",

Am. Math. Soc., Transl., II. Ser. 65 (1967) 139-166.

[16]

1965b: V.N. Popov and L.D. Faddeev, "An approach to the theory of the low-temperature Bose gas",

Soviet Physics JETP 20 (1965) 890-893.

[17]

1965c: L.D. Faddeev, "Increasing solutions of the Schr\"odinger equation",

Soviet Physics Doklady 10 (1966) 1033-1035.

[18]

1966: L.D. Faddeev, "Factorization of the S-matrix for the multidimensional Schr\"odinger operator",

Soviet Physics Doklady 11 (1966) 209-211.

[19]

1967a: L.D. Faddeev, "Expansion in eigenfunctions of the Laplace operator on the fundamental domain of a discrete group on the Lobachevski plane",

Transl. Moscow Math. Soc. 17 (1969) 357-386.

[20]

1967b: V. N. Popov and L.D. Faddeev, "Perturbation theory for gauge-invariant fields.",

Preprint NAL-THY-57 (1972) 36p.

[21]

1967g: L.D. Faddeev,, "Integral equations for the three-particle scattering problem.",

\em The physics of electronic and atomic collisions, Leningrad, 1967, 145-149.

[22]

1967h: L.D. Faddeev and V.N. Popov, "Feynman diagrams for the Yang-Mills field",

Phys. Lett. B25 (1967) 29-30.
{em Theory of gauge fields.} Ser. Select. Papers in Phys., Phys. Soc. Japan, Tokyo, 1970, 45-46.

[23]

1968a: D. Brill, S. Deser, and L.D. Faddeev, "Sign of gravitational energy",

Phys. Lett. A26 (1968) 538-539.

[24]

1968d: А.А. Абрикосов, Л.Д. Фаддеев и И.М. Халатников, "Проблемы современной физики",

Вестник АН СССР 12 (1968) 85-88.

[25]

1969a: L.D. Faddeev, "The Feynman integral for singular Lagrangians",

Theor. Math. Phys. 1 (1969) 1-13.
{em Theory of gauge fields.} Ser. Select. Papers in Phys., Phys. Soc. Japan, Tokyo, 1970, 32-40.

[26]

1970a: A.A. Slavnov and L.D. Faddeev, "Massless and massive Yang-Mills field",

Theor. Math. Phys. 3 (1970) 312-316.

[27]

1970b: P.P. Kulish and L.D. Faddeev, "Asymptotic conditions and infrared divergencies in quantum electrodynamics",

{em Quantum electrodynamics.} Ser. Select. Papers in Phys., Phys. Soc. Japan, Tokyo, 1976, 248-260.
Theor. Math. Phys. 4 (1970) 745-757.

[28]

1970d: L.D. Faddeev, "Recent developments in the integral equations treatment of the few-body scattering problem",

Three body problem in nuclear and particle physics, North Holland, Amsterdam, 1970, -13

[29]

1971a: L.D. Faddeev, "Symplectic structure and quantization of the Einstein gravitation theory.",

\em Actes du Congr\`es International des Math\'ematiciens (Nice, 1970), Gauthier-Villars, Paris,vol. 3, 1971, 35-39.

[30]

1971aa: L.D. Faddeev, "Three-dimensional inverse problem in the quantum theory of scattering.",

Preprint ITP-71-106E (1971) 28 pp.

[31]

1971b: V.E. Zakharov and L.D. Faddeev, "Korteweg-de Vries equation: a completely integrable Hamiltonian system",

{em Exact solutions.} Ser. Select. Papers in Phys., Phys. Soc. Japan, Tokyo, 1972, 175-182.
Funct. Anal. Appl. 5 (1971) 280-287.

[32]

1971c: L.D. Faddeev, "On the theory of the stability of stationary plane parallel flows of an ideal fluid",

J. Soviet Math. 1 (1973) 518-525.

[33]

1971f: A.A. Slavnov and L.D. Faddeev, "Invariant perturbation theory for nonlinear chiral Lagrangians",

Theor. Math. Phys. 8 (1971) 843-850.

[34]

1972c: B.S. Pavlov and L.D. Faddeev, "Scattering theory and automorphic functions",

J. Soviet Math. 3 (1975) 522-548.

[35]

1972d: A.M. Vershik and L.D. Faddeev, "Differential geometry and Lagrangian mechanics with constraints",

Soviet Physics Doklady 17 (1972) 34-36.

[36]

1972e: L.D. Faddeev, "Asymptotic conditions and infrared divergencies in quantum electrodynamics",

(New developments in the relativistic quantum field theory and its applications) Acta Univ. Bratislaviensis 1 no. 164 (1972) 69-78.

[37]

1973a: A.B. Venkov, V.L. Kalinin and L.D. Faddeev, "A nonarithmetic derivation of the Selberg trace formula",

J. Soviet Math. 8 (1977) 171-199.

[38]

1973b: L.D. Faddeev and V.N. Popov, "Covariant quantization of the gravitational field",

Soviet Phys. Uspekhi 16 (1974) 777-788.

[39]

1973c: L.D. Faddeev, "Gauge-invariant model of electromagnetic and weak lepton interactions",

Soviet Physics Doklady 18 (1973) 382.

[40]

1973d: L.D. Faddeev and A.A. Slavnov, "Higher orders in the invariant perturbation theory for chiral Lagrangians",

Lett. Nuovo Cimento 8 (1973) 117-120.

[41]

1974a: L.D. Faddeev, "The inverse problem in the quantum theory of scattering. II",

J. Soviet Math. 5 (1974) 334-396.

[42]

1974b: L.D. Faddeev and L.A. Takhtajan, "Essentially nonlinear one-dimensional model of the classical field theory",

Theor. Math. Phys. 21 (1975) 1046-1057.
{em Problems of elementary particle physics.} Proc. of Yerevan, 1975, Yerevan,vol. 2, 1976, 432-457.

[43]

1974c: V.E. Zakharov, L.A. Takhtadjan and L.D. Faddeev, "Complete description of solutions of the sine-Gordon equation",

Soviet Physics Doklady 19 (1975) 824-826.

[44]

1974d: L.D. Faddeev, "Vortex-like solutions in a unified model of electromagnetic and weak interactions of leptons.",

Preprint MPI-PAE/PTh 16 (1974) 9 pp.

[45]

1974e: I.Ya. Arefeva, L.D. Faddeev, and A.A. Slavnov, "Generating functional for the S matrix in gauge theories",

Theor. Math. Phys. 21 (1975) 1165-1172.

[46]

1975a: L.D. Faddeev, "Differential-geometric structures, and quantum field theory",

Proc. Steklov Math. Inst. 1 (1978) 223-228.

[47]

1975b: V.E. Korepin and L.D. Faddeev, "Quantization of solitons",

Theor. Math. Phys. 25 (1975) 1039-1049.

[48]

1975bb: L.D. Faddeev, V.E. Korepin and P.P. Kulish, "Quantization of solitons",

JETP Letters 21 (1975) 138-139.

[49]

1975c: A. M. Vershik and L.D. Faddeev, "Lagrangian mechanics in invariant formulation",

Selecta Math. Soviet 1 no. 4 (1981) 339-350.

[50]

1975d: A.G. Reyman and L.D. Faddeev, "On a class of infinite-dimensional dynamical systems",

Vestnik Leningrad Univ., Math. 8 (1980) 145-150.

[51]

1975f: L.D. Faddeev and L.A. Takhtajan, "Essentially nonlinear one-dimensional model of the classical field theory. (Addendum)",

Theor. Math. Phys. 22 (1975) 100.

[52]

1975hh: L.D. Faddeev, "Hadrons from leptons?",

JETP Letters 21 (1975) 64-65.

[53]

1975i: L.D. Faddeev, "Quantization of solitons",

Preprint IAS Print-75-QS70 (1975) 32 pp.

[54]

1976a: L.A. Takhtajan and L.D. Faddeev, "The Hamiltonian system connected with the equation $u\sb\xi \sb\eta +\rm sin u=0$",

Proc. Steklov Inst. Math. 142 (1979) 277-289.

[55]

1976c: L.D. Faddeev, "Introduction to the functional methods",

{em Methods in field theory} (Proc. of Les Houches, Session XXVIII, 1975), North-Holland, Amsterdam, 1976, 3-40.

[56]

1976cc: L.D. Faddeev, "Localized solutions of nonlinear classical field equations and their quantum interpretation",

{em Methods in field theory} (Proc. of Les Houches, Session XXVIII, 1975), North-Holland, Amsterdam, 1976, 253-254.

[57]

1976d: P.P. Kulish, S.V. Manakov, and L.D. Faddeev, "Comparison of the exact quantum and quasiclassical results for the nonlinear Schr\"odinger equation",

Theor. Math. Phys. 28 (1976) 615-620.

[58]

1976e: D. Brill, S. Deser, and L.D. Faddeev, "Positive definiteness of gravitational field energy.",

{em Проблемы гравитации} (Труды V Междунар. конфер. по гравитации и теории относительности. Тбилиси, 1968), Тбилиси, 1976, 32-42.

[59]

1976ee: L.D. Faddeev, "Some comments on the many dimensional solitons",

Lett. Math. Phys. 1 (1976) 289-293.

[60]

1976ff: L.D. Faddeev and V.E. Korepin, "About the zero mode problem in the quantization of solitons",

Phys. Lett. B63 (1976) 435-438.

[61]

1977b: M.A. Semenov-Tian-Shansky and L.D. Faddeev, "On the theory of nonlinear chiral fields",

Vestnik Leningrad Univ., Math. 10 (1982) 319-327.

[62]

1977i: L.D. Faddeev, "Quantization of solitons",

\em Труды Международной конференции по физике высоких энергий. (Тбилиси, 1976)., JINR, Дубна,т. 2, 1977, 751-752.

[63]

1978b: L.D. Faddeev and P.P. Kulish, "Quantization of particle-like solutions in field theory",

Lecture Notes in Phys. 80 (1978) 270-278.

[64]

1978c: L.D. Faddeev and V.E. Korepin, "Quantum theory of solitons",

Physics Reports C42 no. 1 (1978) 1-87.

[65]

1978d: E.K. Sklyanin and L.D. Faddeev, "Quantum mechanical approach to completely integrable field theory models",

Soviet Physics Doklady 23 (1978) 902-904.

[66]

1978ee: Л.Д. Фаддеев, "Работы В.А. Фока по математической физике",

Труды оптического ин-та (ГОИ) 43 вып. 177 (1978) 37-39.

[67]

1978h: B.S. Pavlov and L.D. Faddeev, "Zero sets of operator functions with a positive imaginary part",

Lecture Notes in Math. 1043 (1984) 124-128.

[68]

1978j: L.D. Faddeev, "Introduction to the functional methods in quantum field theory.",

\em Proc. of the III School on elementary particles and high energy physics. (Primorsko, Bulgaria, 1977)., Sofia, 1978, 193-238.

[69]

1979a: L.A. Takhtajan and L.D. Faddeev, "The quantum method for the inverse problem and the XYZ Heisenberg model",

Russian Math. Surveys 34 (1979) 11-68.

[70]

1979b: E.K. Sklyanin, L.A. Takhtajan, and L.D. Faddeev, "Quantum inverse problem method. I",

Theor. Math. Phys. 40 (1979) 688-706.
{em Solitons in solids} Ser. Select. Papers in Phys., Phys. Soc. Japan, Tokyo, 1980, 78-96.

[71]

1979c: A.G. Izergin, V.E. Korepin, M.A. Semenov-Tian-Shansky, and L.D. Faddeev, "Gauge conditions for a Yang-Mills field",

Theor. Math. Phys. 38 (1979) 1-9.

[72]

1979e: L.D. Faddeev, "Einstein and several contemporary tendencies in the theory of elementary particles.",

Astrofisica e cosmologia, gravitazione, quanti e relativita. Negli sviluppi del pensiero scientifico di A. Einstein, Giunti Barbera, Firenze, 1979, 765-793.
\em Relativity, quanta, and cosmology in the development of the scientific thought of A. Einstein, Johnson Repr. Corp., NY,vol. 1, 1979, 247-266.

[73]

1980a: L.D. Faddeev, "Quantum completely integrable models in field theory.",

\em Mathematical physics reviews. Sect. C.: Mathematical physics, Harwood Acad. Publ., Chur,vol. 1, 1980, 107-155.

[74]

1980g: L.D. Faddeev and P.P. Kulish, "Development of the quantum inverse problem method",

\em Workshop on nonlinear evolution equations and dynamical systems. (Crete, 1980), Orthodox Acad. of Crete, Chania, 1980, 121.

[75]

1981c: L.D. Faddeev and O.A. Yakubovski, "On imaginary paradoxes in few-particle scattering theory",

Soviet J. Nucl. Phys. 33 (1981) 331-332.

[76]

1981d: L.D. Faddeev, "Two-dimensional integrable models in quantum field theory",

Physica Scripta 24 no. 5 (1981) 832-835.

[77]

1981e: L.D. Faddeev and L.A. Takhtajan, "What is the spin of a spin wave?",

Phys. Lett. A85 (1981) 375-377.

[78]

1981f: A.M. Veselova and L.D. Faddeev, "A singularity in Coulomb three-particle scattering on the threshold of ionization",

Studia Logica 40 no. 3 (1981) 42-46.

[79]

1981g: L.A. Takhtajan and L.D. Faddeev, "The spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model",

J. Soviet Math. 24 (1984) 241-267.

[80]

1981h: L.D. Faddeev, "Quantum scattering transformation.",

\em Structural elements in particle physics and statistical mechanics (NATO ASI series. Ser. B: Physics) 82 (1983) 93-114.

[81]

1982a: L.A. Takhtajan and L.D. Faddeev, "A simple connection between geometric and Hamiltonian representations of integrable nonlinear equations",

J. Soviet Math. 28 (1985) 800-806.

[82]

1982b: L.D. Faddeev, "The energy problem in Einstein's theory of gravitation",

Soviet Phys. Uspekhi 25 (1982) 130-142.

[83]

1982g: L.D. Faddeev, "Recent development of quantum spectral transform (QST).",

VII Brazilian symposium on theoretical physics, Rio de Janeiro, 1982, CNPq, Brasilia, 1984, 257-274.
\em Recent development in gauge theory and integrable systems, Kyoto Univ., RIMS, 1982, 53-71.

[84]

1983a: V.O. Tarasov, L.A. Takhtajan, and L.D. Faddeev, "Local Hamiltonians for integrable quantum models on a lattice",

Theor. Math. Phys. 57 (1983) 1059-1073.

[85]

1983c: N.Yu. Reshetikhin and L.D. Faddeev, "Hamiltonian structures for integrable field theory models",

Theor. Math. Phys. 56 (1983) 847-862.

[86]

1983e: L.D. Faddeev, "Integrable models in (1+1)-dimensional quantum field theory",

\em Recent advances in field theory and statistical mechanics} (Proc. of Les Houches, Session XXXIX, 1982), North-Holland, Amsterdam, 1984, 561-608.

[87]

1983f: L.D. Faddeev, "Note on the paper by V.I. Denisov and V.O. Solov'ev",

Theor. Math. Phys. 56 (1983) 842.

[88]

1983g: L.D. Faddeev and L.A. Takhtajan, "Integrability of quantum O(3) nonlinear $\sigma$-model.",

Preprint LOMI E-4-83 (1983) 19pp.

[89]

1984h: A.G. Reyman, M.A. Semenov-Tian-Shansky, and L.D. Faddeev, "Quantum anomalies and cocycles on gauge groups",

Funct. Anal. Appl. 18 (1984) 319-326.

[90]

1984j: L.D. Faddeev and N.Yu. Reshetikhin, "Evaluation of an infinite product of special matrices",

Lecture Notes in Math. 1043 (1984) 177-179.

[91]

1984k: L.D. Faddeev, "General properties of field theory: Introductory remarks",

\em High energy physics (Proc. of 22th Int. conf. on high energy physics, Leipzig, 1984, Berlin-Zeuthen,vol.1, 1984, 121.

[92]

1984kk: L.D. Faddeev and S.L. Shatashvili, "Algebraic and Hamiltonian methods in the theory of nonabelian anomalies",

Theor. Math. Phys. 60 (1985) 770-778.

[93]

1984m: L.D. Faddeev, "Operator anomaly for the Gauss law",

Phys. Lett. B145 (1984) 81-84.

[94]

1985c: L.D. Faddeev, "Classical and quantum $L$-matrices",

Lecture Notes in Phys. 242 (1985) 158-174.

[95]

1985d: L.D. Faddeev and L.A. Takhtajan, "Poisson structure for the KdV equation",

Lett. Math. Phys. 10 (1985) 183-188.

[96]

1985e: L.D. Faddeev, "Cocycles of the current group and the quantum theory of Yang-Mills fields",

Russian Math. Surveys 40 no. 4 (1985) 129-133.

[97]

1986b: L.D. Faddeev, "Can theories with anomalies be quantized?",

Supersymmetry and its applications: superstrings, anomalies, and supergravity, Cambridge Univ. Press, Cambridge, 1986, 41-53.

[98]

1986c: L.D. Faddeev and L.A. Takhtajan, "Liouville model on the lattice",

Lecture Notes in Phys. 246 (1986) 166-179.

[99]

1986d: V.S. Buslaev, L.D. Faddeev, and L.A. Takhtajan, "Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation",

Physica D18 (1986) 255-266.

[100]

1986e: L.D. Faddeev and N.Yu. Reshetikhin, "Integrability of the principal chiral field model in $1+1$ dimension",

Ann. Physics 167 (1986) 227-256.

[101]

1986g: L.D. Faddeev and S.L. Shatashvili, "Realization of the Schwinger term in the Gauss law and the possibility of correct quantization of a theory with anomalies",

Phys. Lett. B167 (1986) 225-228.

[102]

1987a: A.Yu. Alekseev, Ya. Mada{i}chik, L.D. Faddeev, and S.L. Shatashvili, "Derivation of an anomalous commutator in the formalism of a functional integral",

Theor. Math. Phys. 73 (1988) 1149-1151.

[103]

1987g: L.D. Faddeev, "Hamiltonian approach to the theory of anomalies",

\em Recent Development in Mathematical Physics (Proc. of XXVI Int. Universit\"atswochen f\"ur Kernphysik, Schladming, Austria, 1987), Springer-Verlag, Berlin, 1987, 137-159.

[104]

1987h: L.D. Faddeev, "Thirty years in mathematical physics",

Proc. Steklov Inst. Math. 176 (1988) 3-28.

[105]

1988a: A. Alekseev, L. Faddeev, and S. Shatashvili, "Quantization of symplectic orbits of compact Lie groups by means of the functional integral",

J. Geom. Phys. 5 (1988) 391-406.

[106]

1988b: L.D. Faddeev, N.Yu. Reshetikhin, and L.A. Takhtajan,, "Quantization of Lie groups and Lie algebras",

Yang-Baxter equation in integrable systems, World Sci. Publ., Singapore, 1990, 299-309.
Algebraic analysis vol.1 (1988) 129-139.

[107]

1988d: L.Faddeev and R. Jackiw, "Hamiltonian reduction of unconstrained and constrained systems",

Phys. Rev. Lett. 60 (1988) 1692-1694.

[108]

1989a: L.D. Faddeev, "Quantum groups",

Bull. Brasil Math. Soc. (N.S.) 20 no. 1 (1989) 47-54.
{em Frontiers of physics.} Proc. of Landau memorial conf., Tel Aviv, 1988, Pergamon Press, Oxford, 1990, 113-120.

[109]

1989b: L. Faddeev, N. Reshetikhin, and L. Takhtajan, "Quantum groups",

Braid group, knot theory and statistical mechanics, World Sci. Publ., Singapore, 1989, 97-110.

[110]

1989c: N.Yu. Reshetikhin, L.A. Takhtajan, and L.D. Faddeev, "Quantization of Lie groups and Lie algebras",

Leningrad Math. J. 1 (1990) 193-225.

[111]

1989d: L.D. Faddeev, "A mathematician's view of the development of physics.",

Les relations entre les math\'ematiques et la physique th\'eorique, Inst. Hautes \'Etudes Sci., Bures-Sur-Yvette, 1998, 73-79.
Miscellanea Mathematica, Springer-Verlag, Berlin-Heidelberg, 1991, 119-127.
\em Frontiers in physics, high technology, and mathematics (Proc. of Trieste, 1989), World Sci. Publ., Singapore, 1990, 238-246.

[112]

1990d: L.D. Faddeev, "Lectures on quantum inverse scattering method",

New problems, methods and techniques in quantum field theory and statistical mechanics, World Sci. Publ., Singapore, 1990, 7-54.
\em Integrable systems (Nankai Lectures Math. Phys., Tianjin, 1987), World Sci. Publ., Singapore, 1990, 23-70.

[113]

1990e: L.D. Faddeev, "On the relation between mathematics and physics",

Integrable systems (Nankai Lectures Math. Phys., Tianjin, 1987), World Sci. Publ., Singapore, 1990, 3-9.

[114]

1990g: L.D. Faddeev, "On the exchange matrix for WZNW model",

Commun. Math. Phys. 132 (1990) 131-138.

[115]

1991c: A.Yu. Alekseev and L.D. Faddeev, "$(T\sp *G)\sb t$: a toy model for conformal field theory",

Commun. Math. Phys. 141 (1991) 413-422.

[116]

1991g: L.D. Faddeev, "From integrable models to quantum groups",

\em Fields and particles (Proc. of XXIX Int. Universitätswochen für Kernphysik, Schladming, Austria, 1990), Springer, Berlin, 1990, 89-116

[117]

1991h: A. Yu. Alekseev, L.D. Faddeev, M.A. Semenov-Tian-Shansky, A.Yu. Volkov, "The unravelling of the quantum group structure in the WZNW theory",

Preprint CERN-TH-5981-91 (1991) 16 pp.

[118]

1992a: L.D. Faddeev, "Hamiltonian methods in conformal field theory.",

\em Mathematical physics, X (Proc. of Xth Congr. on math. phys., Leipzig, 1991, Springer, Berlin, 1992, 123-135.

[119]

1992b: A.Yu. Volkov and L.D. Faddeev, "Quantum inverse scattering method on space-time lattice",

Theor. Math. Phys. 92 (1992) 837-842.

[120]

1992c: L.D. Faddeev, "Quantum symmetry in conformal field theory by Hamiltonian methods",

\em New symmetry principles in quantum field theory (NATO ASI series. Ser. B: Physics) 295 (1992) 159-175.
Braid group, knot theory and statistical mechanics, II, World Sci. Publ., River Edge, NJ, 1994, 108-129.

[121]

1992d: A.Yu. Alekseev and L.D. Faddeev, "Involution and dynamics for the $q$-deformed quantum top",

J. Math. Sci. 77 (1995) 3137-3145. ArXiv:hep-th/9406196

[122]

1992e: A. Alekseev, L. Faddeev, and M. Semenov-Tian-Shansky, "Hidden quantum groups inside Kac-Moody algebra",

Lecture Notes in Math. 1510 (1992) 148-158.
Commun. Math. Phys. 149 (1992) 335-345.

[123]

1992f: L.D. Faddeev, "Integrable models, quantum groups and conformal field theory",

Preprint SFB288-01 (1992) 36 pp.

[124]

1993b: L.D. Faddeev, "From integrable models to conformal field theory via quantum groups",

\em Integrable systems, quantum groups, and quantum field theories (NATO ASI series. Ser. C: Math. phys. sci.) 409 (1993) 1-24.

[125]

1993d: L. Faddeev and A.Yu. Volkov, "Abelian current algebra and the Virasoro algebra on the lattice",

Phys. Lett. B315 (1993) 311-318. ArXiv:hep-th/9307048

[126]

1993f: L.D. Faddeev, "The Bethe ansatz (Andrejewski lectures)",

Preprint SFB288-70 (1993) 39 pp.

[127]

1994d: L. Faddeev and A.Yu. Volkov, "Hirota equation as an example of an integrable symplectic map",

Lett. Math. Phys. 32 (1994) 125-135. ArXiv:hep-th/9405087

[128]

1994dd: L. Faddeev and A.Yu. Volkov, "The new results on lattice deformation of current algebra",

Infinite-dimensional geometry, noncommutative geometry, operator algebras, fundamental interactions. Proc. of Saint-FranCois, 1993, World Sci. Publ., River Edge, NJ, 1995, 46-56.
Lect. Notes Phys. 436 (1994) 1-10.

[129]

1994e: L.D. Faddeev and R.M. Kashaev, "Quantum dilogarithm",

Modern Phys. Lett. A9 (1994) 427-434. ArXiv:hep-th/9310070

[130]

1994g: L.D. Faddeev, "Integrable models on space-time lattice",

Proceedings of the XIth Int. Congress on mathematical physics, Paris, 1994, Internat. Press, Cambridge, MA, 1995, 513-520.

[131]

1994h: L.D. Faddeev, G.P. Korchemsky, and L.N. Lipatov, "Multi-color QCD at high energies and one-dimensional Heisenberg magnet",

Continuous advances in QCD, Minneapolis, 1994, 32-41.

[132]

1994j: L.D. Faddeev and G.P. Korchemsky, "High energy QCD as a completely integrable model",

Phys. Lett. B342 (1995) 311-322. ArXiv:hep-th/9404173

[133]

1995c: L.D. Faddeev, "Traces of integrability in high energy QCD",

Proceedings of the XIth Int. Congress on mathematical physics, Paris, 1994, Internat. Press, Cambridge, MA, 1995, 722.

[134]

1995e: A.Yu. Volkov and L.D. Faddeev, "Yang-Baxterization of quantum dilogarithm",

J. Math. Sci. 88 (1998) 202-207.

[135]

1995g: L.D. Faddeev and O. Tirkkonen, "Connections of the Liouville model and XXZ spin chain",

Nuclear Phys. B453 (1995) 647-669. ArXiv:hep-th/9506023

[136]

1995i: L.D. Faddeev, "Discrete Heisenberg-Weyl group and modular group",

Lett. Math. Phys. 34 (1995) 249-254. ArXiv:hep-th/9504111

[137]

1995j: L.D. Faddeev, "Instructive history of the quantum inverse scattering method",

Acta Appl. Math. 39 (1995) 69-84.

[138]

1995k: L.D. Faddeev and R.M. Kashaev, "Generalized Bethe ansatz equations for Hofstadter problem",

Commun. Math. Phys. 169 (1995) 181-191. ArXiv:hep-th/9312133

[139]

1995l: L.D. Faddeev, "Algebraic aspects of the Bethe ansatz",

Int. J. Modern Phys. A10 (1995) 1845-1878. ArXiv:hep-th/9404013

[140]

1996b: A.G. Bytsko and L.D. Faddeev, "$(T\sp *B)\sb q, q$-analog of model space and the Clebsch-Gordan coefficients generating matrices",

J. Math. Phys. 37 (1996) 6324-6348. ArXiv:q-alg/9508022

[141]

1996c: L. Faddeev, "Current-like variables in massive and massless integrable models",

\em Quantum groups and their applications in physics (Proc. Varenna, 1994), IOS Press, Amsterdam, 1996, 117-135. ArXiv:hep-th/9408041

[142]

1996d: L.D. Faddeev and P.N. Pyatov, "The differential calculus on quantum linear groups",

\em Contemporary mathematical physics (AMS Transl.) Ser. 2, vol. 175 (1996) 35-47. ArXiv:hep-th/9402070

[143]

1996f: L.D. Faddeev, "How algebraic Bethe ansatz works for integrable models",

\em Sym\'etries quantiques (Proc. of Les Houches, Session LXIV 1995), North-Holland, 1998, 149-219. ArXiv:hep-th/9605187

[144]

1997b: L. Faddeev and A. Volkov, "Quantum integrable models on $1+1$ discrete space time",

\em Quantum fields and quantum space time (NATO ASI series. Ser. B: Physics), Plenum, NY,364, 1997, 73-91

[145]

1997c: L. Faddeev and A. Volkov, "Shift operator for the discrete $\rm SL(2)$ current algebra",

\em Deformation theory and symplectic geometry (Mathematical Physics Studies) 20 (1997) 35-42.

[146]

1997dd: L. Faddeev and A. Volkov, "Shift operator for nonabelian lattice current algebra",

Publ. Res. Inst. Math. Sci. 40 (2004) 1113-1125. ArXiv:hep-th/9606088

[147]

1997e: L.D. Faddeev, "Large new applications of Bethe ansatz",

Lecture Notes in Phys. 469 (1996) 51-70.

[148]

1997ee: L.D. Faddeev and A.J. Niemi, "Toroidal configurations as stable solitons",

ArXiv:hep-th/9705176

[149]

1997g: L.D. Faddeev and A.J. Niemi, "Knots and particles",

Nature 387 (1997) 58-61. ArXiv:hep-th/9610193

[150]

1998d: A.Yu. Alekseev, L.D. Faddeev, J. Fr{"o}hlich, and V. Schomerus, "Representation theory of lattice current algebras",

Commun. Math. Phys. 191 (1998) 31-60. ArXiv:q-alg/9604017

[151]

1998g: L.D. Faddeev and A.J. Niemi, "Knots as solitons",

APCTP Bull. 1 (1998) 18-22.

[152]

1999a: L.D. Faddeev, "Modern mathematical physics: What is it?",

Proc. Steklov Inst. Math. 226 (1999) 1-4.

[153]

1999c: L.D. Faddeev, "Instructive history of the quantum inverse scattering method",

\em Quantum field theory: perspective and prospective (Proc. of Les Houches, 1998), (NATO ASI series. Ser. C: Math. phys. sci.), Kluwer Acad. Publ., Dordrecht,530, 1999, 161-176.

[154]

1999d: L.D. Faddeev and A.J. Niemi, "Decomposing the Yang-Mills field",

Phys. Lett. B464 (1999) 90-93. ArXiv:hep-th/9907180

[155]

1999f: L.D. Faddeev, "Elementary introduction to quantum field theory",

Quantum fields and strings: a course for mathematicians, AMS, Providence, RI,vol. 1, 1999, 513-550.

[156]

1999g: L.D. Faddeev and A.Yu. Volkov, "Algebraic quantization of integrable models in discrete space-time",

Discrete integrable geometry and physics, Clarendon Press, Oxford, 1999, 301-319. ArXiv:hep-th/9710039

[157]

1999h: L.D. Faddeev and A.J. Niemi, "Partial duality in SU(N) Yang-Mills theory",

Phys. Lett. B449 (1999) 214-218. ArXiv:hep-th/9812090

[158]

1999i: L.D. Faddeev and A.J. Niemi, "Partially dual variables in SU(2) Yang-Mills theory",

Phys. Rev. Lett. 82 (1999) 1624-1627. ArXiv:hep-th/9807069

[159]

2000a: L.D. Faddeev, "Modular double of a quantum group",

Quantization, deformation, and symmetries. Mathematical Physics Studies, Kluwer Acad. Publ., Dordrecht,21, 2000, 149-156. ArXiv:math/9912078

[160]

2000h: L.D. Faddeev, "Modern mathematical physics: what it should be",

Mathematical physics 2000. International congress, London, GB, 2000., Imperial College Press, London, 2000, 1-8. ArXiv:math-ph/0002018

[161]

2000j: L.D. Faddeev and A.J. Niemi, "Magnetic geometry and the confinement of electrically conducting plasmas",

Phys. Rev. Lett. 85 (2000) 3416-3419. ArXiv:physics/0003083

[162]

2000k: L.D. Faddeev, "From Yang-Mills field to solitons and back again",

\em From the Planck length to the Hubble radius (Proc. of XXXVI Summer school on subnuclear physics, Erice, Italy, 1998), 1998, 673-685. ArXiv:hep-th/9901037

[163]

2000m: L.D. Faddeev, "Advent of the Yang-Mills field",

\em Highlights of mathematical physics (Proc. of Congr. Math. Phys., London, 2000), AMS, Providence, RI, 2002, 133-141.

[164]

2001a: L.D. Faddeev, "Knotted solitons and their physical applications",

Roy. Soc. Lond. Philos. Trans., Ser. A Math. Phys. Eng. Sci. 359 (2001) 1399-1403.

[165]

2001b: L.D. Faddeev, R.M. Kashaev and A.Yu. Volkov, "Strongly coupled quantum discrete Liouville theory. I. Algebraic approach and duality",

Commun. Math. Phys. 219 (2001) 199-219. ArXiv:hep-th/0006156

[166]

2001e: L.D. Faddeev, "Quantizing the Yang-Mills fields",

\em At the frontier of particle physics. Handbook of QCD. (Boris Ioffe Festschrift), World Sci. Publ., Singapore,Vol. 1-3, 2001, 80-88.

[167]

2002a: L.D. Faddeev, "Knotted solitons",

\em Proc. of the Int. Congr. of Mathematicians (Beijing, 2002), Higher Education Press, Beijing,vol. 1, 2002, 235-244. ArXiv:math-ph/0212079

[168]

2002b: L.D. Faddeev, "Mass in quantum Yang-Mills theory (comment on a Clay millenium problem)",

{em Perspectives in analysis.} Mathematical Physics Studies, Springer, 2005, 63-72.
Bull. Brazil Math. Soc. (N.S.) 33 no. 2 (2002) 201-212.

[169]

2002d: L.D. Faddeev and R.M. Kashaev, "Strongly coupled quantum discrete Liouville theory. II Geometric interpretation of the evolution operator",

J. Phys. A35 (2002) 4043-4048. ArXiv:hep-th/0201049

[170]

2002e: L.D. Faddeev, L. Freyhult, A.J. Niemi, and P. Rajan, "Shafranov's virial theorem and magnetic plasma confinement",

J. Phys. A35 (2002) L133-L139. ArXiv:physics/0009061

[171]

2002f: L.D. Faddeev and A.J. Niemi, "Aspects of electric and magnetic variables in SU(2) Yang-Mills theory",

Phys. Lett. B525 (2002) 195-200. ArXiv:hep-th/0101078

[172]

2002h: E. Babaev, L.D. Faddeev, and A.J. Niemi, "Hidden symmetry and knot solitons in a charged two-condensate Bose system",

Phys. Rev. B65 (2002) 100512. ArXiv:cond-mat/0106152

[173]

2003a: L.D. Faddeev, A.J. Niemi, and W. Ulrich, "Glueballs, closed fluxtubes, and eta(1440)",

Phys. Rev. D70 (2004) 114033. ArXiv:hep-ph/0308240

[174]

2004a: T.A. Bolokhov and L.D. Faddeev, "Infrared variables for the SU(3) Yang-Mills field",

Theor. Math. Phys. 139 (2004) 679-692.

[175]

2004b: L.D. Faddeev, "Algebraic lessons from the theory of quantum integrable models",

\em The unity of mathematics: In honor of the ninetieth birthday of I.M. Gelfand. Progress in Mathematics. (Int. conf. MIT, 2003), Birkh\"auser,224, 2006, 305-320.

[176]

2005b: L.D. Faddeev, "What is complete integrability in quantum mechanics",

\em Nonlinear equations and spectral theory (AMS Transl. Ser. 2) 220 (2007) 83-90.
\em Proc. of the Symposium H. Poincar\'e, Solvay Institute, Brussels, 2004, 9 pp.

[177]

2006a: L.D. Faddeev, "History and perspectives of quantum groups (Leonardo da Vinci lecture, 2005)",

Milan Journal of Mathematics 74 (2006) 279-294.

[178]

2006b: L.D. Faddeev, "Notes on divergences and dimensional transmutation in Yang-Mills theory",

Theor. Math. Phys. 148 (2006) 986-994.

[179]

2006c: L.D. Faddeev and A.J. Niemi, "Spin-charge separation, conformal covariance, and the SU(2) Yang-Mills theory",

Nuclear Phys. B776 (2007) 38-65. ArXiv:hep-th/0608111

[180]

2006d: L.D. Faddeev, "Discretized Virasoro algebra",

\em Noncommutative geometry and representation theory in mathematical physics. Contemporary Mathematics, AMS, Providence, RI,391, 2006, 59-67.

[181]

2007a: L.D. Faddeev, "Discrete series of representations for the modular double of $U_q(sl(2,\mathbb R))$",

Funct. Anal. Appl. 42 (2008) 330-335. ArXiv:0712.2747 [math.QA]

[182]

2008a: L.D. Faddeev and A.Yu. Volkov, " Discrete evolution for the zero-modes of the quantum Liouville model",

J. Phys. A: Math. Theor. 41 (2008) 194003. ArXiv:0803.0230 [hep-th]

[183]

2008b: M.N. Chernodub, L.D. Faddeev, and A.J. Niemi, " Non-abelian supercurrents and de Sitter ground state in electroweak theory",

Journal of High Energy Physics 12 (2008) 014. ArXiv:0804.1544 [hep-th]

[184]

2008c: L.D. Faddeev, "Knots as possible excitations of the quantum Yang-Mills fields",

Quantum field theory and beyond: Essays in honor of Wolfhart Zimmermann, World Scientific, 2008, 156-166. ArXiv:0805.1624 [hep-th]

[185]

2009a: L.D. Faddeev, "An alternative interpretation of the Weinberg-Salam model",

\em Progress in high energy physics and nuclear safety (NATO Science for Peace and Security Series B: Physics and Biophysics) (2009) 3-8 ArXiv:0811.3311 [hep-th]

[186]

2009b: L.D. Faddeev, "New action for the Hilbert-Einstein equations",

ArXiv:0906.4639

[187]

2010a: L.D. Faddeev, "Faddeev-Popov ghosts",

Int. J. Mod. Phys. A 25 (2010) 1079-1089.

[188]

2010b: L.D. Faddeev, "Separation of scattering and selfaction revisited",

\em Subtleties in quantum field theory (Lev Lipatov Festschrift, ed. D. Diakonov), Petersburg Nuclear Physics Institute, Gatchina, 2010, 1-6.

[189]

2010c: L.D. Faddeev, "3+1 decomposition in the new action for the Einstein theory of gravitation",

ArXiv:1003.2311

[190]

2011a: L.D. Faddeev, "Volkov pentagon for the modular quantum dilogarithm",

Funct. Anal. Appl. 45 (2011) 291-296. ArXiv:1201.6464 [math.QA]

[191]

2011b: L.D. Faddeev, "New dynamical variables in Einstein’s theory of gravity",

Theor. Math. Phys. 166 (2011) 279-290. ArXiv:0911.0282 [hep-th]

[192]

2013a: S.E. Derkachov and L.D. Faddeev, "3j-symbol for the modular double of $SL_q(2,\mathbb R)$ revisited",

ArXiv:1302.5400

[193]

2013b: L.D. Faddeev, "The new life of complete integrability",

Physics-Uspekhi 56 n.5 (2013) 465.

[194]

2013c: L. D. Faddeev, "Examples of Hamiltonian structures in the theory of integrable models, and their quantization",

St. Petersburg Mathematical Journal 25 (2014) 295-302

[195]

2014a: L. D. Faddeev, "A couple of methodological comments on the quantum Yang-Mills theory",

Theor. Math. Phys. 181 (2014) 1638-1642

[196]

2014b: L. D. Faddeev, "Modular Double of the Quantum Group SL_q(2,R)",

Springer Proc. Math. Stat. 111 (2014) 21-31

[197]

2014c: L. D. Faddeev, "Zero modes for the quantum Liouville model",

Funct. Anal. Appl. 48 3 (2014) 166-174 ArXiv:1404.1713 [hep-th]

[198]

2015a: L. D. Faddeev and L. A. Takhtajan, "On the spectral theory of one functional-difference operator from conformal field theory",

Izvestiya: Mathematics 79 2 (2015) 388-410 ArXiv:1408.0307 [math.SP]

[199]

2015b: L. D. Faddeev, "Scenario for the renormalization in the 4D Yang-Mills theory",

ArXiv:1509.06186 [hep-th]