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",
{em Theory of gauge fields.} Ser. Select. Papers in Phys., Phys. Soc. Japan, Tokyo, 1970, 45-46.
Phys. Lett. B25 (1967) 29-30.
[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",
{em Theory of gauge fields.} Ser. Select. Papers in Phys., Phys. Soc. Japan, Tokyo, 1970, 32-40.
Theor. Math. Phys. 1 (1969) 1-13.
[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",
Theor. Math. Phys. 4 (1970) 745-757.
{em Quantum electrodynamics.} Ser. Select. Papers in Phys., Phys. Soc. Japan, Tokyo, 1976, 248-260.
[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",
{em Problems of elementary particle physics.} Proc. of Yerevan, 1975, Yerevan,vol. 2, 1976, 432-457.
Theor. Math. Phys. 21 (1975) 1046-1057.
[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.",
\em Relativity, quanta, and cosmology in the development of the scientific thought of A. Einstein, Johnson Repr. Corp., NY,vol. 1, 1979, 247-266.
Astrofisica e cosmologia, gravitazione, quanti e relativita. Negli sviluppi del pensiero scientifico di A. Einstein, Giunti Barbera, Firenze, 1979, 765-793.
[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).",
\em Recent development in gauge theory and integrable systems, Kyoto Univ., RIMS, 1982, 53-71.
VII Brazilian symposium on theoretical physics, Rio de Janeiro, 1982, CNPq, Brasilia, 1984, 257-274.
[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",
Algebraic analysis vol.1 (1988) 129-139.
Yang-Baxter equation in integrable systems, World Sci. Publ., Singapore, 1990, 299-309.
[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",
{em Frontiers of physics.} Proc. of Landau memorial conf., Tel Aviv, 1988, Pergamon Press, Oxford, 1990, 113-120.
Bull. Brasil Math. Soc. (N.S.) 20 no. 1 (1989) 47-54.
[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.",
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.
Les relations entre les math\'ematiques et la physique th\'eorique, Inst. Hautes \'Etudes Sci., Bures-Sur-Yvette, 1998, 73-79.
[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",
Braid group, knot theory and statistical mechanics, II, World Sci. Publ., River Edge, NJ, 1994, 108-129.
\em New symmetry principles in quantum field theory (NATO ASI series. Ser. B: Physics) 295 (1992) 159-175.
[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",
Lect. Notes Phys. 436 (1994) 1-10.
Infinite-dimensional geometry, noncommutative geometry, operator algebras, fundamental interactions. Proc. of Saint-FranCois, 1993, World Sci. Publ., River Edge, NJ, 1995, 46-56.
[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]