Edit Profile Faddeev, Lyudvig Dmitrievich Compute Distance To: Compute Author ID: faddeev.ludvig-dmitrievich Published as: Faddeev, L.; Faddeev, L. D.; Faddeev, L. L.; Faddeev, Ludvig; Faddeev, Ludvig D.; Faddeev, Ludvig Dmitrievich; Faddeev, Ludwig; Faddeev, Ludwig D. Homepage: http://faddeev.com/ External Links: MGP · Math-Net.Ru · Wikidata · ORCID · dblp · GND Documents Indexed: 207 Publications since 1957, including 37 Books Biographic References: 20 Publications all top 5 Co-Authors 89 single-authored 18 Takhtajan, Leon Armenovich 14 Novikov, Sergeĭ Petrovich 11 Volkov, Alexander Yu. 9 Osipov, Yuriĭ Sergeevich 7 Gonchar, Andreĭ Aleksandrovich 7 Kozlov, Valeriĭ Vasil’evich 7 Niemi, Antti J. 6 Alekseev, Anton Yu. 5 Buslaev, Vladimir Savel’evich 5 Mishchenko, Evgeniĭ Frolovich 5 Ural’tseva, Nina Nikolaevna 5 Vershik, Anatoliĭ Moiseevich 4 Bukhshtaber, Viktor Matveevich 4 Gindikin, Simon Grigorevich 4 Kashaev, Rinat M. 4 Mal’tsev, Arkadiĭ Anatol’evich 4 Margulis, Grigoriĭ Aleksandrovich 4 Maslov, Viktor Pavlovich 4 Rapinchuk, Andrei S. 4 Semenov-Tian-Shansky, Michael A. 4 Zel’manov, Efim Isaakovich 4 Zhizhchenko, Alexey B. 3 Adyan, Sergeĭ Ivanovich 3 Benyash-Krivets, Valeriĭ Vatslavovich 3 Emel’yanov, Stanislav Vasil’evich 3 Ibragimov, Il’dar Abdullovich 3 Kirillov, Alexandre Aleksandrovich 3 Ladyzhenskaya, Ol’ga Aleksandrovna 3 Marchenko, Vladimir Aleksandrovich 3 Merkur’ev, Stanislav Petrovich 3 Oskolkov, Anatolii Petrovich 3 Pastur, Leonid Andreevich 3 Prasad, Gopal 3 Reshetikhin, Nikolai Yu. 3 Sergeev, Armen Glebovich 3 Sinaĭ, Yakov Grigor’evich 3 Suslina, Tat’yana Aleksandrovna 3 Venkov, Alexei Borisovich 3 Vladimirov, Vasiliĭ Sergeevich 3 Yafaev, Dimitri R. 2 Aleksandrov, Aleksandr Danilovich 2 Anosov, Dmitriĭ Viktorovich 2 Arnol’d, Vladimir Igorevich 2 Aseev, Sergei M. 2 Babich, Vasiliĭ Mikhaĭlovich 2 Bogolyubov, Nikolaĭ Nikolaevich 2 Bolibrukh, Andreĭ Andreevich 2 Chernousov, Vladimir I. 2 Gamkrelidze, Revaz Valerianovich 2 Gorin, Evgeniĭ Alekseevich 2 Il’in, Arlen Mikhailovich 2 Il’in, Vladimir Aleksandrovich 2 Its, Alexander Rudolfovich 2 Kalinin, V. L. 2 Kiselev, Aleksei P. 2 Kislyakov, Sergeĭ Vital’evich 2 Kolmogorov, Andreĭ Nikolaevich 2 Konovalov, S. P. 2 Kostyuchenko, Anatolii Gordeevich 2 Krasnosel’skiĭ, Mark Aleksandrovich 2 Kreĭn, Selim Grigor’evich 2 Kulish, Petr Petrovich 2 Kurzhanskiĭ, Aleksandr Borisovich 2 Laptev, Ari 2 Mityagin, Boris Samuilovich 2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 2 Parshin, Alexei N. 2 Paton, Borys Yevgenovych 2 Pavlov, Boris Sergeevich 2 Petunin, Yuriĭ Ivanovich 2 Plamenevskiĭ, Boris Alekseevich 2 Reiman, A. G. 2 Rutitskij, Ya. B. 2 Sklyanin, Evgeny K. 2 Slavnov, Andrei A. 2 Sobolev, Vladimir Ivanovich 2 Solomyak, Mikhaĭl Zakharovich 2 Stet’senko, V. Ya. 2 Treshchev, Dmitriĭ Valer’evich 2 Tsitlanadze, Elizbar S. 2 Ul’yanov, Pëtr Lavrent’evich 2 Vilenkin, Naum Yakovlevich 2 Vinogradov, Askol’d Ivanovich 2 Vitushkin, Anatoli Georgievich 2 Yakubovskiĭ, O. A. 2 Zakharov, Vladimir Evgen’evich 1 Afendikov, Andrei L. 1 Agrachev, Andreĭ Aleksandrovich 1 Aldoshin, S. M. 1 Aptekarev, Alexander Ivanovich 1 Aref’eva, Irina Yaroslavna 1 Bakhvalov, Nikolai Sergeevich 1 Belokurov, Vladimir Viktorovich 1 Berezans’kyĭ, Yuriĭ Makarovych 1 Berezin, Feliks Aleksandrovich 1 Besov, Konstantin O. 1 Bolokhov, Timur A. 1 Bolotin, Sergeĭ Vladimirovich 1 Buldyrev, V. S. 1 Bytsko, Andrei G. ...and 83 more Co-Authors all top 5 Serials 21 Russian Mathematical Surveys 10 Theoretical and Mathematical Physics 6 Communications in Mathematical Physics 6 Journal of Soviet Mathematics 5 Functional Analysis and its Applications 5 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 4 Physics Letters. B 4 Uspekhi Matematicheskikh Nauk [N. S.] 4 Journal of Mathematical Sciences (New York) 4 Proceedings of the Steklov Institute of Mathematics 4 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 3 International Journal of Modern Physics A 3 Letters in Mathematical Physics 3 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 3 Soviet Physics. Doklady 3 Differential Equations 2 Doklady Akademii Nauk SSSR 2 Journal of Mathematical Physics 2 Nuclear Physics. B 2 Soviet Mathematics. Doklady 2 Journal of Physics A: Mathematical and General 2 Vestnik Leningrad University. Mathematics 2 Physical Review Letters 2 Frontiers in Physics 2 Translations. Series 2. American Mathematical Society 1 Modern Physics Letters A 1 Soviet Scientific Reviews. Section C 1 Teoreticheskaya i Matematicheskaya Fizika 1 Journal of Geometry and Physics 1 Gazette des Mathématiciens 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Selecta Mathematica Sovietica 1 Acta Applicandae Mathematicae 1 Physica D 1 Leningrad Mathematical Journal 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 St. Petersburg Mathematical Journal 1 Izvestiya: Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of High Energy Physics 1 Physica Scripta 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Soviet Physics, JETP 1 Chebyshevskiĭ Sbornik 1 Lecture Notes in Mathematics 1 Student Mathematical Library 1 NATO Science Series II: Mathematics, Physics and Chemistry 1 Journal of Physics A: Mathematical and Theoretical 1 Soviet Physics Uspekhi 1 Vestnik Leningradskogo Universiteta. Seriya 4. Fizika, Khimiya 1 Classics in Mathematics all top 5 Fields 101 Quantum theory (81-XX) 45 History and biography (01-XX) 36 Partial differential equations (35-XX) 26 Nonassociative rings and algebras (17-XX) 26 Dynamical systems and ergodic theory (37-XX) 26 Differential geometry (53-XX) 21 General and overarching topics; collections (00-XX) 15 Topological groups, Lie groups (22-XX) 14 Mechanics of particles and systems (70-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Operator theory (47-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 Relativity and gravitational theory (83-XX) 5 Ordinary differential equations (34-XX) 5 Functional analysis (46-XX) 4 Number theory (11-XX) 4 Associative rings and algebras (16-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 Manifolds and cell complexes (57-XX) 4 Fluid mechanics (76-XX) 3 Group theory and generalizations (20-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 1 Several complex variables and analytic spaces (32-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 138 Publications have been cited 3,777 times in 2,989 Documents Cited by ▼ Year ▼ Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Reprint of the 1987 original. Zbl 1111.37001Faddeev, Ludwig D.; Takhtajan, Leon A. 353 2007 Quantization of Lie groups and Lie algebras. Zbl 0715.17015Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D. 261 1990 How the algebraic Bethe ansatz works for integrable models. Zbl 0934.35170Faddeev, L. D. 166 1998 Quantum inverse problem method. I. Zbl 1138.37331Sklyanin, E. K.; Takhtadzhyan, L. A.; Faddeev, L. D. 161 1980 The spectral theory of a functional-difference operator in conformal field theory. Zbl 1327.39013Takhtajan, L. A.; Faddeev, L. D. 139 2015 Hamiltonian methods in the theory of solitons. Zbl 0632.58003Takhtadzhyan, L. A.; Faddeev, L. D. 137 1986 Hamiltonian reduction of unconstrained and constrained systems. Zbl 1129.81328Faddeev, L.; Jackiw, R. 121 1988 Quantum dilogarithm. Zbl 0866.17010Faddeev, L. D.; Kashaev, R. M. 116 1994 Discrete Heisenberg-Weyl group and modular group. Zbl 0836.47012Faddeev, L. D. 104 1995 Korteweg-de Vries equation: a completely integrable Hamiltonian system. Zbl 0257.35074Zakharov, V. E.; Faddeev, L. D. 96 1972 Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Zbl 0632.58004Faddeev, L. D.; Takhtadzhyan, L. A. 94 1987 Gauge fields: introduction to quantum theory. Transl. from the Russian ed. by D. B. Pontecorvo. Zbl 0486.53052Faddeev, L. D.; Slavnov, A. A. 85 1980 Introduction to the quantum theory of gauge fields. 2nd ed., rev. and compl. Zbl 0663.53060Slavnov, A. A.; Faddeev, L. D. 78 1988 Quantum completely integrable models in field theory. Zbl 0569.35064Faddeev, L. D. 76 1980 A remark on Schrödinger’s equation with a singular potential. Zbl 0117.06601Berezin, F. A.; Faddeev, L. D. 72 1961 Quantization of Lie groups and Lie algebras. Zbl 0677.17010Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A. 69 1989 The Feynman integral for singular Lagrangians. Zbl 1183.81090Faddeev, L. D. 68 1969 Quantum scattering theory for several particle systems. Transl. from the Russian. Zbl 0797.47005Faddeev, L. D.; Merkuriev, S. P. 62 1993 The inverse problem in the quantum theory of scattering. Zbl 0112.45101Faddeev, L. D.; Seckler, B. 60 1963 Strongly coupled quantum discrete Liouville theory. I: Algebraic approach and duality. Zbl 0981.81052Faddeev, L. D.; Kashaev, R. M.; Volkov, A. Yu. 59 2001 Inverse problem of quantum scattering theory. II. Zbl 0373.35014Faddeev, L. D. 59 1976 Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0532.47009Faddeev, L. D.; Takhtadzhyan, L. A. 56 1984 Asymptotic conditions and infrared divergences in quantum electrodynamics. Zbl 0197.26201Kulish, P. P.; Faddeev, L. D. 52 1970 Abelian current algebra and the Virasoro algebra on the lattice. Zbl 0864.17042Faddeev, L. D.; Volkov, A. Yu. 42 1993 Mathematical aspects of the three-body problem in the quantum scattering theory. Translated from Russian by Ch. Gurfreund, translation edited by I. Meroz. (Works of the Steklov Mathematical Institute. Vol. 69). Zbl 0131.43504Faddeev, L. D. 42 1965 Gauge fields. Introduction to quantum theory. Transl. from the 2nd Russian edition by G. B. Pontecorvo. Zbl 0984.81502Faddeev, L. D.; Slavnov, A. A. 41 1991 Partially dual variables in \(\text{SU}(2)\) Yang-Mills theory. Zbl 0958.81039Faddeev, Ludvig; Niemi, Antti J. 40 1999 Quantization of symplectic orbits of compact Lie groups by means of the functional integral. Zbl 0698.58025Alekseev, A.; Faddeev, L.; Shatashvili, S. 40 1988 Properties of the S-matrix of the one-dimensional Schrödinger equation. Zbl 0181.56704Faddeev, L. D. 39 1967 Expansion in eigenfunctions of the Laplace operator on the fundamental domain of a discrete group on the Lobachevskij plane. Zbl 0201.41601Faddeev, L. D. 37 1967 Modular double of a quantum group. Zbl 1071.81533Faddeev, Ludwig 36 2000 Formulas for traces for a singular Sturm-Liouville differential operator. Zbl 0129.06501Buslaev, V. S.; Faddeev, L. D. 35 1960 Algebraic aspects of the Bethe ansatz. Zbl 1044.82535Faddeev, L. D. 34 1995 Hirota equation as an example of an integrable symplectic map. Zbl 0807.35124Faddeev, L.; Volkov, A. Yu. 30 1994 \((T^*G)_ t\): a toy model for conformal field theory. Zbl 0767.17024Alekseev, A. Yu.; Faddeev, L. D. 30 1991 Essentially nonlinear one-dimensional model of classical field theory. Zbl 0299.35063Tahtadzjan, L. A.; Faddeev, L. D. 30 1975 The inverse problem in the quantum theory of scattering. II. Zbl 0299.35027Faddeev, L. D. 30 1974 Über ein Modell von Friedrichs in der Theorie der Störungen des stetigen Spektrums. Zbl 0148.12801Faddeev, L. D. 29 1964 The inverse problem in the quantum theory of scattering. Zbl 0091.21902Faddeev, L. D. 28 1959 Hidden quantum groups inside Kac-Moody algebras. Zbl 0765.17010Alekseev, A.; Faddeev, L.; Semenov-Tian-Shansky, Michael A. 25 1992 The quantum inverse problem method. I. Zbl 0449.35096Faddeev, L. D.; Sklyanin, E. K.; Takhtadzhyan, L. A. 25 1979 Complete description of solutions of the ’sine-Gordon’ equation. Zbl 0312.35051Zakharov, V. E.; Takhtadzhyan, L. A.; Faddeev, L. D. 25 1974 Increasing solutions of the Schrödinger equation. Zbl 0147.09404Faddeev, L. D. 24 1965 The energy problem in Einstein’s theory of gravitation (Dedicated to the memory of V. A. Fock). Zbl 0541.53023Faddeev, L. D. 23 1982 Eigenschaften der S-Matrix der eindimensionalen Schrödinger-Gleichung. Zbl 0145.46702Faddeev, L. D. 23 1964 Aspects of electric and magnetic variables in SU(2) Yang-Mills theory. Zbl 0983.81057Faddeev, Ludvig; Niemi, Antti J. 22 2002 Differential geometry and Lagrangian mechanics with constraints. Zbl 0243.70014Vershik, A. M.; Faddeev, L. D. 21 1972 On the exchange matrix for WZNW model. Zbl 0731.17018Faddeev, L. D. 20 1990 Lagrangian mechanics in invariant form. Zbl 0518.58015Vershik, A. M.; Faddeev, L. D. 19 1975 Partial duality in \(\text{SU}(N)\) Yang-Mills theory. Zbl 1058.81587Faddeev, Ludvig; Niemi, Antti J. 18 1999 Functional analysis. Edited by S. G. Kreĭn. Zbl 0128.10302Vilenkin, N. Ya.; Gorin, E. A.; Kostyuchenko, A. G.; Krasnosel’skiĭ, M. A.; Kreĭn, S. G.; Maslov, V. P.; Mityagin, B. S.; Petunin, Yu. I.; Rutitskiĭ, Ya. B.; Sobolev, V. I.; Stetsenko, V. Ya.; Faddeev, L. D.; Tsitlanadze, È. S. 15 1964 An expression for the trace of the difference between two singular differential operators of the Sturm-Liouville type. Zbl 0143.31403Faddeev, L. D. 15 1957 Knotted solitons. Zbl 1027.35108Faddeev, L. D. 14 2002 The differential calculus on quantum linear groups. Zbl 0866.17012Faddeev, L. D.; Pyatov, P. N. 14 1996 Decomposing the Yang-Mills field. Zbl 0987.81062Faddeev, Ludvig; Niemi, Antti J. 13 1999 Connections of the Liouville model and \(XXZ\) spin chain. Zbl 1003.82505Faddeev, Ludvig D.; Tirkkonen, Olav 13 1995 Generalized Bethe ansatz equations for Hofstadter problem. Zbl 0833.58053Faddeev, L. D.; Kashaev, R. M. 12 1995 Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation. Zbl 0618.35100Buslaev, V. S.; Faddeev, L. D.; Takhtadzhan, L. A. 11 1986 The spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0471.47009Takhtadzhyan, L. A.; Faddeev, L. D. 11 1981 Lectures on quantum mechanics for mathematics students. Translated by Harold McFaden. Zbl 1193.81001Faddeev, L. D.; Yakubovskiĭ, O. A. 10 2009 Spin-charge separation, conformal covariance and the \(\text{SU}(2)\) Yang-Mills theory. Zbl 1186.81086Faddeev, Ludvig; Niemi, Antti J. 10 2007 40 years in mathematical physics. Zbl 0837.01035Faddeev, L. D. 10 1995 Quantum completely integral models of field theory. Zbl 0443.35078Faddeev, L. D. 10 1979 Hidden quantum groups inside Kac-Moody algebras. Zbl 0798.17008Alekseev, A.; Faddeev, L.; Semenov-Tian-Shansky, Michael A. 9 1992 Poisson structure for the KdV equation. Zbl 0595.35093Faddeev, L. D.; Takhtadzhan, L. A. 9 1985 Two-dimensional integrable models in quantum field theory. Zbl 1063.81643Faddeev, L. D. 9 1981 Scattering theory and automorphic functions. Zbl 0343.35004Pavlov, B. S.; Faddeev, L. D. 9 1975 New dynamical variables in Einstein’s theory of gravity. Zbl 1274.83012Faddeev, L. D. 8 2011 Non-abelian supercurrents and de Sitter ground state in electroweak theory. Zbl 1329.81388Chernodub, M. N.; Faddeev, Ludvig; Niemi, Antti J. 8 2008 On continuous spectrum perturbation theory. Zbl 0088.09101Ladyzhenskaya, O. A.; Faddeev, L. D. 8 1958 On the relation between the S-matrix and potential for the one- dimensional Schrödinger operator. Zbl 0085.43302Faddeev, L. D. 8 1958 Knots as possible excitations of the quantum Yang-Mills fields. Zbl 1179.81115Faddeev, L. D. 7 2008 Algebraic quantization of integrable models in discrete space-time. Zbl 0931.35136Faddeev, Ludwig D.; Volkov, Alexandre Yu. 7 1999 Currentlike variables in massive and massless integrable models. Zbl 0862.35115Faddeev, L. 7 1996 Functional analysis. Translated from the Russian by Richard E. Flaherty. English edition edited by George F. Votruba with the collaboration of Leo F. Boron. Zbl 0236.47001Vilenkin, N. Ya.; Gorin, E. A.; Kostyuchenko, A. G.; Krasnosel’skiĭ, M. A.; Kreĭn, S. G.; Maslov, V. P.; Mityagin, B. S.; Petunin, Yu. I.; Rutitskiĭ, Ya. B.; Sobolev, V. I.; Stetsenko, V. Ya.; Faddeev, L. D.; Tsitlanadze, E. S. 7 1972 Volkov pentagon for the modular quantum dilogarithm. Zbl 1271.33001Faddeev, L. D. 6 2011 Discrete evolution for the zero modes of the quantum Liouville model. Zbl 1139.81385Faddeev, L. D.; Volkov, A. Yu 6 2008 Strongly coupled quantum discrete Liouville theory. II: Geometric interpretation of the evolution operator. Zbl 1066.81033Faddeev, L. D.; Kashaev, R. M. 6 2002 Mass in quantum Yang-Mills theory (comment on a Clay millenium problem). Zbl 1033.81056Faddeev, L. D. 6 2002 Knotted solitons and their physical applications. Zbl 1012.81035Faddeev, Ludwig 6 2001 Yang-Baxterization of quantum dilogarithm. Zbl 0899.17003Volkov, A. Yu.; Faddeev, L. D. 6 1995 Quantum scattering theory for systems of several particles. (Kvantovaya teoriya rasseyaniya dlya sistem neskol’kikh chastits). Zbl 0585.35078Merkur’ev, S. P.; Faddeev, L. D. 6 1985 The Hamiltonian system connected with the equation u//(xi,nu)+sin u=0. Zbl 0412.35065Takhtadzhyan, L. A.; Faddeev, L. D. 6 1976 Notes on divergences and dimensional transmutation in Yang-Mills theory. Zbl 1177.81105Faddeev, L. D. 5 2006 History and perspectives of quantum groups. Zbl 1117.17004Faddeev, L. D. 5 2006 Perturbation theory for gauge-invariant fields (With a preface by D. Gordon and B.W. Lee). Zbl 1088.81075Popov, V. N.; Faddeev, L. D. 5 2005 Yang-Baxterization of quantum dilogarithm. Zbl 0893.17014Volkov, A. Yu.; Faddeev, L. D. 5 1995 Instructive history of the quantum inverse scattering method. Zbl 0833.35120Faddeev, L. 5 1995 On the Friedrichs model in the theory of perturbations of a continuous spectrum. Zbl 0183.41902Faddeev, L. D. 5 1967 Mathematische Fragen der Quantentheorie der Streuung für Systeme von drei Teilchen. Zbl 0125.21502Faddeev, L. D. 5 1963 What is complete integrability in quantum mechanics. Zbl 1129.81042Faddeev, L. D. 4 2007 Infrared variables for the \(SU(3)\) Yang-Mills field. Zbl 1178.81178Bolokhov, T. A.; Faddeev, L. D. 4 2004 Shift operator for nonabelian lattice current algebra. Zbl 1069.81038Faddeev, Ludvig; Volkov, Alexander Yu. 4 2004 Representation theory of lattice current algebras. Zbl 0892.17019Alekseev, Anton Y.; Faddeev, Ludwig D.; Fröhlich, Jürg; Schomerus, Volker 4 1998 Quantum symmetry in conformal field theory by Hamiltonian methods. Zbl 1221.81107Faddeev, L. D. 4 1992 Quantum anomalies and cocycles on gauge groups. Zbl 0588.58001Reyman, A. G.; Semenov-Tian-Shansky, Michael A.; Faddeev, L. D. 4 1984 A nonarithmetic derivation of the Selberg trace formula. Zbl 0406.43008Venkov, A. B.; Kalinin, V. L.; Faddeev, L. D. 4 1977 Scenario for the renormalization in the 4D Yang-Mills theory. Zbl 1332.81134Faddeev, L. D. 3 2016 Modern mathematical physics: what it should be. Zbl 1074.81500Faddeev, L. D. 3 2000 \((T^*\mathcal{B})_ q\), \(q\)-analog of model space and the Clebsch-Gordan coefficients generating matrices. Zbl 0873.17018Bytsko, A. G.; Faddeev, L. D. 3 1996 Renormalization scenario for the quantum Yang-Mills theory in four-dimensional space-time. Zbl 1390.81319Derkachev, C. E.; Ivanov, A. V.; Faddeev, L. D. 2 2017 Scenario for the renormalization in the 4D Yang-Mills theory. Zbl 1332.81134Faddeev, L. D. 3 2016 Scenario for the renormalization in the 4D Yang-Mills theory. Zbl 1346.81071Faddeev, L. D. 1 2016 Fifty years of mathematical physics. Selected works of Ludwig Faddeev. Edited by Molin Ge and Antti J. Niemi. Zbl 1347.81016Faddeev, Ludwig 1 2016 The spectral theory of a functional-difference operator in conformal field theory. Zbl 1327.39013Takhtajan, L. A.; Faddeev, L. D. 139 2015 A couple of methodological comments on the quantum Yang-Mills theory. Zbl 1317.81197Faddeev, L. D. 1 2014 Modular double of the quantum group \(\mathrm{SL}_q(2,\mathbb{R})\). Zbl 1317.81162Faddeev, L. D. 1 2014 Zero modes for the quantum Liouville model. Zbl 1308.81153Faddeev, L. D. 1 2014 New dynamical variables in Einstein’s theory of gravity. Zbl 1274.83012Faddeev, L. D. 8 2011 Volkov pentagon for the modular quantum dilogarithm. Zbl 1271.33001Faddeev, L. D. 6 2011 In memory of Evgenii Frolovich Mishchenko. Zbl 1302.01048Osipov, Yu. S.; Kozlov, V. V.; Faddeev, L. D.; Anosov, D. V.; Vladimirov, V. S.; Gamkrelidze, R. V.; Gonchar, A. A.; Krasovskii, N. N.; Kryazhimskii, A. V.; Kurzhanski, A. B.; Novikov, S. P.; Aseev, S. M.; Zhizhchenko, A. B.; Treschev, D. V.; Agrachev, A. A.; Volkov, E. A.; Grigorenko, N. L.; Davydov, A. A.; Zelikin, M. I.; Kolesov, A. Yu.; Mal’tsev, A. A.; Nikol’skii, M. S.; Rozov, N. Kh.; Sergeev, A. G.; Besov, K. O.; Konovalov, S. P. 1 2010 Faddeev-Popov ghosts. Zbl 1188.81133Faddeev, Ludvig Dmitrievich 1 2010 Lectures on quantum mechanics for mathematics students. Translated by Harold McFaden. Zbl 1193.81001Faddeev, L. D.; Yakubovskiĭ, O. A. 10 2009 Non-abelian supercurrents and de Sitter ground state in electroweak theory. Zbl 1329.81388Chernodub, M. N.; Faddeev, Ludvig; Niemi, Antti J. 8 2008 Knots as possible excitations of the quantum Yang-Mills fields. Zbl 1179.81115Faddeev, L. D. 7 2008 Discrete evolution for the zero modes of the quantum Liouville model. Zbl 1139.81385Faddeev, L. D.; Volkov, A. Yu 6 2008 Discrete series of representations for the modular double of the quantum group \(U_q (sl(2, \mathbb R))\). Zbl 1213.17013Faddeev, L. D. 2 2008 Knots as possible excitations of the quantum Yang-Mills fields. Zbl 1170.81415Faddeev, Ludwig D. 1 2008 Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Reprint of the 1987 original. Zbl 1111.37001Faddeev, Ludwig D.; Takhtajan, Leon A. 353 2007 Spin-charge separation, conformal covariance and the \(\text{SU}(2)\) Yang-Mills theory. Zbl 1186.81086Faddeev, Ludvig; Niemi, Antti J. 10 2007 What is complete integrability in quantum mechanics. Zbl 1129.81042Faddeev, L. D. 4 2007 Notes on divergences and dimensional transmutation in Yang-Mills theory. Zbl 1177.81105Faddeev, L. D. 5 2006 History and perspectives of quantum groups. Zbl 1117.17004Faddeev, L. D. 5 2006 Algebraic lessons from the theory of quantum integrable models. Zbl 1229.81135Faddeev, L. D. 1 2006 Perturbation theory for gauge-invariant fields (With a preface by D. Gordon and B.W. Lee). Zbl 1088.81075Popov, V. N.; Faddeev, L. D. 5 2005 Mass in quantum Yang-Mills theory (comment on a Clay millennium problem). Zbl 1105.83009Faddeev, L. D. 1 2005 Discretized Virasoro algebra. Zbl 1268.81088Faddeev, Ludwig D. 1 2005 Infrared variables for the \(SU(3)\) Yang-Mills field. Zbl 1178.81178Bolokhov, T. A.; Faddeev, L. D. 4 2004 Shift operator for nonabelian lattice current algebra. Zbl 1069.81038Faddeev, Ludvig; Volkov, Alexander Yu. 4 2004 Aspects of electric and magnetic variables in SU(2) Yang-Mills theory. Zbl 0983.81057Faddeev, Ludvig; Niemi, Antti J. 22 2002 Knotted solitons. Zbl 1027.35108Faddeev, L. D. 14 2002 Strongly coupled quantum discrete Liouville theory. II: Geometric interpretation of the evolution operator. Zbl 1066.81033Faddeev, L. D.; Kashaev, R. M. 6 2002 Mass in quantum Yang-Mills theory (comment on a Clay millenium problem). Zbl 1033.81056Faddeev, L. D. 6 2002 Andrei Aleksandrovich Gonchar (on the occasion of his seventieth birthday). Zbl 1049.01518Bolibrukh, A. A.; Vitushkin, A. G.; Vladimirov, V. S.; Mishchenko, E. F.; Novikov, S. P.; Osipov, Yu. S.; Sergeev, A. G.; Ul’yanov, P. L.; Faddeev, L. D.; Chirka, E. M. 2 2002 Shafranov’s virial theorem and magnetic plasma confinement. Zbl 1031.76061Faddeev, Ludvig; Freyhult, Lisa; Niemi, Antti J.; Rajan, Peter 2 2002 Strongly coupled quantum discrete Liouville theory. I: Algebraic approach and duality. Zbl 0981.81052Faddeev, L. D.; Kashaev, R. M.; Volkov, A. Yu. 59 2001 Knotted solitons and their physical applications. Zbl 1012.81035Faddeev, Ludwig 6 2001 Modular double of a quantum group. Zbl 1071.81533Faddeev, Ludwig 36 2000 Modern mathematical physics: what it should be. Zbl 1074.81500Faddeev, L. D. 3 2000 Mikhail Shlyomovich Birman (on his 70th birthday). Zbl 0958.01026Buslaev, V. S.; Vershik, A. M.; Gel’fand, I. M.; Gindikin, S. G.; Ladyzhenskaya, O. A.; Solomyak, M. Z.; Faddeev, L. D.; Yafaev, D. R. 2 2000 Partially dual variables in \(\text{SU}(2)\) Yang-Mills theory. Zbl 0958.81039Faddeev, Ludvig; Niemi, Antti J. 40 1999 Partial duality in \(\text{SU}(N)\) Yang-Mills theory. Zbl 1058.81587Faddeev, Ludvig; Niemi, Antti J. 18 1999 Decomposing the Yang-Mills field. Zbl 0987.81062Faddeev, Ludvig; Niemi, Antti J. 13 1999 Algebraic quantization of integrable models in discrete space-time. Zbl 0931.35136Faddeev, Ludwig D.; Volkov, Alexandre Yu. 7 1999 Instructive history of the quantum inverse scattering method. Zbl 1036.81516Faddeev, L. 2 1999 Elementary introduction to quantum field theory. Zbl 1137.81349Faddeev, Ludwig 1 1999 How the algebraic Bethe ansatz works for integrable models. Zbl 0934.35170Faddeev, L. D. 166 1998 Representation theory of lattice current algebras. Zbl 0892.17019Alekseev, Anton Y.; Faddeev, Ludwig D.; Fröhlich, Jürg; Schomerus, Volker 4 1998 Quantum integrable models on \(1+1\) discrete space time. Zbl 0948.37059Faddeev, L.; Volkov, A. 1 1997 The differential calculus on quantum linear groups. Zbl 0866.17012Faddeev, L. D.; Pyatov, P. N. 14 1996 Currentlike variables in massive and massless integrable models. Zbl 0862.35115Faddeev, L. 7 1996 \((T^*\mathcal{B})_ q\), \(q\)-analog of model space and the Clebsch-Gordan coefficients generating matrices. Zbl 0873.17018Bytsko, A. G.; Faddeev, L. D. 3 1996 Discrete Heisenberg-Weyl group and modular group. Zbl 0836.47012Faddeev, L. D. 104 1995 Algebraic aspects of the Bethe ansatz. Zbl 1044.82535Faddeev, L. D. 34 1995 Connections of the Liouville model and \(XXZ\) spin chain. Zbl 1003.82505Faddeev, Ludvig D.; Tirkkonen, Olav 13 1995 Generalized Bethe ansatz equations for Hofstadter problem. Zbl 0833.58053Faddeev, L. D.; Kashaev, R. M. 12 1995 40 years in mathematical physics. Zbl 0837.01035Faddeev, L. D. 10 1995 Yang-Baxterization of quantum dilogarithm. Zbl 0899.17003Volkov, A. Yu.; Faddeev, L. D. 6 1995 Yang-Baxterization of quantum dilogarithm. Zbl 0893.17014Volkov, A. Yu.; Faddeev, L. D. 5 1995 Instructive history of the quantum inverse scattering method. Zbl 0833.35120Faddeev, L. 5 1995 Quantum dilogarithm. Zbl 0866.17010Faddeev, L. D.; Kashaev, R. M. 116 1994 Hirota equation as an example of an integrable symplectic map. Zbl 0807.35124Faddeev, L.; Volkov, A. Yu. 30 1994 Quantum symmetry in conformal field theory by Hamiltonian methods. Zbl 0830.58013Faddeev, L. D. 1 1994 Quantum scattering theory for several particle systems. Transl. from the Russian. Zbl 0797.47005Faddeev, L. D.; Merkuriev, S. P. 62 1993 Abelian current algebra and the Virasoro algebra on the lattice. Zbl 0864.17042Faddeev, L. D.; Volkov, A. Yu. 42 1993 From integrable models to conformal field theory via quantum groups. Zbl 0828.58022Faddeev, L. D. 2 1993 Hidden quantum groups inside Kac-Moody algebras. Zbl 0765.17010Alekseev, A.; Faddeev, L.; Semenov-Tian-Shansky, Michael A. 25 1992 Hidden quantum groups inside Kac-Moody algebras. Zbl 0798.17008Alekseev, A.; Faddeev, L.; Semenov-Tian-Shansky, Michael A. 9 1992 Quantum symmetry in conformal field theory by Hamiltonian methods. Zbl 1221.81107Faddeev, L. D. 4 1992 An involution and dynamics for the \(q\)-deformed quantum top. Zbl 0835.17008Alekseev, A. Yu.; Faddeev, L. D. 2 1992 Gauge fields. Introduction to quantum theory. Transl. from the 2nd Russian edition by G. B. Pontecorvo. Zbl 0984.81502Faddeev, L. D.; Slavnov, A. A. 41 1991 \((T^*G)_ t\): a toy model for conformal field theory. Zbl 0767.17024Alekseev, A. Yu.; Faddeev, L. D. 30 1991 Quantization of Lie groups and Lie algebras. Zbl 0715.17015Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D. 261 1990 On the exchange matrix for WZNW model. Zbl 0731.17018Faddeev, L. D. 20 1990 Differential geometry, Lie groups and mechanics. 11. Work collection. Zbl 0708.00011Faddeev, L. D. (ed.) 1 1990 Quantization of Lie groups and Lie algebras. Zbl 0677.17010Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A. 69 1989 Quantum groups. Zbl 0716.17010Faddeev, L.; Reshetikhin, N.; Takhtadzhyan, L. 1 1989 Differential geometry. Lie groups and mechanics. 10. Work collection. Zbl 0673.00016Faddeev, L. D. (ed.) 1 1989 Quantum groups. Zbl 0747.17019Faddeev, L. D. 1 1989 Hamiltonian reduction of unconstrained and constrained systems. Zbl 1129.81328Faddeev, L.; Jackiw, R. 121 1988 Introduction to the quantum theory of gauge fields. 2nd ed., rev. and compl. Zbl 0663.53060Slavnov, A. A.; Faddeev, L. D. 78 1988 Quantization of symplectic orbits of compact Lie groups by means of the functional integral. Zbl 0698.58025Alekseev, A.; Faddeev, L.; Shatashvili, S. 40 1988 Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Zbl 0632.58004Faddeev, L. D.; Takhtadzhyan, L. A. 94 1987 30 years in mathematical physics. Zbl 0632.01018Faddeev, L. D. 2 1987 Mathematical physics and complex analysis. Collection of survey articles. 4. On the occasion of the 50th anniversary of the Institute. (Matematicheskaya fizika i kompleksnyj analiz. Sbornik obzornykh statej 4. K 50-letiyu Instituta). Zbl 0622.00008Faddeev, L. D. (ed.) 1 1987 Hamiltonian methods in the theory of solitons. Zbl 0632.58003Takhtadzhyan, L. A.; Faddeev, L. D. 137 1986 Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation. Zbl 0618.35100Buslaev, V. S.; Faddeev, L. D.; Takhtadzhan, L. A. 11 1986 Poisson structure for the KdV equation. Zbl 0595.35093Faddeev, L. D.; Takhtadzhan, L. A. 9 1985 Quantum scattering theory for systems of several particles. (Kvantovaya teoriya rasseyaniya dlya sistem neskol’kikh chastits). Zbl 0585.35078Merkur’ev, S. P.; Faddeev, L. D. 6 1985 Simple connection between the geometric and the Hamiltonian representations of integrable nonlinear equations. Zbl 0562.35088Takhtadzhyan, L. A.; Faddeev, L. D. 2 1985 Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0532.47009Faddeev, L. D.; Takhtadzhyan, L. A. 56 1984 Quantum anomalies and cocycles on gauge groups. Zbl 0588.58001Reyman, A. G.; Semenov-Tian-Shansky, Michael A.; Faddeev, L. D. 4 1984 Note on the paper by V. I. Denisov and V. O. Solov’ev. Zbl 0541.53025Faddeev, L. D. 1 1983 The energy problem in Einstein’s theory of gravitation (Dedicated to the memory of V. A. Fock). Zbl 0541.53023Faddeev, L. D. 23 1982 A simple connection between geometric and Hamiltonian representations of integrable nonlinear equations. Zbl 0505.35082Takhtadzhyan, L. A.; Faddeev, L. D. 1 1982 The spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0471.47009Takhtadzhyan, L. A.; Faddeev, L. D. 11 1981 Two-dimensional integrable models in quantum field theory. Zbl 1063.81643Faddeev, L. D. 9 1981 Quantum inverse problem method. I. Zbl 1138.37331Sklyanin, E. K.; Takhtadzhyan, L. A.; Faddeev, L. D. 161 1980 Gauge fields: introduction to quantum theory. Transl. from the Russian ed. by D. B. Pontecorvo. Zbl 0486.53052Faddeev, L. D.; Slavnov, A. A. 85 1980 Quantum completely integrable models in field theory. Zbl 0569.35064Faddeev, L. D. 76 1980 ...and 38 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,130 Authors 31 Faddeev, Lyudvig Dmitrievich 31 Kulish, Petr Petrovich 26 Derkachëv, Sergeĭ Èduardovich 26 Doikou, Anastasia 26 Ragoucy, Eric 23 Slavnov, Nikita A. 22 Novikov, Roman G. 19 Bogolyubov, Nikolaĭ Mikhaĭlovich 18 Albeverio, Sergio A. 17 Ablowitz, Mark Jay 17 Bazhanov, Vladimir V. 17 Stepanyantz, K. V. 17 Van der Mee, Cornelis Victor Maria 15 Sakhnovich, Alexander L. 15 Sergeev, Sergeĭ Mikhaĭlovich 13 Alekseev, Anton Yu. 13 Belliard, Samuel 13 Demontis, Francesco 13 Its, Alexander Rudolfovich 13 Kashaev, Rinat M. 13 Mudrov, Andrey I. 13 Prykarpatsky, Anatoliy Karolevych 13 Spiridonov, Vyacheslav Pavlovich 13 Teschl, Gerald 12 Aktosun, Tuncay 12 Kirschner, Roland 12 Kozlowski, Karol Kajetan 12 Majid, Shahn 12 Pakuliak, Stanislav Z. 12 Talalov, Sergeĭ Vladimirovich 11 Crampé, Nicolas 11 Lukyanov, Sergei L. 11 Manojlović, Nenad 11 Prinari, Barbara 11 Takhtajan, Leon Armenovich 10 Avan, Jean 10 Biondini, Gino 10 Duan, Yishi 10 Ip, Ivan Chi-Ho 10 Korepin, Vladimir E. 10 Mariño, Marcos 10 Maslov, Viktor Pavlovich 10 Nepomechie, Rafael I. 10 Niccoli, Giuliano 10 Yafaev, Dimitri R. 10 Yamazaki, Masahito 10 Zabrodin, Anton V. 9 Bytsko, Andrei G. 9 Gerdzhikov, Vladimir Stefanov 9 Gesztesy, Fritz 9 Gurevich, Dmitrii 9 Hikami, Kazuhiro 9 Isozaki, Hiroshi 9 Jing, Naihuan 9 Kirillov, Anatol N. 9 Manashov, Alexander N. 9 Manavella, Edmundo C. 9 Nazarov, Sergeĭ Aleksandrovich 9 Oliveira, Wilson 9 Reshetikhin, Nikolai Yu. 9 Sklyanin, Evgeny K. 9 Torrielli, Alessandro 9 Yakovlev, Sergey L. 8 Abreu, Everton M. C. 8 Babelon, Olivier 8 Chicherin, Dmitry 8 Frassek, Rouven 8 Grinevich, Pëtr Georgievich 8 Jing, Jian 8 Levin, S. B. 8 Maillet, Jean-Michel 8 Mangazeev, Vladimir V. 8 Melnikov, Yuri B. 8 Mendes, Albert C. R. 8 Neves, Clifford 8 Semenov-Tian-Shansky, Michael A. 8 Shatashvili, Samson L. 8 Todorov, Ivan T. 8 Wereszczyński, Andrzej 8 Zeitlin, Anton M. 7 Caudrelier, Vincent 7 Ercolani, Nicholas M. 7 Ferreira, Luiz Agostinho 7 Frappat, Luc 7 Galleas, Wellington 7 Grassi, Alba 7 Hayashi, Takahiro 7 Hryniv, Rostyslav O. 7 Korchemsky, Gregory P. 7 Kundu, Anjan 7 Links, Jon Robert 7 Lipovskij, V. D. 7 Maluf, José W. 7 Morozov, Alexei Yurievich 7 Muminov, Mukhiddin Èshkobilovich 7 Prykarpatsky, Yarema Anatoliyovych 7 Repetto, Carlos E. 7 Rubtsov, Vladimir Nikolaevich 7 Staudacher, Matthias 7 Vakhnenko, Oleksiy O. ...and 3,030 more Authors all top 5 Cited in 271 Serials 252 Theoretical and Mathematical Physics 231 Journal of Mathematical Physics 207 Nuclear Physics. 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