Edit Profile (opens in new tab) Kanatchikov, Igor V. Co-Author Distance Author ID: kanatchikov.igor-v Published as: Kanatchikov, Igor V.; Kanatchikov, I. V.; Kanatchikov, Igor; Kanatchikov, I. more...less Documents Indexed: 32 Publications since 1996, including 9 Additional arXiv Preprints Co-Authors: 4 Co-Authors with 4 Joint Publications 41 Co-Co-Authors Co-Authors 28 single-authored 2 Gogberashvili, Merab 2 Pietrzyk, Monika E. 1 Barbachoux, Cécile 1 Kouneiher, Joseph all top 5 Serials 6 Reports on Mathematical Physics 4 International Journal of Theoretical Physics 2 Advances in Theoretical and Mathematical Physics 2 International Journal of Geometric Methods in Modern Physics 1 Physics Letters. A 1 Nuclear Physics. B. Proceedings Supplements 1 Journal of Geometry and Symmetry in Physics 1 Nonlinear Phenomena in Complex Systems (Minsk) all top 5 Fields 17 Quantum theory (81-XX) 7 Mechanics of particles and systems (70-XX) 7 Relativity and gravitational theory (83-XX) 6 Differential geometry (53-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Partial differential equations (35-XX) 2 Astronomy and astrophysics (85-XX) 1 Number theory (11-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 212 times in 112 Documents Cited by ▼ Year ▼ Canonical structure of classical field theory in the polymomentum phase space. Zbl 0947.70020 Kanatchikov, Igor V. 61 1998 On field theoretic generalizations of a Poisson algebra. Zbl 0905.58008 Kanatchikov, Igor V. 20 1997 On the Duffin-Kemmer-Petiau formulation of the covariant Hamiltonian dynamics in field theory. Zbl 0984.81067 Kanatchikov, Igor V. 18 2000 Precanonical quantum gravity: Quantization without the space-time decomposition. Zbl 0984.83026 Kanatchikov, Igor V. 14 2001 De Donder-Weyl theory and a hypercomplex extension of quantum mechanics to field theory. Zbl 0980.53103 Kanatchikov, Igor V. 11 1999 Precanonical quantization and the Schrödinger wave functional. Zbl 0984.81160 Kanatchikov, I. V. 11 2001 On quantization of field theories in polymomentum variables. Zbl 0982.81028 Kanatchikov, Igor V. 9 1998 On a generalization of the Dirac bracket in the De Donder-Weyl Hamiltonian formalism. Zbl 1350.70046 Kanatchikov, I. 9 2008 Precanonical quantization of Yang-Mills fields and the functional Schrödinger representation. Zbl 1061.81050 Kanatchikov, Igor V. 8 2004 On the precanonical structure of the Schrödinger wave functional. Zbl 1366.81210 Kanatchikov, Igor V. 6 2016 Ehrenfest theorem in precanonical quantization. Zbl 1316.81085 Kanatchikov, Igor V. 6 2015 Toward the Born-Weyl quantization of fields. Zbl 0947.53044 Kanatchikov, Igor V. 5 1998 Machian origin of the entropic gravity and cosmic acceleration. Zbl 1241.83080 Gogberashvili, Merab; Kanatchikov, Igor 5 2012 Precanonical quantization and the Schrödinger wave functional revisited. Zbl 1307.81062 Kanatchikov, Igor V. 5 2014 Geometric (pre)quantization in the polysymplectic approach to field theory. Zbl 1047.53056 Kanatchikov, Igor V. 5 2001 Schrödinger wave functional in quantum Yang-Mills theory from precanonical quantization. Zbl 1441.81129 Kanatchikov, Igor V. 4 2018 From the De Donder-Weyl Hamiltonian formalism to quantization of gravity. Zbl 1161.83349 Kanatchikov, I. V. 3 1999 On the spectrum of DW Hamiltonian of quantum SU(2) gauge field. Zbl 1373.81361 Kanatchikov, Igor V. 3 2017 Cosmological parameters from the thermodynamic model of gravity. Zbl 1305.83023 Gogberashvili, Merab; Kanatchikov, Igor 3 2014 Precanonical perspective in quantum gravity. Zbl 1273.83068 Kanatchikov, I. V. 3 2000 On precanonical quantization of gravity. Zbl 1311.83018 Kanatchikov, I. V. 2 2014 From the Poincaré-Cartan form to a Gerstenhaber algebra of the Poisson brackets in field theory. Zbl 0855.58026 Kanatchikov, Igor V. 1 1996 Schrödinger wave functional in quantum Yang-Mills theory from precanonical quantization. Zbl 1441.81129 Kanatchikov, Igor V. 4 2018 On the spectrum of DW Hamiltonian of quantum SU(2) gauge field. Zbl 1373.81361 Kanatchikov, Igor V. 3 2017 On the precanonical structure of the Schrödinger wave functional. Zbl 1366.81210 Kanatchikov, Igor V. 6 2016 Ehrenfest theorem in precanonical quantization. Zbl 1316.81085 Kanatchikov, Igor V. 6 2015 Precanonical quantization and the Schrödinger wave functional revisited. Zbl 1307.81062 Kanatchikov, Igor V. 5 2014 Cosmological parameters from the thermodynamic model of gravity. Zbl 1305.83023 Gogberashvili, Merab; Kanatchikov, Igor 3 2014 On precanonical quantization of gravity. Zbl 1311.83018 Kanatchikov, I. V. 2 2014 Machian origin of the entropic gravity and cosmic acceleration. Zbl 1241.83080 Gogberashvili, Merab; Kanatchikov, Igor 5 2012 On a generalization of the Dirac bracket in the De Donder-Weyl Hamiltonian formalism. Zbl 1350.70046 Kanatchikov, I. 9 2008 Precanonical quantization of Yang-Mills fields and the functional Schrödinger representation. Zbl 1061.81050 Kanatchikov, Igor V. 8 2004 Precanonical quantum gravity: Quantization without the space-time decomposition. Zbl 0984.83026 Kanatchikov, Igor V. 14 2001 Precanonical quantization and the Schrödinger wave functional. Zbl 0984.81160 Kanatchikov, I. V. 11 2001 Geometric (pre)quantization in the polysymplectic approach to field theory. Zbl 1047.53056 Kanatchikov, Igor V. 5 2001 On the Duffin-Kemmer-Petiau formulation of the covariant Hamiltonian dynamics in field theory. Zbl 0984.81067 Kanatchikov, Igor V. 18 2000 Precanonical perspective in quantum gravity. Zbl 1273.83068 Kanatchikov, I. V. 3 2000 De Donder-Weyl theory and a hypercomplex extension of quantum mechanics to field theory. Zbl 0980.53103 Kanatchikov, Igor V. 11 1999 From the De Donder-Weyl Hamiltonian formalism to quantization of gravity. Zbl 1161.83349 Kanatchikov, I. V. 3 1999 Canonical structure of classical field theory in the polymomentum phase space. Zbl 0947.70020 Kanatchikov, Igor V. 61 1998 On quantization of field theories in polymomentum variables. Zbl 0982.81028 Kanatchikov, Igor V. 9 1998 Toward the Born-Weyl quantization of fields. Zbl 0947.53044 Kanatchikov, Igor V. 5 1998 On field theoretic generalizations of a Poisson algebra. Zbl 0905.58008 Kanatchikov, Igor V. 20 1997 From the Poincaré-Cartan form to a Gerstenhaber algebra of the Poisson brackets in field theory. Zbl 0855.58026 Kanatchikov, Igor V. 1 1996 all cited Publications top 5 cited Publications all top 5 Cited by 130 Authors 14 Román-Roy, Narciso 10 Salgado, Modesto R. 7 Muñoz-Lecanda, Miguel C. 7 Vilariño, Silvia 6 de León Rodríguez, Manuel 6 Hassanabadi, Hassan 6 Kanatchikov, Igor V. 5 Gogberashvili, Merab 4 Berra-Montiel, Jasel 4 Casas Miras, José Manuel 4 Forger, Michael 4 Molgado, Alberto 4 Zarrinkamar, Saber 3 Bua, Lucía 3 Caudrelier, Vincent 3 Datuashvili, Tamar 3 de Montigny, Marc 3 Echeverría-Enríquez, Arturo 3 Gaset, Jordi 3 Klusoň, Josef 3 Mestdag, Tom 3 Nikolić, Hrvoje 3 Paufler, Cornelius 3 Rajabi, Ali Akbar 3 Rey, Angel M. 3 Römer, Hartmann 3 Stoppato, Matteo 2 Bashkirov, Denis 2 Blacker, Casey 2 Bucataru, Joan 2 Capriotti, Santiago 2 Castrillón López, Marco 2 Esposito, Giampiero 2 García-Toraño Andrés, Eduardo 2 Gràcia, Xavier 2 Grigoriev, Maxim 2 Havare, Ali 2 Kisil, Vladimir V. 2 Lunardi, José T. 2 Marrero, Juan Carlos 2 Martín de Diego, David 2 Matouš, B. 2 Pimentel, Bruto M. 2 Rivas, Xavier 2 Rodríguez-López, Ángel 2 Salti, Mustafa 2 Schlacher, Kurt 2 Schöberl, Markus 2 Stornaiolo, Cosimo 2 Teixeira, R. G. 2 Zare, Soroush 1 Alkalaev, Konstantin 1 Altmann, Robert 1 Aydogdu, Oktay 1 Baez, John C. 1 Berbel, Miguel Ángel 1 Bimonte, Giuseppe 1 Boumali, Abdelmalek 1 Bridges, Thomas J. 1 Bursztyn, Henrique 1 Cabrera, Alejandro 1 Casana, Rodolfo 1 Castro Perelman, Carlos 1 Chataignier, Leonardo 1 Contreras, Iván A. 1 Cremaschini, Claudio 1 de Lucas, Javier 1 del Río, Eslava 1 Díaz, Viviana Alejandra 1 Fan, Chengyu 1 Fernandes, Marco C. B. 1 Fredenhagen, Klaus 1 Ghominejad, Mehrdad 1 Gomis, Joaquim 1 Guerra, Arnoldo IV 1 Hassanabadi, Somayyeh 1 Hélein, Frédéric 1 Hoffnung, Alexander E. 1 Hong, Jialin 1 Hydon, Peter Ellsworth 1 Iglesias, David 1 Kiefer, Claus 1 Korunur, Murat 1 Ladra González, Manuel 1 Lawson, Jeffrey K. 1 Mann, Stephen 1 Marín-Solano, Jesús 1 Markl, Martin 1 Marmo, Giuseppe 1 Marsden, Jerrold Eldon 1 Martín, Rubén 1 Martinez Alba, Nicolas 1 Martinez, Nicolas 1 McClain, Tom 1 Modrekiladze, Beka 1 Molaee, Zahra 1 Moniz, Paulo Rodrigues Lima Vargas 1 Munteanu, Florian 1 Neagu, Mircea 1 Norris, Larry K. ...and 30 more Authors all top 5 Cited in 38 Serials 16 Journal of Mathematical Physics 13 International Journal of Geometric Methods in Modern Physics 8 General Relativity and Gravitation 8 Journal of Geometry and Physics 6 Reports on Mathematical Physics 5 International Journal of Theoretical Physics 4 International Journal of Modern Physics A 4 Classical and Quantum Gravity 4 Journal of Physics A: Mathematical and Theoretical 3 Communications in Mathematical Physics 3 Reviews in Mathematical Physics 3 Advances in High Energy Physics 2 Modern Physics Letters A 2 Communications in Algebra 2 Letters in Mathematical Physics 2 International Journal of Modern Physics D 2 Advances in Applied Clifford Algebras 2 Foundations of Physics 2 The European Physical Journal C. Particles and Fields 2 Journal of Geometric Mechanics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Physics Letters. B 1 Theoretical and Mathematical Physics 1 Chaos, Solitons and Fractals 1 Automatica 1 Manuscripta Mathematica 1 Numerische Mathematik 1 Systems & Control Letters 1 Journal of Mathematical Sciences (New York) 1 Mathematical Physics, Analysis and Geometry 1 Mathematical and Computer Modelling of Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of High Energy Physics 1 Central European Journal of Mathematics 1 Symmetry 1 Communications in Mathematics 1 ISRN High Energy Physics all top 5 Cited in 31 Fields 55 Mechanics of particles and systems (70-XX) 42 Quantum theory (81-XX) 36 Differential geometry (53-XX) 26 Relativity and gravitational theory (83-XX) 16 Dynamical systems and ergodic theory (37-XX) 14 Global analysis, analysis on manifolds (58-XX) 10 Partial differential equations (35-XX) 7 Category theory; homological algebra (18-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Nonassociative rings and algebras (17-XX) 3 Associative rings and algebras (16-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Algebraic topology (55-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year