Edit Profile (opens in new tab) Kanatchikov, Igor V. Compute Distance To: Compute Author ID: kanatchikov.igor-v Published as: Kanatchikov, Igor V.; Kanatchikov, I. V.; Kanatchikov, Igor; Kanatchikov, I. Documents Indexed: 23 Publications since 1996 Co-Authors: 1 Co-Author with 2 Joint Publications 17 Co-Co-Authors Co-Authors 21 single-authored 2 Gogberashvili, Merab 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 21 Publications have been cited 174 times in 98 Documents Cited by ▼ Year ▼ Canonical structure of classical field theory in the polymomentum phase space. Zbl 0947.70020Kanatchikov, Igor V. 51 1998 On field theoretic generalizations of a Poisson algebra. Zbl 0905.58008Kanatchikov, Igor V. 20 1997 On the Duffin-Kemmer-Petiau formulation of the covariant Hamiltonian dynamics in field theory. Zbl 0984.81067Kanatchikov, Igor V. 18 2000 Precanonical quantum gravity: Quantization without the space-time decomposition. Zbl 0984.83026Kanatchikov, Igor V. 11 2001 De Donder-Weyl theory and a hypercomplex extension of quantum mechanics to field theory. Zbl 0980.53103Kanatchikov, Igor V. 10 1999 Precanonical quantization and the Schrödinger wave functional. Zbl 0984.81160Kanatchikov, I. V. 7 2001 On quantization of field theories in polymomentum variables. Zbl 0982.81028Kanatchikov, Igor V. 7 1998 Precanonical quantization of Yang-Mills fields and the functional Schrödinger representation. Zbl 1061.81050Kanatchikov, Igor V. 7 2004 Toward the Born-Weyl quantization of fields. Zbl 0947.53044Kanatchikov, Igor V. 5 1998 Ehrenfest theorem in precanonical quantization. Zbl 1316.81085Kanatchikov, Igor V. 5 2015 On a generalization of the Dirac bracket in the De Donder-Weyl Hamiltonian formalism. Zbl 1350.70046Kanatchikov, I. 4 2008 Precanonical quantization and the Schrödinger wave functional revisited. Zbl 1307.81062Kanatchikov, Igor V. 4 2014 Geometric (pre)quantization in the polysymplectic approach to field theory. Zbl 1047.53056Kanatchikov, Igor V. 4 2001 On the precanonical structure of the Schrödinger wave functional. Zbl 1366.81210Kanatchikov, Igor V. 4 2016 On the spectrum of DW Hamiltonian of quantum SU(2) gauge field. Zbl 1373.81361Kanatchikov, Igor V. 3 2017 From the De Donder-Weyl Hamiltonian formalism to quantization of gravity. Zbl 1161.83349Kanatchikov, I. V. 3 1999 Precanonical perspective in quantum gravity. Zbl 1273.83068Kanatchikov, I. V. 3 2000 Schrödinger wave functional in quantum Yang-Mills theory from precanonical quantization. Zbl 1441.81129Kanatchikov, Igor V. 3 2018 Machian origin of the entropic gravity and cosmic acceleration. Zbl 1241.83080Gogberashvili, Merab; Kanatchikov, Igor 2 2012 On precanonical quantization of gravity. Zbl 1311.83018Kanatchikov, I. V. 2 2014 From the Poincaré-Cartan form to a Gerstenhaber algebra of the Poisson brackets in field theory. Zbl 0855.58026Kanatchikov, Igor V. 1 1996 Schrödinger wave functional in quantum Yang-Mills theory from precanonical quantization. Zbl 1441.81129Kanatchikov, Igor V. 3 2018 On the spectrum of DW Hamiltonian of quantum SU(2) gauge field. Zbl 1373.81361Kanatchikov, Igor V. 3 2017 On the precanonical structure of the Schrödinger wave functional. Zbl 1366.81210Kanatchikov, Igor V. 4 2016 Ehrenfest theorem in precanonical quantization. Zbl 1316.81085Kanatchikov, Igor V. 5 2015 Precanonical quantization and the Schrödinger wave functional revisited. Zbl 1307.81062Kanatchikov, Igor V. 4 2014 On precanonical quantization of gravity. Zbl 1311.83018Kanatchikov, I. V. 2 2014 Machian origin of the entropic gravity and cosmic acceleration. Zbl 1241.83080Gogberashvili, Merab; Kanatchikov, Igor 2 2012 On a generalization of the Dirac bracket in the De Donder-Weyl Hamiltonian formalism. Zbl 1350.70046Kanatchikov, I. 4 2008 Precanonical quantization of Yang-Mills fields and the functional Schrödinger representation. Zbl 1061.81050Kanatchikov, Igor V. 7 2004 Precanonical quantum gravity: Quantization without the space-time decomposition. Zbl 0984.83026Kanatchikov, Igor V. 11 2001 Precanonical quantization and the Schrödinger wave functional. Zbl 0984.81160Kanatchikov, I. V. 7 2001 Geometric (pre)quantization in the polysymplectic approach to field theory. Zbl 1047.53056Kanatchikov, Igor V. 4 2001 On the Duffin-Kemmer-Petiau formulation of the covariant Hamiltonian dynamics in field theory. Zbl 0984.81067Kanatchikov, Igor V. 18 2000 Precanonical perspective in quantum gravity. Zbl 1273.83068Kanatchikov, I. V. 3 2000 De Donder-Weyl theory and a hypercomplex extension of quantum mechanics to field theory. Zbl 0980.53103Kanatchikov, Igor V. 10 1999 From the De Donder-Weyl Hamiltonian formalism to quantization of gravity. Zbl 1161.83349Kanatchikov, I. V. 3 1999 Canonical structure of classical field theory in the polymomentum phase space. Zbl 0947.70020Kanatchikov, Igor V. 51 1998 On quantization of field theories in polymomentum variables. Zbl 0982.81028Kanatchikov, Igor V. 7 1998 Toward the Born-Weyl quantization of fields. Zbl 0947.53044Kanatchikov, Igor V. 5 1998 On field theoretic generalizations of a Poisson algebra. Zbl 0905.58008Kanatchikov, Igor V. 20 1997 From the Poincaré-Cartan form to a Gerstenhaber algebra of the Poisson brackets in field theory. Zbl 0855.58026Kanatchikov, Igor V. 1 1996 all cited Publications top 5 cited Publications all top 5 Cited by 114 Authors 12 Román-Roy, Narciso 10 Salgado, Modesto R. 6 Hassanabadi, Hassan 6 Kanatchikov, Igor V. 6 Muñoz-Lecanda, Miguel C. 6 Vilariño, Silvia 5 de León Rodríguez, Manuel 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 Nikolić, Hrvoje 3 Paufler, Cornelius 3 Rajabi, Ali Akbar 3 Rey, Angel M. 3 Römer, Hartmann 3 Stoppato, Matteo 2 Bashkirov, Denis 2 Bucataru, Ioan 2 Esposito, Giampiero 2 Gaset, Jordi 2 Gogberashvili, Merab 2 Gràcia, Xavier 2 Havare, Ali 2 Kisil, Vladimir V. 2 Klusoň, Josef 2 Lunardi, José T. 2 Marrero, Juan Carlos 2 Martín de Diego, David 2 Pimentel, Bruto M. 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 Bimonte, Giuseppe 1 Blacker, Casey 1 Boumali, Abdelmalek 1 Bridges, Thomas J. 1 Bursztyn, Henrique 1 Cabrera, Alejandro 1 Capriotti, Santiago 1 Casana, Rodolfo 1 Castrillón López, Marco 1 Contreras, Iván A. 1 Cremaschini, Claudio 1 del Río, Eslava 1 Fan, Chengyu 1 Fernandes, Marco C. B. 1 Fredenhagen, Klaus 1 Ghominejad, Mehrdad 1 Grigoriev, Maxim 1 Hassanabadi, Somayyeh 1 Hélein, Frédéric 1 Hoffnung, Alexander E. 1 Hong, Jialin 1 Hydon, Peter Ellsworth 1 Iglesias, David 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 Matouš, B. 1 McClain, Tom 1 Mestdag, Tom 1 Molaee, Zahra 1 Munteanu, Florian 1 Neagu, Mircea 1 Norris, Larry K. 1 Oană, Alexandru 1 Palacios-García, César D. 1 Pirashvili, Teimuraz 1 Pol’shin, Semen Aleksandrovich 1 Rahimov, H. 1 Rejzner, Katarzyna 1 Rogers, Christopher Lee 1 Romero, Sandro Vieira 1 Salles, Mário O. 1 Salomone, Leandro M. 1 Santamaría-Merino, Aitor 1 Schulze, Philipp ...and 14 more Authors all top 5 Cited in 35 Serials 16 Journal of Mathematical Physics 12 International Journal of Geometric Methods in Modern Physics 7 General Relativity and Gravitation 6 Reports on Mathematical Physics 6 Journal of Geometry and Physics 4 International Journal of Modern Physics A 4 International Journal of Theoretical Physics 3 Communications in Mathematical Physics 3 Reviews in Mathematical Physics 3 Advances in High Energy Physics 2 Modern Physics Letters A 2 Classical and Quantum Gravity 2 Communications in Algebra 2 Letters in Mathematical Physics 2 International Journal of Modern Physics D 2 Advances in Applied Clifford Algebras 2 The European Physical Journal C. Particles and Fields 2 Journal of Geometric Mechanics 1 Mathematical Proceedings of the Cambridge Philosophical Society 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 Central European Journal of Mathematics 1 Foundations of Physics 1 Symmetry 1 Communications in Mathematics 1 ISRN High Energy Physics all top 5 Cited in 26 Fields 48 Mechanics of particles and systems (70-XX) 37 Quantum theory (81-XX) 32 Differential geometry (53-XX) 20 Relativity and gravitational theory (83-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 Partial differential equations (35-XX) 7 Category theory; homological algebra (18-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-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 Associative rings and algebras (16-XX) 2 Fluid mechanics (76-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 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year