Edit Profile (opens in new tab) Shchepetilov, Alexey V. Co-Author Distance Author ID: shchepetilov.alexey-v Published as: Shchepetilov, A. V.; Shchepetilov, Alexey V. Documents Indexed: 20 Publications since 1990, including 1 Book Co-Authors: 6 Co-Authors with 3 Joint Publications 108 Co-Co-Authors all top 5 Co-Authors 17 single-authored 3 Stepanova, I. È. 1 Batov, A. V. 1 Gudkova, T. V. 1 Kolotov, I. I. 1 Luk’yanenko, Dmitriĭ Vital’evich 1 Yagola, Anatoliĭ Grigor’evich all top 5 Serials 5 Journal of Physics A: Mathematical and General 4 Theoretical and Mathematical Physics 2 Reports on Mathematical Physics 1 Journal of Mathematical Physics 1 Moscow University Physics Bulletin 1 Journal of Geometry and Physics 1 Differential Equations 1 Computational Mathematics and Mathematical Physics 1 Fundamental’naya i Prikladnaya Matematika 1 Inverse Problems in Science and Engineering 1 Lecture Notes in Physics all top 5 Fields 12 Mechanics of particles and systems (70-XX) 9 Quantum theory (81-XX) 6 Partial differential equations (35-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 12 Publications have been cited 83 times in 55 Documents Cited by ▼ Year ▼ Nonintegrability of the two-body problem in constant curvature spaces. Zbl 1122.70009Shchepetilov, Alexey V. 24 2006 Reduction of the two-body problem with central interaction on simply connected spaces of constant sectional curvature. Zbl 0910.70010Shchepetilov, A. V. 14 1998 Calculus and mechanics on two-point homogeneous Riemannian spaces. Zbl 1115.53017Shchepetilov, Alexey V. 10 2006 Comment on “Central potentials on spaces of constant curvature: the Kepler problem on the two-dimensional sphere \(S^{2}\) and the hyperbolic plane \(H^{2}\)” [J. Math. Phys. 46, 052702 (2005)]. Zbl 1111.70007Shchepetilov, A. V. 10 2005 Two-body problem on spaces of constant curvature. I: Dependence of the Hamiltonian on the symmetry group and the reduction of the classical system. Zbl 1112.37312Shchepetilov, A. V. 6 2000 The geometric sense of the Sasaki connection. Zbl 1048.81032Shchepetilov, Alexey V. 5 2003 Two-body problem on spaces of constant curvature. II: Spectral properties of the Hamiltonian. Zbl 1115.37333Stepanova, I. È.; Shchepetilov, A. V. 5 2000 Quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces. Zbl 0966.81013Shchepetilov, A. V. 3 1999 Some quantum mechanical problems in Lobachevsky space. Zbl 0942.81005Shchepetilov, A. V. 3 1996 Two-body problem on two-point homogeneous spaces, invariant differential operators and the mass center concept. Zbl 1056.70005Shchepetilov, A. V. 1 2003 Classical and quantum mechanical two body problem with central interaction on simply connected spaces of constant sectional curvature. Zbl 0964.81024Shchepetilov, A. V. 1 1999 The two-body quantum mechanical problem on spheres. Zbl 1092.81019Shchepetilov, Alexey V. 1 2006 Nonintegrability of the two-body problem in constant curvature spaces. Zbl 1122.70009Shchepetilov, Alexey V. 24 2006 Calculus and mechanics on two-point homogeneous Riemannian spaces. Zbl 1115.53017Shchepetilov, Alexey V. 10 2006 The two-body quantum mechanical problem on spheres. Zbl 1092.81019Shchepetilov, Alexey V. 1 2006 Comment on “Central potentials on spaces of constant curvature: the Kepler problem on the two-dimensional sphere \(S^{2}\) and the hyperbolic plane \(H^{2}\)” [J. Math. Phys. 46, 052702 (2005)]. Zbl 1111.70007Shchepetilov, A. V. 10 2005 The geometric sense of the Sasaki connection. Zbl 1048.81032Shchepetilov, Alexey V. 5 2003 Two-body problem on two-point homogeneous spaces, invariant differential operators and the mass center concept. Zbl 1056.70005Shchepetilov, A. V. 1 2003 Two-body problem on spaces of constant curvature. I: Dependence of the Hamiltonian on the symmetry group and the reduction of the classical system. Zbl 1112.37312Shchepetilov, A. V. 6 2000 Two-body problem on spaces of constant curvature. II: Spectral properties of the Hamiltonian. Zbl 1115.37333Stepanova, I. È.; Shchepetilov, A. V. 5 2000 Quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces. Zbl 0966.81013Shchepetilov, A. V. 3 1999 Classical and quantum mechanical two body problem with central interaction on simply connected spaces of constant sectional curvature. Zbl 0964.81024Shchepetilov, A. V. 1 1999 Reduction of the two-body problem with central interaction on simply connected spaces of constant sectional curvature. Zbl 0910.70010Shchepetilov, A. V. 14 1998 Some quantum mechanical problems in Lobachevsky space. Zbl 0942.81005Shchepetilov, A. V. 3 1996 all cited Publications top 5 cited Publications all top 5 Cited by 83 Authors 10 Diacu, Florin Nicolae 9 Pérez-Chavela, Ernesto 4 Shchepetilov, Alexey V. 3 Borisov, Alekseĭ Vladimirovich 3 Mamaev, Ivan Sergeevich 3 Stoica, Cristina 3 Zhu, Shuqiang 2 Alhowaity, Sawsan 2 García-Naranjo, Luis C. 2 Gonera, Cezary 2 Sławianowski, Jan Jerzy 1 Agop, Maricel 1 Andrade, Jaime 1 Arathoon, Philip 1 Arsie, Alessandro 1 Balabanova, Nataliya A. 1 Ballesteros, Angel 1 Barrow, John D. 1 Bengochea, Abimael 1 Bizyaev, Ivan Alekseevich 1 Bo, Xiaomeng 1 Boatto, Stefanella 1 Boulter, Eric 1 Burov, Aleksandr Anatol’evich 1 Callebaut, Dirk K. 1 Combot, Thierry 1 de Lucas, Javier 1 Duarte, Gladston 1 El-Nabulsi, Rami Ahmad 1 Enciso, Alberto 1 Franchetti, Guido 1 Franco-Pérez, Luis 1 Fujiwara, Toshiaki 1 Gamkrelidze, Revaz Valerianovich 1 García-Azpeitia, Carlos 1 Gharib, Gharib M. 1 Gibbons, Gary William 1 Gołubowska, Barbara 1 Gonera, Joanna 1 Harmon, Nicholas J. 1 Herranz, Francisco José 1 Hinterding, Robert 1 Jackman, Connor 1 Kaszubska, Magdalena 1 Khater, Ahmed H. 1 Kordlou, Shima 1 Kotowski, Romuald K. 1 Latini, Danilo 1 Lindner, John F. 1 Liu, Qihuai 1 Liu, Wenye 1 Marrero, Juan Carlos 1 Martínez, Regina 1 Mazilu, Nicolae 1 Montaldi, James A. 1 Montanelli, Hadrien 1 Montgomery, Richard 1 Nowak, Adam 1 Olaksen, Katherine D. 1 Popa, Sergiu 1 Ragnisco, Orlando 1 Reyes-Victoria, J. Guadalupe 1 Reyes, Enrique G. 1 Robaszewska, Maria 1 Rodríguez-Olmos, Miguel 1 Roldán, Pablo 1 Roseberry, Martha I. 1 Ross, Calum 1 Sánchez-Cerritos, Juan Manuel 1 Santoprete, Manuele 1 Sayed, S. M. 1 Schmah, Tanya 1 Shai, Daniel E. 1 Shanbrom, Corey 1 Simó, Carles 1 Sjogren, Peter 1 Stepanova, I. È. 1 Stuchi, Teresinha J. 1 Szarek, Tomasz Zachary 1 Szczesek, Wioletta 1 Vozmishcheva, Tatiana G. 1 Warnick, Claude M. 1 Zawora, Bartosz M. all top 5 Cited in 36 Serials 7 Regular and Chaotic Dynamics 4 Journal of Mathematical Physics 4 Journal of Geometry and Physics 4 Journal of Differential Equations 3 Theoretical and Mathematical Physics 2 Journal of Mathematical Sciences (New York) 1 Modern Physics Letters A 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 The Mathematical Intelligencer 1 Prikladnaya Matematika i Mekhanika 1 Canadian Mathematical Bulletin 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Physica D 1 Annals of Physics 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 International Journal of Modern Physics D 1 Computational and Applied Mathematics 1 Miscelánea Matemática 1 Communications on Pure and Applied Analysis 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Differential Equations 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SN Partial Differential Equations and Applications all top 5 Cited in 22 Fields 42 Mechanics of particles and systems (70-XX) 19 Dynamical systems and ergodic theory (37-XX) 9 Differential geometry (53-XX) 6 Quantum theory (81-XX) 5 Ordinary differential equations (34-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Partial differential equations (35-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year