Edit Profile (opens in new tab) Karasev, Mikhail Vladimirovich Co-Author Distance Author ID: karasev.mikhail-vladimirovich Published as: Karasev, M. V.; Karasev, Mikhail; Karasev, M.; Karasev, Mikhail V.; Karasev, Michael; Karasëv, M. V.; Karasev, Mikhail Vladimirovich more...less Documents Indexed: 122 Publications since 1971, including 2 Books and 2 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 32 Co-Authors with 70 Joint Publications 1,134 Co-Co-Authors all top 5 Co-Authors 54 single-authored 15 Maslov, Viktor Pavlovich 15 Novikova, E. M. 11 Vorob’ev, Yu. M. 9 Pereskokov, A. V. 5 Vybornyi, E. V. 3 Osborn, T. A. 2 Grigor’ev, O. N. 2 Kozlov, Mikhail 2 Mosolova, M. V. 2 Nazaikinskii, Vladimir E. 2 Novikova, Elena 1 Agranovich, Mikhail Semënovich 1 Aĭzenberg, Lev Abramovich 1 Alfimov, Georgiĭ Leonidovich 1 Blagodyreva, O. 1 Bykov, Dmitri V. 1 Chernous’ko, Feliks Leonidovich 1 Comech, Andrew 1 Dobrokhotov, Sergei Yurievich 1 Gataullin, T. M. 1 Itskov, Vladimir 1 Karabegov, Alexander V. 1 Logunov, Anatoliĭ Alekseevich 1 Osipov, Yuriĭ Sergeevich 1 Pukhnachov, Vladislav Vasil’evich 1 Sadovnichiĭ, Viktor Antonovich 1 Shubin, Mikhail Aleksandrovich 1 Tamarkin, Dmitry E. 1 Tarkhanov, Nikolai N. 1 Tsygan, B. L. 1 Vishik, Marko Iosifovich 1 Voronov, Theodore all top 5 Serials 24 Russian Journal of Mathematical Physics 13 Mathematical Notes 11 Theoretical and Mathematical Physics 8 Functional Analysis and its Applications 5 Soviet Mathematics. Doklady 4 Russian Mathematical Surveys 4 Teoreticheskaya i Matematicheskaya Fizika 3 Matematicheskie Zametki 3 Journal of Soviet Mathematics 3 Izvestiya: Mathematics 3 Translations. Series 2. American Mathematical Society 2 Journal of Mathematical Physics 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Mathematics of the USSR. Izvestiya 2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Journal of Physics A: Mathematical and General 2 Journal of Mathematical Sciences (New York) 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Letters in Mathematical Physics 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Advances in Mathematics 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Transactions of the Moscow Mathematical Society 1 Selecta Mathematica Sovietica 1 Asymptotic Analysis 1 Differential Geometry and its Applications 1 Mathematics of the USSR, Sbornik 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Advanced Studies in Contemporary Mathematics (Kyungshang) 1 Translations of Mathematical Monographs all top 5 Fields 70 Quantum theory (81-XX) 45 Differential geometry (53-XX) 26 Dynamical systems and ergodic theory (37-XX) 24 Global analysis, analysis on manifolds (58-XX) 20 Partial differential equations (35-XX) 17 Operator theory (47-XX) 9 Functional analysis (46-XX) 9 Optics, electromagnetic theory (78-XX) 7 Nonassociative rings and algebras (17-XX) 6 Topological groups, Lie groups (22-XX) 6 Ordinary differential equations (34-XX) 4 Algebraic geometry (14-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 771 times in 419 Documents Cited by ▼ Year ▼ Poisson manifolds and the Schouten bracket. Zbl 0667.58018 Vorob’ev, Yu. M.; Karasev, M. V. 75 1988 Nonlinear Poisson brackets. Geometry and quantization. (Nelinejnye skobki Puassona. Geometriya i kvantovanie.) Zbl 0731.58002 Karasev, M. V.; Maslov, V. P. 72 1991 Analogues of the objects of Lie group theory for nonlinear Poisson brackets. Zbl 0624.58007 Karasev, M. V. 46 1987 Asymptotic and geometric quantization. Zbl 0588.58031 Karasëv, M. V.; Maslov, V. P. 34 1984 Analogues of objects of the theory of Lie groups for nonlinear Poisson brackets. Zbl 0608.58023 Karasev, M. V. 29 1986 Nonlinear Poisson brackets. Geometry and quantization. Translated from the Russian by A. Sossinsky and M. Shishkova. Transl. edited by Simeon Ivanov. Zbl 0776.58003 Karasev, Mikhail Vladimirovich; Maslov, V. P. 25 1993 Algebras with general commutation relations and their applications. II. Unitary-nonlinear operator equations. Zbl 0482.58029 Karasev, M. V.; Maslov, V. P. 24 1979 Non-Lie permutation relations, coherent states, and quantum embedding. Zbl 1036.81019 Karasev, Mikhail; Novikova, Elena 24 1998 New global asymptotics and anomalies for the problem of quantization of the adiabatic invariant. Zbl 0715.58036 Karasev, M. V. 22 1990 Symplectic areas, quantization, and dynamics in electromagnetic fields. Zbl 1059.81097 Karasev, M. V.; Osborn, T. A. 18 2002 Representation of exact and semiclassical eigenfunctions via coherent states. The hydrogen atom in a magnetic field. Zbl 1041.81540 Karasev, M. V.; Novikova, E. M. 17 1996 Algebras with polynomial commutation relations for a quantum particle in electric and magnetic fields. Zbl 1151.81330 Karasev, Mikhail; Novikova, Elena 12 2005 Magneto-metric Hamiltonians on quantum surfaces in the configuration space. Zbl 1115.81062 Karasev, M. V. 11 2007 Quantum magnetic algebra and magnetic curvature. Zbl 1050.81039 Karasev, M. V.; Osborn, T. A. 11 2004 Algebra and quantum geometry of multifrequency resonance. Zbl 1211.81080 Karasev, M. V.; Novikova, E. M. 10 2010 Noncommutative algebras, nano-structures, and quantum dynamics generated by resonances. II. Zbl 1091.46046 Karasev, Mikhail 10 2005 Secondary resonances in Penning traps. Non-Lie symmetry algebras and quantum states. Zbl 1292.81043 Karasev, M. V.; Novikova, E. M. 10 2013 Poisson symmetry algebras and the asymptotics of spectral series. Zbl 0629.58017 Karasev, M. V. 9 1986 Noncommutative algebras, nano-structures, and quantum dynamics generated by resonances. III. Zbl 1129.46064 Karasev, M. 9 2006 Quantization and coherent states over Lagrangian submanifolds. Zbl 0912.58016 Karasev, Mikhail V. 9 1995 Algebra with polynomial commutation relations for the Zeeman-Stark effect in the hydrogen atom. Zbl 1178.81297 Karasev, M. V.; Novikova, E. M. 9 2005 Infinitesimal Poisson cohomology. Zbl 0922.58028 Itskov, Vladimir; Karasev, Mikhail; Vorobjev, Yurii 9 1998 The Maslov quantization conditions in higher cohomology and analogs of notions developed in Lie theory for canonical fibre bundles of symplectic manifolds. I, II. Zbl 0704.58019 Karasev, M. V. 9 1989 Noncommutative algebras, nanostructures, and quantum dynamics generated by resonances. Zbl 1139.81358 Karasev, Mikhail 8 2005 Algebra with quadratic commutation relations for an axially perturbed Coulomb-Dirac field. Zbl 1178.81133 Karasev, M. V.; Novikova, E. M. 8 2004 Quantum surfaces, special functions, and the tunneling effect. Zbl 0996.53058 Karasev, Mikhail V. 8 2001 Weyl and ordered calculus of noncommuting operators. Zbl 0466.47013 Karasev, M. V. 8 1979 Connections on Lagrangian submanifolds and some quasiclassical approximation problems. Zbl 0780.58051 Karasev, M. V. 8 1989 Asymptotic solutions of Hartree equations concentrated near low-dimensional submanifolds. II: Localization in planar discs. Zbl 1020.81017 Karasev, M. V.; Pereskokov, A. V. 8 2001 Cotangent bundle quantization: entangling of metric and magnetic field. Zbl 1081.81068 Karasev, M. V.; Osborn, T. A. 7 2005 Quasimodes generated by characters of a dynamical group, and deformation of the Kirillov form. Zbl 0797.58030 Vorob’ev, Yu. M.; Karasëv, M. V. 7 1992 On the quantization of rapidly oscillating symbols. Zbl 0417.47025 Karasev, M. V.; Nazaĭkinskiĭ, V. E. 7 1978 Asymptotic solutions of Hartree equations concentrated near low-dimensional submanifolds. I: The model with logarithmic singularity. Zbl 1019.81018 Karasev, M. V.; Pereskokov, A. V. 7 2001 Flat Poisson manifolds and finite-dimensional pseudogroups. Zbl 0686.58043 Karasev, M. V. 6 1989 Coherent transform of the spectral problem and algebras with nonlinear commutation relations. Zbl 1040.81528 Karasev, M.; Novikova, E. 6 1999 Algebra with polynomial commutation relations for the Zeeman effect in the Coulomb-Dirac field. Zbl 1178.81132 Karasev, M. V.; Novikova, E. M. 6 2005 Connections on Lagrangian submanifolds and some problems of quasi- classical approximation. I. Zbl 0741.58056 Karasev, M. V. 6 1989 Global asymptotic operators of the regular representation. Zbl 0476.58025 Karasev, M. V.; Maslov, V. P. 5 1981 Pseudo-differential operators and a canonical operator in general symplectic manifolds. Zbl 0538.58035 Karasev, M. V.; Maslov, V. P. 5 1983 Expansion of functions of noncommuting operators. Zbl 0312.47009 Karasev, M. V. 5 1974 On the quantization of rapidly oscillating symbols. Zbl 0391.47036 Karasev, M. V.; Nazaikinskii, V. E. 5 1978 Quantum and semiclassical representations over Lagrangian submanifolds in \(su(2)^*\), \(so(4)^*\), and \(su(1,1)^*\). Zbl 0788.58025 Karasev, Mikhail; Kozlov, Mikhail 5 1993 Cubic algebra and averaged Hamiltonian for the resonance \(3: ( - 1)\) Penning-Ioffe trap. Zbl 1264.81170 Blagodyreva, O.; Karasev, M.; Novikova, E. 5 2012 Lagrangian rings. Multiscale asymptotics of a spectrum near resonance. Zbl 0684.58034 Karasev, M. V. 4 1987 Internal geometric current, and the Maxwell equation as a Hamiltonian system on configuration surfaces. Zbl 1128.35101 Karasev, M. V. 4 2007 Integrals over membranes, transition amplitudes, and quantization. Zbl 0909.58015 Karasev, Mikhail V. 4 1993 Integral representations over isotropic submanifolds and equations of zero curvature. Zbl 0926.53030 Karasev, Mikhail; Vorobjev, Yuri 4 1998 Adapted connections, Hamilton dynamics, geometric phases, and quantization over isotropic submanifolds. Zbl 0923.58022 Karasev, Mikhail; Vorobjev, Yurii 4 1998 Calculus of ordered operators on a factor algebra. Zbl 0309.47027 Karasev, M. V. 4 1974 Non-Lie permutation relations. Zbl 0727.16025 Karasev, M. V.; Maslov, V. P. 4 1990 The asymptotic spectrum and oscillation front for operators with nonlinear commutation relations. Zbl 0427.47019 Karasev, M. V. 4 1978 Planar Penning trap with combined resonance and top dynamics on quadratic algebra. Zbl 1341.78012 Karasev, M. V.; Novikova, E. M. 4 2015 Adiabatic approximation via hodograph translation and zero-curvature equations. Zbl 1311.81157 Karasev, M. V. 4 2014 Non-Lie top tunneling and quantum bilocalization in planar Penning trap. Zbl 1383.78017 Karasev, M. V.; Novikova, E. M.; Vybornyi, E. V. 4 2016 Adiabatics using phase space translations and small parameter “dynamics”. Zbl 1327.81217 Karasev, M. 4 2015 Pseudodifferential operators and a canonical operator in general symplectic manifolds. Zbl 0554.58048 Karasev, M. V.; Maslov, V. P. 3 1984 Representation of the evolution operator via membrane amplitudes. Zbl 0945.58012 Karasev, M. V. 3 1996 Quantization by means of two-dimensional surfaces (membranes): Geometrical formulas for wave-functions. Zbl 0820.58025 Karasev, Mikhail 3 1994 Quadratic Poisson brackets in the Zeeman effect. Irreducible representations and coherent states. Zbl 0846.58026 Karasev, M. V.; Novikova, E. M. 3 1994 Bi-states and 2-level systems in rectangular Penning traps. Zbl 1387.81161 Karasev, Mikhail; Novikova, E.; Vybornyi, E. 3 2017 Geometric dynamics on quantum nano-surfaces and low-energy spectrum in a homogeneous magnetic field. Zbl 1176.81053 Karasev, M. V. 3 2007 Simple quantization formula. Zbl 0767.58017 Karasev, M. V. 3 1991 Infinite products and T products of exponentials. Zbl 0413.47028 Karasev, M. V.; Mosolova, M. V. 3 1977 Asymptotic methods for wave and quantum problems. Zbl 1009.00012 3 2003 Inserted perturbations generating asymptotical integrability. Zbl 1317.81288 Karasev, M. V.; Novikova, E. M. 3 2014 Algebra of symmetries of three-frequency resonance: reduction of a reducible case to an irreducible case. Zbl 1410.81021 Karasev, M. V.; Novikova, E. M. 3 2018 On Poisson manifolds and Schouten bracket. Zbl 0644.58002 Vorob’ev, Yu. M.; Karasev, M. V. 2 1988 Corrections to classical dynamics and quantization conditions arising in the deformation of Poisson brackets. Zbl 0676.58026 Vorob’ev, Yu. M.; Karasev, M. V. 2 1988 Resonance gyrons and quantum geometry. Zbl 1122.81055 Karasev, Mikhail 2 2007 Quantization of symplectic manifolds with conical points. Zbl 0515.53032 Karasev, M. V.; Maslov, V. P. 2 1982 Graphene as a quantum surface with curvature-strain preserving dynamics. Zbl 1252.82133 Karasev, M. V. 2 2011 Formulas for noncommutative products of functions in terms of membranes and strings. I. Zbl 0904.58023 Karasev, Mikhail 2 1994 Asymptotics of the eigenvalues of operators with a Poisson algebra of symmetries in the highest symbol. Zbl 0565.58038 Karasev, M. V. 2 1984 Advances in quantization: quantum tensors, explicit star-products, and restriction to irreducible leaves. Zbl 0951.53059 Karasev, Mikhail 2 1998 Quantum geometry and quantum mechanics of integrable systems. Zbl 1175.81134 Karasev, M. V. 2 2009 On connection formulas for the second Painlevé transcendent. Proof of the Miles conjecture, and a quantization rule. Zbl 0815.34046 Karasev, M. V.; Pereskokov, A. V. 2 1993 Unendliche Produkte und T-Produkte von Exponenten. Zbl 0334.47014 Karasev, M. V.; Mosolova, M. V. 2 1976 Intrinsic dynamics of manifolds: quantum paths, holonomy, and trajectory localization. Zbl 1186.81084 Karasev, M. V. 2 2004 Path integral and quasiclassical asymptotic behavior on a Lie group. Zbl 0413.22006 Karasev, M. V. 2 1977 On analog of Maslov class in non-Lagrangian case. Zbl 0805.57019 Karasev, Michael; Vorobjev, Yuriy 2 1992 Magneto-dimensional resonance. Pseudospin phase and hidden quantum number. Zbl 1380.81503 Karasev, M. V. 2 2017 Eigenstates of the quantum Penning-Ioffe nanotrap at resonance. Zbl 1308.78007 Karasev, M. V.; Novikova, E. M. 2 2014 Quantization and intrinsic dynamics. Zbl 1078.81044 Karasev, Mikhail 2 2003 Quasiclassical soliton solutions of the Hartree equation. Newtonian interaction with screening. Zbl 1138.81416 Karasev, M. V.; Maslov, V. P. 2 1980 Contribution to the symplectic structure in the quantization rule due to noncommutativity of adiabatic parameters. Zbl 1348.81281 Karasev, M. V. 2 2016 Coherent transform, quantization, and Poisson geometry. Zbl 0901.00009 1 1998 Representations of compact semisimple Lie algebras over Lagrangian submanifolds. Zbl 0848.58029 Karasev, M. V.; Kozlov, M. B. 1 1994 Asymptotic behavior of the spectrum of mixed states for self-consistent field equations. Zbl 0561.58042 Karasev, M. V. 1 1984 Instantons via breaking geometric symmetry in hyperbolic traps. Zbl 1383.81087 Karasev, M.; Novikova, E.; Vybornyi, E. 1 2017 Formulas for functions of ordered operators. Zbl 0327.46077 Karasev, M. V. 1 1976 Zur Theorie des kontinuierlichen Integrals. Zbl 0334.28009 Karasev, M. V. 1 1976 Path integral and quasiclassical asymptotics on a Lie group. Zbl 0354.22012 Karasev, M. V. 1 1977 Intrinsic quantum dynamics and its operator representation over a plane with a nonstandard connection. Zbl 1105.81304 Grigor’ev, O. N.; Karasev, M. V. 1 2003 Deformation and cohomologies of Poisson brackets. Zbl 0722.58017 Vorob’ev, Yu. M.; Karasev, M. V. 1 1990 Turning points, phase shifts, and quantization rules in ordinary differential equations with a local rapidly decreasing nonlinearity. Zbl 0871.34035 Karasev, M. V.; Pereskokov, A. V. 1 1995 Symplectic curvature and the Arnold form over an isotropic submanifold. Zbl 0889.58034 Karasev, M. V.; Vorobjev, Yu. M. 1 1996 Quasiclassical soliton-type solutions of the Hartry equations. Zbl 0414.35067 Karasev, M. V.; Maslov, V. P. 1 1979 Linear connections for Hamiltonian dynamics over isotropic submanifold. Zbl 0795.58017 Karasev, Michael; Vorobjev, Yurij 1 1994 Quantization due to breaking the commutativity of symmetries. Wobbling oscillator and anharmonic Penning trap. Zbl 1361.81080 Karasev, M. V. 1 2016 Coherent transformations and irreducible representations corresponding to complex structures on a cylinder and a torus. Zbl 1041.53053 Karasev, M. V.; Novikova, E. M. 1 2001 Algebra of symmetries of three-frequency resonance: reduction of a reducible case to an irreducible case. Zbl 1410.81021 Karasev, M. V.; Novikova, E. M. 3 2018 Bi-orbital states in hyperbolic traps. Zbl 1406.81031 Karasev, M.; Vybornyi, E. 1 2018 Bi-states and 2-level systems in rectangular Penning traps. Zbl 1387.81161 Karasev, Mikhail; Novikova, E.; Vybornyi, E. 3 2017 Magneto-dimensional resonance. Pseudospin phase and hidden quantum number. Zbl 1380.81503 Karasev, M. V. 2 2017 Instantons via breaking geometric symmetry in hyperbolic traps. Zbl 1383.81087 Karasev, M.; Novikova, E.; Vybornyi, E. 1 2017 Non-Lie top tunneling and quantum bilocalization in planar Penning trap. Zbl 1383.78017 Karasev, M. V.; Novikova, E. M.; Vybornyi, E. V. 4 2016 Contribution to the symplectic structure in the quantization rule due to noncommutativity of adiabatic parameters. Zbl 1348.81281 Karasev, M. V. 2 2016 Quantization due to breaking the commutativity of symmetries. Wobbling oscillator and anharmonic Penning trap. Zbl 1361.81080 Karasev, M. V. 1 2016 Planar Penning trap with combined resonance and top dynamics on quadratic algebra. Zbl 1341.78012 Karasev, M. V.; Novikova, E. M. 4 2015 Adiabatics using phase space translations and small parameter “dynamics”. Zbl 1327.81217 Karasev, M. 4 2015 Adiabatic approximation via hodograph translation and zero-curvature equations. Zbl 1311.81157 Karasev, M. V. 4 2014 Inserted perturbations generating asymptotical integrability. Zbl 1317.81288 Karasev, M. V.; Novikova, E. M. 3 2014 Eigenstates of the quantum Penning-Ioffe nanotrap at resonance. Zbl 1308.78007 Karasev, M. V.; Novikova, E. M. 2 2014 Secondary resonances in Penning traps. Non-Lie symmetry algebras and quantum states. Zbl 1292.81043 Karasev, M. V.; Novikova, E. M. 10 2013 Cubic algebra and averaged Hamiltonian for the resonance \(3: ( - 1)\) Penning-Ioffe trap. Zbl 1264.81170 Blagodyreva, O.; Karasev, M.; Novikova, E. 5 2012 Hall quantum Hamiltonians and electric 2D-curvature. Zbl 1260.81341 Karasev, M. V. 1 2012 Graphene as a quantum surface with curvature-strain preserving dynamics. Zbl 1252.82133 Karasev, M. V. 2 2011 Algebra and quantum geometry of multifrequency resonance. Zbl 1211.81080 Karasev, M. V.; Novikova, E. M. 10 2010 Quantum geometry and quantum mechanics of integrable systems. Zbl 1175.81134 Karasev, M. V. 2 2009 Magneto-metric Hamiltonians on quantum surfaces in the configuration space. Zbl 1115.81062 Karasev, M. V. 11 2007 Internal geometric current, and the Maxwell equation as a Hamiltonian system on configuration surfaces. Zbl 1128.35101 Karasev, M. V. 4 2007 Geometric dynamics on quantum nano-surfaces and low-energy spectrum in a homogeneous magnetic field. Zbl 1176.81053 Karasev, M. V. 3 2007 Resonance gyrons and quantum geometry. Zbl 1122.81055 Karasev, Mikhail 2 2007 Noncommutative algebras, nano-structures, and quantum dynamics generated by resonances. III. Zbl 1129.46064 Karasev, M. 9 2006 Algebras with polynomial commutation relations for a quantum particle in electric and magnetic fields. Zbl 1151.81330 Karasev, Mikhail; Novikova, Elena 12 2005 Noncommutative algebras, nano-structures, and quantum dynamics generated by resonances. II. Zbl 1091.46046 Karasev, Mikhail 10 2005 Algebra with polynomial commutation relations for the Zeeman-Stark effect in the hydrogen atom. Zbl 1178.81297 Karasev, M. V.; Novikova, E. M. 9 2005 Noncommutative algebras, nanostructures, and quantum dynamics generated by resonances. Zbl 1139.81358 Karasev, Mikhail 8 2005 Cotangent bundle quantization: entangling of metric and magnetic field. Zbl 1081.81068 Karasev, M. V.; Osborn, T. A. 7 2005 Algebra with polynomial commutation relations for the Zeeman effect in the Coulomb-Dirac field. Zbl 1178.81132 Karasev, M. V.; Novikova, E. M. 6 2005 Quantum magnetic algebra and magnetic curvature. Zbl 1050.81039 Karasev, M. V.; Osborn, T. A. 11 2004 Algebra with quadratic commutation relations for an axially perturbed Coulomb-Dirac field. Zbl 1178.81133 Karasev, M. V.; Novikova, E. M. 8 2004 Intrinsic dynamics of manifolds: quantum paths, holonomy, and trajectory localization. Zbl 1186.81084 Karasev, M. V. 2 2004 Asymptotic methods for wave and quantum problems. Zbl 1009.00012 3 2003 Quantization and intrinsic dynamics. Zbl 1078.81044 Karasev, Mikhail 2 2003 Intrinsic quantum dynamics and its operator representation over a plane with a nonstandard connection. Zbl 1105.81304 Grigor’ev, O. N.; Karasev, M. V. 1 2003 Global asymptotics and quantization rules for nonlinear differential equations. Zbl 1070.34073 Karasev, M. V.; Pereskokov, A. V. 1 2003 Symplectic areas, quantization, and dynamics in electromagnetic fields. Zbl 1059.81097 Karasev, M. V.; Osborn, T. A. 18 2002 Quantum surfaces, special functions, and the tunneling effect. Zbl 0996.53058 Karasev, Mikhail V. 8 2001 Asymptotic solutions of Hartree equations concentrated near low-dimensional submanifolds. II: Localization in planar discs. Zbl 1020.81017 Karasev, M. V.; Pereskokov, A. V. 8 2001 Asymptotic solutions of Hartree equations concentrated near low-dimensional submanifolds. I: The model with logarithmic singularity. Zbl 1019.81018 Karasev, M. V.; Pereskokov, A. V. 7 2001 Coherent transformations and irreducible representations corresponding to complex structures on a cylinder and a torus. Zbl 1041.53053 Karasev, M. V.; Novikova, E. M. 1 2001 Coherent transform of the spectral problem and algebras with nonlinear commutation relations. Zbl 1040.81528 Karasev, M.; Novikova, E. 6 1999 Non-Lie permutation relations, coherent states, and quantum embedding. Zbl 1036.81019 Karasev, Mikhail; Novikova, Elena 24 1998 Infinitesimal Poisson cohomology. Zbl 0922.58028 Itskov, Vladimir; Karasev, Mikhail; Vorobjev, Yurii 9 1998 Integral representations over isotropic submanifolds and equations of zero curvature. Zbl 0926.53030 Karasev, Mikhail; Vorobjev, Yuri 4 1998 Adapted connections, Hamilton dynamics, geometric phases, and quantization over isotropic submanifolds. Zbl 0923.58022 Karasev, Mikhail; Vorobjev, Yurii 4 1998 Advances in quantization: quantum tensors, explicit star-products, and restriction to irreducible leaves. Zbl 0951.53059 Karasev, Mikhail 2 1998 Coherent transform, quantization, and Poisson geometry. Zbl 0901.00009 1 1998 Representation of exact and semiclassical eigenfunctions via coherent states. The hydrogen atom in a magnetic field. Zbl 1041.81540 Karasev, M. V.; Novikova, E. M. 17 1996 Representation of the evolution operator via membrane amplitudes. Zbl 0945.58012 Karasev, M. V. 3 1996 Symplectic curvature and the Arnold form over an isotropic submanifold. Zbl 0889.58034 Karasev, M. V.; Vorobjev, Yu. M. 1 1996 Quantization and coherent states over Lagrangian submanifolds. Zbl 0912.58016 Karasev, Mikhail V. 9 1995 Turning points, phase shifts, and quantization rules in ordinary differential equations with a local rapidly decreasing nonlinearity. Zbl 0871.34035 Karasev, M. V.; Pereskokov, A. V. 1 1995 Quantization by means of two-dimensional surfaces (membranes): Geometrical formulas for wave-functions. Zbl 0820.58025 Karasev, Mikhail 3 1994 Quadratic Poisson brackets in the Zeeman effect. Irreducible representations and coherent states. Zbl 0846.58026 Karasev, M. V.; Novikova, E. M. 3 1994 Formulas for noncommutative products of functions in terms of membranes and strings. I. Zbl 0904.58023 Karasev, Mikhail 2 1994 Representations of compact semisimple Lie algebras over Lagrangian submanifolds. Zbl 0848.58029 Karasev, M. V.; Kozlov, M. B. 1 1994 Linear connections for Hamiltonian dynamics over isotropic submanifold. Zbl 0795.58017 Karasev, Michael; Vorobjev, Yurij 1 1994 Nonlinear Poisson brackets. Geometry and quantization. Translated from the Russian by A. Sossinsky and M. Shishkova. Transl. edited by Simeon Ivanov. Zbl 0776.58003 Karasev, Mikhail Vladimirovich; Maslov, V. P. 25 1993 Quantum and semiclassical representations over Lagrangian submanifolds in \(su(2)^*\), \(so(4)^*\), and \(su(1,1)^*\). Zbl 0788.58025 Karasev, Mikhail; Kozlov, Mikhail 5 1993 Integrals over membranes, transition amplitudes, and quantization. Zbl 0909.58015 Karasev, Mikhail V. 4 1993 On connection formulas for the second Painlevé transcendent. Proof of the Miles conjecture, and a quantization rule. Zbl 0815.34046 Karasev, M. V.; Pereskokov, A. V. 2 1993 Quasimodes generated by characters of a dynamical group, and deformation of the Kirillov form. Zbl 0797.58030 Vorob’ev, Yu. M.; Karasëv, M. V. 7 1992 On analog of Maslov class in non-Lagrangian case. Zbl 0805.57019 Karasev, Michael; Vorobjev, Yuriy 2 1992 Nonlinear Poisson brackets. Geometry and quantization. (Nelinejnye skobki Puassona. Geometriya i kvantovanie.) Zbl 0731.58002 Karasev, M. V.; Maslov, V. P. 72 1991 Simple quantization formula. Zbl 0767.58017 Karasev, M. V. 3 1991 New global asymptotics and anomalies for the problem of quantization of the adiabatic invariant. Zbl 0715.58036 Karasev, M. V. 22 1990 Non-Lie permutation relations. Zbl 0727.16025 Karasev, M. V.; Maslov, V. P. 4 1990 Deformation and cohomologies of Poisson brackets. Zbl 0722.58017 Vorob’ev, Yu. M.; Karasev, M. V. 1 1990 The Maslov quantization conditions in higher cohomology and analogs of notions developed in Lie theory for canonical fibre bundles of symplectic manifolds. I, II. Zbl 0704.58019 Karasev, M. V. 9 1989 Connections on Lagrangian submanifolds and some quasiclassical approximation problems. Zbl 0780.58051 Karasev, M. V. 8 1989 Flat Poisson manifolds and finite-dimensional pseudogroups. Zbl 0686.58043 Karasev, M. V. 6 1989 Connections on Lagrangian submanifolds and some problems of quasi- classical approximation. I. Zbl 0741.58056 Karasev, M. V. 6 1989 Poisson manifolds and the Schouten bracket. Zbl 0667.58018 Vorob’ev, Yu. M.; Karasev, M. V. 75 1988 On Poisson manifolds and Schouten bracket. Zbl 0644.58002 Vorob’ev, Yu. M.; Karasev, M. V. 2 1988 Corrections to classical dynamics and quantization conditions arising in the deformation of Poisson brackets. Zbl 0676.58026 Vorob’ev, Yu. M.; Karasev, M. V. 2 1988 Analogues of the objects of Lie group theory for nonlinear Poisson brackets. Zbl 0624.58007 Karasev, M. V. 46 1987 Lagrangian rings. Multiscale asymptotics of a spectrum near resonance. Zbl 0684.58034 Karasev, M. V. 4 1987 Analogues of objects of the theory of Lie groups for nonlinear Poisson brackets. Zbl 0608.58023 Karasev, M. V. 29 1986 Poisson symmetry algebras and the asymptotics of spectral series. Zbl 0629.58017 Karasev, M. V. 9 1986 Asymptotic and geometric quantization. Zbl 0588.58031 Karasëv, M. V.; Maslov, V. P. 34 1984 Pseudodifferential operators and a canonical operator in general symplectic manifolds. Zbl 0554.58048 Karasev, M. V.; Maslov, V. P. 3 1984 Asymptotics of the eigenvalues of operators with a Poisson algebra of symmetries in the highest symbol. Zbl 0565.58038 Karasev, M. V. 2 1984 Asymptotic behavior of the spectrum of mixed states for self-consistent field equations. Zbl 0561.58042 Karasev, M. V. 1 1984 Pseudo-differential operators and a canonical operator in general symplectic manifolds. Zbl 0538.58035 Karasev, M. V.; Maslov, V. P. 5 1983 Quantization of symplectic manifolds with conical points. Zbl 0515.53032 Karasev, M. V.; Maslov, V. P. 2 1982 Global asymptotic operators of the regular representation. Zbl 0476.58025 Karasev, M. V.; Maslov, V. P. 5 1981 Quasiclassical soliton solutions of the Hartree equation. Newtonian interaction with screening. Zbl 1138.81416 Karasev, M. V.; Maslov, V. P. 2 1980 Algebras with general commutation relations and their applications. II. Unitary-nonlinear operator equations. Zbl 0482.58029 Karasev, M. V.; Maslov, V. P. 24 1979 Weyl and ordered calculus of noncommuting operators. Zbl 0466.47013 Karasev, M. V. 8 1979 Quasiclassical soliton-type solutions of the Hartry equations. Zbl 0414.35067 Karasev, M. V.; Maslov, V. P. 1 1979 On the quantization of rapidly oscillating symbols. Zbl 0417.47025 Karasev, M. V.; Nazaĭkinskiĭ, V. E. 7 1978 On the quantization of rapidly oscillating symbols. Zbl 0391.47036 Karasev, M. V.; Nazaikinskii, V. E. 5 1978 The asymptotic spectrum and oscillation front for operators with nonlinear commutation relations. Zbl 0427.47019 Karasev, M. V. 4 1978 Infinite products and T products of exponentials. Zbl 0413.47028 Karasev, M. V.; Mosolova, M. V. 3 1977 Path integral and quasiclassical asymptotic behavior on a Lie group. Zbl 0413.22006 Karasev, M. V. 2 1977 Path integral and quasiclassical asymptotics on a Lie group. Zbl 0354.22012 Karasev, M. V. 1 1977 Unendliche Produkte und T-Produkte von Exponenten. Zbl 0334.47014 Karasev, M. V.; Mosolova, M. V. 2 1976 Formulas for functions of ordered operators. Zbl 0327.46077 Karasev, M. V. 1 1976 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 408 Authors 45 Karasev, Mikhail Vladimirovich 19 Pereskokov, A. V. 19 Vorob’ev, Yu. M. 17 Dobrokhotov, Sergei Yurievich 15 Maslov, Viktor Pavlovich 14 Novikova, E. M. 14 Purice, Radu 11 Măntoiu, Marius Laurențiu 9 Avendaño-Camacho, Misael 7 Belov, Vladimir Vasilyevich 7 Shapovalov, Aleksandr V. 7 Trifonov, Andrey Yu. 7 Vybornyi, E. V. 7 Weinstein, Alan David 6 Nazaikinskii, Vladimir E. 6 Xu, Ping 5 Anikin, A. Yu. 5 Brüning, Jochen 5 Karabegov, Alexander V. 5 Shvedov, Oleg Yur’evich 4 Álvarez, Daniel 4 Chebotarev, Alexandr M. 4 Fassò, Francesco 4 Iftimie, Viorel 4 Kupriyanov, Vladislav G. 4 Levendorskiĭ, Sergeĭ Zakharovich 4 Mimachi, Katsuhisa 4 Noumi, Masatoshi 4 Richard, Serge 4 Varchenko, Alexander Nikolaevich 3 Cattaneo, Alberto Sergio 3 Dherin, Benoit 3 Floreanini, Roberto 3 Grabowski, Janusz 3 Grushin, V. V. 3 Kondrat’eva, M. F. 3 Kordyukov, Yuri A. 3 Kosmann-Schwarzbach, Yvette 3 Maeda, Yoshiaki 3 Masuda, Tetsuya 3 Nakagami, Yoshiomi 3 Omori, Hideki 3 Ruíz-Pantaleón, José Crispín 3 Smirnova, E. I. 3 Soibelman, Yan S. 3 Vaisman, Izu 3 Vinet, Luc 3 Yoshioka, Akira 3 Yur’ev, Denis Valer’evich 2 Albeverio, Sergio A. 2 Alcalde Cuesta, Fernando 2 Atakishiev, Natig M. 2 Bibikov, Petr N. 2 Bursztyn, Henrique 2 Cabau, Patrick 2 Cabrera, Alejandro 2 Cornean, Horia D. 2 Dolgushev, Vasily A. 2 Emmrich, Claudio 2 Felder, Giovanni 2 Fomenko, Anatoliĭ Timofeevich 2 García-Beltrán, Dennise 2 Gel’fand, Israil’ Moiseevich 2 Gurarie, David 2 Hector, Gilbert 2 Hu, Jiashun 2 Jakimowicz, Grzegorz 2 Khesin, Boris A. 2 Khovanskiĭ, Askold Georgievich 2 Korogodsky, Leonid I. 2 Kozlov, Mikhail 2 Kubarski, Jan 2 Kuksin, Sergeĭ B. 2 Kulish, Petr Petrovich 2 Levchenko, E. A. 2 Liu, Zhangju 2 Lychagina, O. V. 2 Magazev, Alexey Anatolevich 2 Magri, Franco 2 Mamani-Alegria, N. 2 Marrero, Juan Carlos 2 Migaeva, A. S. 2 Minenkov, Dmitrii S. 2 Mishchenko, Aleksandr Sergeevich 2 Nakanishi, Nobutada 2 Neĭshtadt, Anatoliĭ Iserovich 2 Nekrasov, R. V. 2 Odzijewicz, Anatol 2 Pelletier, Fernand 2 Pugliese, Fabrizio 2 Reshetikhin, Nikolai Yu. 2 Ruuge, Artur E. 2 Saburi, Yutaka 2 Sakbaev, Vsevolod Zhanovich 2 Sergeev, Sergeĭ Alekseevich 2 Shafarevich, Andreĭ Igorevich 2 Shirokov, Igor’ Viktorovich 2 Shlosman, Senya B. 2 Sliżewska, Aneta 2 Smirnov, Alexander G. ...and 308 more Authors all top 5 Cited in 113 Serials 47 Theoretical and Mathematical Physics 43 Mathematical Notes 39 Russian Journal of Mathematical Physics 23 Journal of Mathematical Physics 22 Functional Analysis and its Applications 21 Communications in Mathematical Physics 18 Journal of Mathematical Sciences (New York) 17 Letters in Mathematical Physics 16 Journal of Geometry and Physics 8 Journal of Soviet Mathematics 7 Advances in Mathematics 7 Russian Physics Journal 6 Differential Geometry and its Applications 6 Journal of Physics A: Mathematical and Theoretical 4 Journal of Pseudo-Differential Operators and Applications 3 Annales de l’Institut Fourier 3 Mathematische Annalen 3 Pacific Journal of Mathematics 3 Acta Applicandae Mathematicae 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Physics Letters. A 2 Physics Letters. B 2 Reports on Mathematical Physics 2 Russian Mathematical Surveys 2 Reviews in Mathematical Physics 2 Indiana University Mathematics Journal 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Proceedings of the Japan Academy. Series A 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Annals of Global Analysis and Geometry 2 Computational Mathematics and Mathematical Physics 2 Communications in Partial Differential Equations 2 Bulletin of the American Mathematical Society. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Bulletin des Sciences Mathématiques 2 Regular and Chaotic Dynamics 2 Journal of High Energy Physics 2 Lobachevskii Journal of Mathematics 2 Annales Henri Poincaré 2 International Journal of Geometric Methods in Modern Physics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Geometric Mechanics 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 International Journal of Modern Physics B 1 Applicable Analysis 1 General Relativity and Gravitation 1 Israel Journal of Mathematics 1 Journal of Applied Mathematics and Mechanics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Nuclear Physics. B 1 Transport Theory and Statistical Physics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Fortschritte der Physik 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. 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English Series 1 Communications in Contemporary Mathematics 1 The ANZIAM Journal 1 Journal of Nonlinear Mathematical Physics ...and 13 more Serials all top 5 Cited in 50 Fields 194 Quantum theory (81-XX) 128 Differential geometry (53-XX) 100 Partial differential equations (35-XX) 74 Nonassociative rings and algebras (17-XX) 72 Dynamical systems and ergodic theory (37-XX) 66 Global analysis, analysis on manifolds (58-XX) 38 Operator theory (47-XX) 31 Topological groups, Lie groups (22-XX) 31 Functional analysis (46-XX) 27 Ordinary differential equations (34-XX) 26 Mechanics of particles and systems (70-XX) 25 Associative rings and algebras (16-XX) 23 Special functions (33-XX) 21 Optics, electromagnetic theory (78-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Algebraic geometry (14-XX) 8 Group theory and generalizations (20-XX) 6 Relativity and gravitational theory (83-XX) 5 Category theory; homological algebra (18-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Convex and discrete geometry (52-XX) 5 Numerical analysis (65-XX) 5 Fluid mechanics (76-XX) 4 Commutative algebra (13-XX) 4 Approximations and expansions (41-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Manifolds and cell complexes (57-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year