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Karasev, Mikhail Vladimirovich

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Author ID: karasev.mikhail-vladimirovich Recent zbMATH articles by "Karasev, Mikhail Vladimirovich"
Published as: Karasev, M.; Karasev, M. V.; Karasev, Mikhail; Karasev, Mikhail V.; Karasev, Mikhail Vladimirovich; Karasëv, M. V.
Documents Indexed: 121 Publications since 1971, including 5 Books

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Citations contained in zbMATH

95 Publications have been cited 672 times in 363 Documents Cited by Year
Poisson manifolds and the Schouten bracket. Zbl 0667.58018
Vorob’ev, Yu. M.; Karasev, M. V.
74
1988
Nonlinear Poisson brackets. Geometry and quantization. Zbl 0731.58002
Karasev, M. V.; Maslov, V. P.
69
1991
Analogues of the objects of Lie group theory for nonlinear Poisson brackets. Zbl 0624.58007
Karasev, M. V.
39
1987
Asymptotic and geometric quantization. Zbl 0588.58031
Karasëv, M. V.; Maslov, V. P.
29
1984
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.
24
1993
Non-Lie permutation relations, coherent states, and quantum embedding. Zbl 1036.81019
Karasev, Mikhail; Novikova, Elena
22
1998
New global asymptotics and anomalies for the problem of quantization of the adiabatic invariant. Zbl 0715.58036
Karasev, M. V.
20
1990
Algebras with general commutation relations and their applications. II. Unitary-nonlinear operator equations. Zbl 0482.58029
Karasev, M. V.; Maslov, V. P.
20
1979
Analogues of objects of the theory of Lie groups for nonlinear Poisson brackets. Zbl 0608.58023
Karasev, M. V.
18
1986
Symplectic areas, quantization, and dynamics in electromagnetic fields. Zbl 1059.81097
Karasev, M. V.; Osborn, T. A.
17
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.
12
1996
Secondary resonances in Penning traps. Non-Lie symmetry algebras and quantum states. Zbl 1292.81043
Karasev, M. V.; Novikova, E. M.
10
2013
Magneto-metric Hamiltonians on quantum surfaces in the configuration space. Zbl 1115.81062
Karasev, M. V.
10
2007
Quantum magnetic algebra and magnetic curvature. Zbl 1050.81039
Karasev, M. V.; Osborn, T. A.
10
2004
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
9
2005
Noncommutative algebras, nano-structures, and quantum dynamics generated by resonances. II. Zbl 1091.46046
Karasev, Mikhail
9
2005
Poisson symmetry algebras and the asymptotics of spectral series. Zbl 0629.58017
Karasev, M. V.
9
1986
Noncommutative algebras, nanostructures, and quantum dynamics generated by resonances. Zbl 1139.81358
Karasev, Mikhail
8
2005
Quantum surfaces, special functions, and the tunneling effect. Zbl 0996.53058
Karasev, Mikhail V.
8
2001
Quantization and coherent states over Lagrangian submanifolds. Zbl 0912.58016
Karasev, Mikhail V.
8
1995
Algebra with polynomial commutation relations for the Zeeman-Stark effect in the hydrogen atom. Zbl 1178.81297
Karasev, M. V.; Novikova, E. M.
7
2005
Algebra with quadratic commutation relations for an axially perturbed Coulomb-Dirac field. Zbl 1178.81133
Karasev, M. V.; Novikova, E. M.
7
2004
Infinitesimal Poisson cohomology. Zbl 0922.58028
Itskov, Vladimir; Karasev, Mikhail; Vorobjev, Yurii
7
1998
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
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.
7
1989
Weyl and ordered calculus of noncommuting operators. Zbl 0466.47013
Karasev, M. V.
7
1979
Algebra and quantum geometry of multifrequency resonance. Zbl 1211.81080
Karasev, M. V.; Novikova, E. M.
6
2010
Cotangent bundle quantization: entangling of metric and magnetic field. Zbl 1081.81068
Karasev, M. V.; Osborn, T. A.
6
2005
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.
6
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.
6
2001
Connections on Lagrangian submanifolds and some quasiclassical approximation problems. Zbl 0780.58051
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
On the quantization of rapidly oscillating symbols. Zbl 0391.47036
Karasev, M. V.; Nazaikinskii, V. E.
6
1978
Algebra with polynomial commutation relations for the Zeeman effect in the Coulomb-Dirac field. Zbl 1178.81132
Karasev, M. V.; Novikova, E. M.
5
2005
Coherent transform of the spectral problem and algebras with nonlinear commutation relations. Zbl 1040.81528
Karasev, M.; Novikova, E.
5
1999
Global asymptotic operators of the regular representation. Zbl 0476.58025
Karasev, M. V.; Maslov, V. P.
5
1981
On the quantization of rapidly oscillating symbols. Zbl 0417.47025
Karasev, M. V.; Nazaĭkinskiĭ, V. E.
5
1978
Expansion of functions of noncommuting operators. Zbl 0312.47009
Karasev, M. V.
5
1974
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
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
Cubic algebra and averaged Hamiltonian for the resonance \(3: ( - 1)\) Penning-Ioffe trap. Zbl 1264.81170
Blagodyreva, O.; Karasev, M.; Novikova, E.
4
2012
Integrals over membranes, transition amplitudes, and quantization. Zbl 0909.58015
Karasev, Mikhail V.
4
1993
Quantum and semiclassical representations over Lagrangian submanifolds in \(su(2)^*\), \(so(4)^*\), and \(su(1,1)^*\). Zbl 0788.58025
Karasev, Mikhail; Kozlov, Mikhail
4
1993
Non-Lie permutation relations. Zbl 0727.16025
Karasev, M. V.; Maslov, V. P.
4
1990
Flat Poisson manifolds and finite-dimensional pseudogroups. Zbl 0686.58043
Karasev, M. V.
4
1989
Lagrangian rings. Multiscale asymptotics of a spectrum near resonance. Zbl 0684.58034
Karasev, M. V.
4
1987
Pseudodifferential operators and a canonical operator in general symplectic manifolds. Zbl 0554.58048
Karasev, M. V.; Maslov, V. P.
4
1984
Pseudo-differential operators and a canonical operator in general symplectic manifolds. Zbl 0538.58035
Karasev, M. V.; Maslov, V. P.
4
1983
The asymptotic spectrum and oscillation front for operators with nonlinear commutation relations. Zbl 0427.47019
Karasev, M. V.
4
1978
Calculus of ordered operators on a factor algebra. Zbl 0309.47027
Karasev, M. V.
4
1974
Bi-states and 2-level systems in rectangular Penning traps. Zbl 1387.81161
Karasev, Mikhail; Novikova, E.; Vybornyi, E.
3
2017
Adiabatics using phase space translations and small parameter “dynamics”. Zbl 1327.81217
Karasev, M.
3
2015
Inserted perturbations generating asymptotical integrability. Zbl 1317.81288
Karasev, M. V.; Novikova, E. M.
3
2014
Internal geometric current, and the Maxwell equation as a Hamiltonian system on configuration surfaces. Zbl 1128.35101
Karasev, M. V.
3
2007
Adapted connections, Hamilton dynamics, geometric phases, and quantization over isotropic submanifolds. Zbl 0923.58022
Karasev, Mikhail; Vorobjev, Yurii
3
1998
Representation of the evolution operator via membrane amplitudes. Zbl 0945.58012
Karasev, M. V.
3
1996
Quadratic Poisson brackets in the Zeeman effect. Irreducible representations and coherent states. Zbl 0846.58026
Karasev, M. V.; Novikova, E. M.
3
1994
Quantization by means of two-dimensional surfaces (membranes): Geometrical formulas for wave-functions. Zbl 0820.58025
Karasev, Mikhail
3
1994
Infinite products and T products of exponentials. Zbl 0413.47028
Karasev, M. V.; Mosolova, M. V.
3
1977
Eigenstates of the quantum Penning-Ioffe nanotrap at resonance. Zbl 1308.78007
Karasev, M. V.; Novikova, E. M.
2
2014
Graphene as a quantum surface with curvature-strain preserving dynamics. Zbl 1252.82133
Karasev, M. V.
2
2011
Quantum geometry and quantum mechanics of integrable systems. Zbl 1175.81134
Karasev, M. V.
2
2009
Geometric dynamics on quantum nano-surfaces and low-energy spectrum in a homogeneous magnetic field. Zbl 1176.81053
Karasev, M. V.
2
2007
Resonance gyrons and quantum geometry. Zbl 1122.81055
Karasev, Mikhail
2
2007
Intrinsic dynamics of manifolds: quantum paths, holonomy, and trajectory localization. Zbl 1186.81084
Karasev, M. V.
2
2004
Quantization and intrinsic dynamics. Zbl 1078.81044
Karasev, Mikhail
2
2003
Advances in quantization: quantum tensors, explicit star-products, and restriction to irreducible leaves. Zbl 0951.53059
Karasev, Mikhail
2
1998
Integral representations over isotropic submanifolds and equations of zero curvature. Zbl 0926.53030
Karasev, Mikhail; Vorobjev, Yuri
2
1998
Formulas for noncommutative products of functions in terms of membranes and strings. I. Zbl 0904.58023
Karasev, Mikhail
2
1994
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
Simple quantization formula. Zbl 0767.58017
Karasev, M. V.
2
1991
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
Asymptotics of the eigenvalues of operators with a Poisson algebra of symmetries in the highest symbol. Zbl 0565.58038
Karasev, M. V.
2
1984
Quantization of symplectic manifolds with conical points. Zbl 0515.53032
Karasev, M. V.; Maslov, V. P.
2
1982
Path integral and quasiclassical asymptotic behavior on a Lie group. Zbl 0413.22006
Karasev, M. V.
2
1977
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.
1
2018
Instantons via breaking geometric symmetry in hyperbolic traps. Zbl 1383.81087
Karasev, M.; Novikova, E.; Vybornyi, E.
1
2017
Magneto-dimensional resonance. Pseudospin phase and hidden quantum number. Zbl 1380.81503
Karasev, M. V.
1
2017
Quantization due to breaking the commutativity of symmetries. Wobbling oscillator and anharmonic Penning trap. Zbl 1361.81080
Karasev, M. V.
1
2016
Hall quantum Hamiltonians and electric 2D-curvature. Zbl 1260.81341
Karasev, M. V.
1
2012
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
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, quantization, and Poisson geometry. Zbl 0901.00009
Karasev, M. V. (ed.)
1
1998
Symplectic curvature and the Arnold form over an isotropic submanifold. Zbl 0889.58034
Karasev, M. V.; Vorobjev, Yu. M.
1
1996
Representations of compact semisimple Lie algebras over Lagrangian submanifolds. Zbl 0848.58029
Karasev, M. V.; Kozlov, M. B.
1
1994
On Poisson manifolds and Schouten bracket. Zbl 0644.58002
Vorob’ev, Yu. M.; Karasev, M. V.
1
1988
Asymptotic behavior of the spectrum of mixed states for self-consistent field equations. Zbl 0561.58042
Karasev, M. V.
1
1984
Quasiclassical soliton solutions of the Hartree equation. Newtonian interaction with screening. Zbl 1138.81416
Karasev, M. V.; Maslov, V. P.
1
1980
Quasiclassical soliton-type solutions of the Hartry equations. Zbl 0414.35067
Karasev, M. V.; Maslov, V. P.
1
1979
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.
1
1976
Zur Theorie des kontinuierlichen Integrals. Zbl 0334.28009
Karasev, M. V.
1
1976
Über die Störung der Quasiniveaus eines Schrödingeroperators mit komplexem Potential. Zbl 0219.47012
Gataullin, T. M.; Karasev, M. V.
1
1971
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.
1
2018
Bi-states and 2-level systems in rectangular Penning traps. Zbl 1387.81161
Karasev, Mikhail; Novikova, E.; Vybornyi, E.
3
2017
Instantons via breaking geometric symmetry in hyperbolic traps. Zbl 1383.81087
Karasev, M.; Novikova, E.; Vybornyi, E.
1
2017
Magneto-dimensional resonance. Pseudospin phase and hidden quantum number. Zbl 1380.81503
Karasev, M. V.
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
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.
3
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.
4
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.
6
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.
10
2007
Internal geometric current, and the Maxwell equation as a Hamiltonian system on configuration surfaces. Zbl 1128.35101
Karasev, M. V.
3
2007
Geometric dynamics on quantum nano-surfaces and low-energy spectrum in a homogeneous magnetic field. Zbl 1176.81053
Karasev, M. V.
2
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
9
2005
Noncommutative algebras, nano-structures, and quantum dynamics generated by resonances. II. Zbl 1091.46046
Karasev, Mikhail
9
2005
Noncommutative algebras, nanostructures, and quantum dynamics generated by resonances. Zbl 1139.81358
Karasev, Mikhail
8
2005
Algebra with polynomial commutation relations for the Zeeman-Stark effect in the hydrogen atom. Zbl 1178.81297
Karasev, M. V.; Novikova, E. M.
7
2005
Cotangent bundle quantization: entangling of metric and magnetic field. Zbl 1081.81068
Karasev, M. V.; Osborn, T. A.
6
2005
Algebra with polynomial commutation relations for the Zeeman effect in the Coulomb-Dirac field. Zbl 1178.81132
Karasev, M. V.; Novikova, E. M.
5
2005
Quantum magnetic algebra and magnetic curvature. Zbl 1050.81039
Karasev, M. V.; Osborn, T. A.
10
2004
Algebra with quadratic commutation relations for an axially perturbed Coulomb-Dirac field. Zbl 1178.81133
Karasev, M. V.; Novikova, E. M.
7
2004
Intrinsic dynamics of manifolds: quantum paths, holonomy, and trajectory localization. Zbl 1186.81084
Karasev, M. V.
2
2004
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
Symplectic areas, quantization, and dynamics in electromagnetic fields. Zbl 1059.81097
Karasev, M. V.; Osborn, T. A.
17
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. I: The model with logarithmic singularity. Zbl 1019.81018
Karasev, M. V.; Pereskokov, A. V.
6
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.
6
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.
5
1999
Non-Lie permutation relations, coherent states, and quantum embedding. Zbl 1036.81019
Karasev, Mikhail; Novikova, Elena
22
1998
Infinitesimal Poisson cohomology. Zbl 0922.58028
Itskov, Vladimir; Karasev, Mikhail; Vorobjev, Yurii
7
1998
Adapted connections, Hamilton dynamics, geometric phases, and quantization over isotropic submanifolds. Zbl 0923.58022
Karasev, Mikhail; Vorobjev, Yurii
3
1998
Advances in quantization: quantum tensors, explicit star-products, and restriction to irreducible leaves. Zbl 0951.53059
Karasev, Mikhail
2
1998
Integral representations over isotropic submanifolds and equations of zero curvature. Zbl 0926.53030
Karasev, Mikhail; Vorobjev, Yuri
2
1998
Coherent transform, quantization, and Poisson geometry. Zbl 0901.00009
Karasev, M. V. (ed.)
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.
12
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.
8
1995
Quadratic Poisson brackets in the Zeeman effect. Irreducible representations and coherent states. Zbl 0846.58026
Karasev, M. V.; Novikova, E. M.
3
1994
Quantization by means of two-dimensional surfaces (membranes): Geometrical formulas for wave-functions. Zbl 0820.58025
Karasev, Mikhail
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
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.
24
1993
Integrals over membranes, transition amplitudes, and quantization. Zbl 0909.58015
Karasev, Mikhail V.
4
1993
Quantum and semiclassical representations over Lagrangian submanifolds in \(su(2)^*\), \(so(4)^*\), and \(su(1,1)^*\). Zbl 0788.58025
Karasev, Mikhail; Kozlov, Mikhail
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
Nonlinear Poisson brackets. Geometry and quantization. Zbl 0731.58002
Karasev, M. V.; Maslov, V. P.
69
1991
Simple quantization formula. Zbl 0767.58017
Karasev, M. V.
2
1991
New global asymptotics and anomalies for the problem of quantization of the adiabatic invariant. Zbl 0715.58036
Karasev, M. V.
20
1990
Non-Lie permutation relations. Zbl 0727.16025
Karasev, M. V.; Maslov, V. P.
4
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.
7
1989
Connections on Lagrangian submanifolds and some quasiclassical approximation problems. Zbl 0780.58051
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
Flat Poisson manifolds and finite-dimensional pseudogroups. Zbl 0686.58043
Karasev, M. V.
4
1989
Poisson manifolds and the Schouten bracket. Zbl 0667.58018
Vorob’ev, Yu. M.; Karasev, M. V.
74
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
On Poisson manifolds and Schouten bracket. Zbl 0644.58002
Vorob’ev, Yu. M.; Karasev, M. V.
1
1988
Analogues of the objects of Lie group theory for nonlinear Poisson brackets. Zbl 0624.58007
Karasev, M. V.
39
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.
18
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.
29
1984
Pseudodifferential operators and a canonical operator in general symplectic manifolds. Zbl 0554.58048
Karasev, M. V.; Maslov, V. P.
4
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.
4
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.
1
1980
Algebras with general commutation relations and their applications. II. Unitary-nonlinear operator equations. Zbl 0482.58029
Karasev, M. V.; Maslov, V. P.
20
1979
Weyl and ordered calculus of noncommuting operators. Zbl 0466.47013
Karasev, M. V.
7
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 0391.47036
Karasev, M. V.; Nazaikinskii, V. E.
6
1978
On the quantization of rapidly oscillating symbols. Zbl 0417.47025
Karasev, M. V.; Nazaĭkinskiĭ, 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.
1
1976
Zur Theorie des kontinuierlichen Integrals. Zbl 0334.28009
Karasev, M. V.
1
1976
Expansion of functions of noncommuting operators. Zbl 0312.47009
Karasev, M. V.
5
1974
Calculus of ordered operators on a factor algebra. Zbl 0309.47027
Karasev, M. V.
4
1974
Über die Störung der Quasiniveaus eines Schrödingeroperators mit komplexem Potential. Zbl 0219.47012
Gataullin, T. M.; Karasev, M. V.
1
1971
all top 5

Cited by 365 Authors

41 Karasev, Mikhail Vladimirovich
16 Dobrokhotov, Sergei Yurievich
15 Maslov, Viktor Pavlovich
14 Pereskokov, A. V.
14 Vorobjev, Yurii M.
13 Novikova, E. M.
13 Purice, Radu
11 Măntoiu, Marius Laurenţiu
7 Belov, Vladimir Vasilyevich
7 Shapovalov, Aleksandr V.
7 Trifonov, Andrey Yu.
6 Avendaño-Camacho, Misael
5 Anikin, A. Yu.
5 Brüning, Jochen
5 Fassò, Francesco
5 Shvedov, Oleg Yur’evich
5 Vybornyi, E. V.
5 Weinstein, Alan David
5 Xu, Ping
4 Chebotarev, Alexandr M.
4 Iftimie, Viorel
4 Karabegov, Alexander V.
4 Levendorskiĭ, Sergeĭ Zakharovich
4 Mimachi, Katsuhisa
4 Nazaikinskii, Vladimir E.
4 Noumi, Masatoshi
4 Richard, Serge
4 Varchenko, Alexander Nikolaevich
3 Floreanini, Roberto
3 Grabowski, Janusz
3 Grushin, V. V.
3 Kondrat’eva, M. F.
3 Kosmann-Schwarzbach, Yvette
3 Maeda, Yoshiaki
3 Masuda, Tetsuya
3 Nakagami, Yoshiomi
3 Omori, Hideki
3 Smirnova, E. I.
3 Soibelman, Yan S.
3 Tudorovskii, T. Ya.
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, P. N.
2 Cabau, Patrick
2 Cattaneo, Alberto Sergio
2 Dherin, Benoit
2 Dolgushev, Vasily A.
2 Emmrich, Claudio
2 Felder, Giovanni
2 Gel’fand, Israil’ Moiseevich
2 Gurarie, David
2 Hector, Gilbert
2 Hu, Jiashun
2 Jakimowicz, Grzegorz
2 Karasev, M. D.
2 Karasev, Michael
2 Khesin, Boris A.
2 Khovanskiĭ, Askold Georgievich
2 Kordyukov, Yuri A.
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 Marrero, Juan Carlos
2 Migaeva, A. S.
2 Minenkov, Dmitrii S.
2 Mishchenko, Aleksandr Sergeevich
2 Nakanishi, Nobutada
2 Neishtadt, Anatoly I.
2 Nekrasov, R. V.
2 Odzijewicz, Anatol
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, Semen B.
2 Sliżewska, Aneta
2 Smirnov, Alexander G.
2 Suzuki, Masuo
2 Thizy, Pierre-Damien
2 Tirozzi, Brunello
2 Tlyachev, T. V.
2 Tyutin, Igor Viktorovich
2 Ueno, Kimio
2 Vakhrameeva, D. A.
2 Vaksman, Leonid L’vovich
2 Veselov, Alexander Petrovich
...and 265 more Authors
all top 5

Cited in 94 Serials

45 Theoretical and Mathematical Physics
39 Mathematical Notes
33 Russian Journal of Mathematical Physics
22 Functional Analysis and its Applications
20 Communications in Mathematical Physics
20 Journal of Mathematical Physics
17 Letters in Mathematical Physics
17 Journal of Geometry and Physics
15 Journal of Mathematical Sciences (New York)
8 Journal of Soviet Mathematics
7 Russian Physics Journal
5 Advances in Mathematics
4 Differential Geometry and its Applications
4 Journal of Pseudo-Differential Operators and Applications
3 Annales de l’Institut Fourier
3 Acta Applicandae Mathematicae
2 Physics Letters. A
2 Physics Letters. B
2 Reports on Mathematical Physics
2 Russian Mathematical Surveys
2 Reviews in Mathematical Physics
2 Journal of Algebra
2 Journal of Functional Analysis
2 Mathematische Annalen
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 Annales Henri Poincaré
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 International Journal of Geometric Methods in Modern Physics
2 Journal of Physics A: Mathematical and Theoretical
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 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Duke Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Inventiones Mathematicae
1 Journal of Differential Equations
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Transactions of the Moscow Mathematical Society
1 Annals of Pure and Applied Logic
1 Acta Mathematicae Applicatae Sinica. English Series
1 \(K\)-Theory
1 Computational Mechanics
1 Journal of Theoretical Probability
1 Asymptotic Analysis
1 Journal of Scientific Computing
1 International Journal of Mathematics
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Indagationes Mathematicae. New Series
1 Russian Mathematics
1 Applied Mathematics. Series B (English Edition)
1 Izvestiya: Mathematics
1 Discrete and Continuous Dynamical Systems
1 The Journal of Fourier Analysis and Applications
1 Doklady Mathematics
1 Mathematical Physics, Analysis and Geometry
1 Chaos
1 Acta Mathematica Sinica. English Series
1 Journal of High Energy Physics
1 Lobachevskii Journal of Mathematics
1 The ANZIAM Journal
1 Journal of Nonlinear Mathematical Physics
1 Differential Equations
1 Foundations of Computational Mathematics
1 Portugaliae Mathematica. Nova Série
1 Communications on Pure and Applied Analysis
1 Central European Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Frontiers of Mathematics in China
1 Advances in Mathematical Physics
1 Science China. Mathematics
all top 5

Cited in 47 Fields

169 Quantum theory (81-XX)
97 Differential geometry (53-XX)
83 Partial differential equations (35-XX)
70 Nonassociative rings and algebras (17-XX)
67 Dynamical systems and ergodic theory (37-XX)
58 Global analysis, analysis on manifolds (58-XX)
37 Operator theory (47-XX)
30 Functional analysis (46-XX)
26 Topological groups, Lie groups (22-XX)
24 Ordinary differential equations (34-XX)
23 Associative rings and algebras (16-XX)
23 Mechanics of particles and systems (70-XX)
21 Special functions (33-XX)
16 Optics, electromagnetic theory (78-XX)
14 Statistical mechanics, structure of matter (82-XX)
11 Algebraic geometry (14-XX)
7 Group theory and generalizations (20-XX)
5 Convex and discrete geometry (52-XX)
5 Numerical analysis (65-XX)
4 Commutative algebra (13-XX)
4 Category theory; homological algebra (18-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Fluid mechanics (76-XX)
4 Relativity and gravitational theory (83-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Approximations and expansions (41-XX)
3 Abstract harmonic analysis (43-XX)
3 Integral equations (45-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 Number theory (11-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 Computer science (68-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Difference and functional equations (39-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year