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Karasev, Mikhail Vladimirovich

Author ID: karasev.mikhail-vladimirovich Recent zbMATH articles by "Karasev, Mikhail Vladimirovich"
Published as: Karasev, M. V.; Karasev, Mikhail; Karasev, M.; Karasev, Mikhail V.; Karasev, Michael; Karasëv, M. V.; Karasev, Mikhail Vladimirovich

Publications by Year

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 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
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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. 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 Algebra
1 Journal of Differential Geometry
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
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 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 \(K\)-Theory
1 Revista Matemática Iberoamericana
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 St. Petersburg Mathematical Journal
1 Izvestiya: Mathematics
1 Discrete and Continuous Dynamical Systems
1 The Journal of Fourier Analysis and Applications
1 Transformation Groups
1 Doklady Mathematics
1 Mathematical Physics, Analysis and Geometry
1 Chaos
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 The ANZIAM Journal
1 Journal of Nonlinear Mathematical Physics
...and 13 more Serials
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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