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Karasev Mihail Vladimirovich

Publications in Math-Net.Ru

  1. Algebra of Symmetries of Three-Frequency Resonance: Reduction of a Reducible Case to an Irreducible Case

    Mat. Zametki, 104:6 (2018),  833–847
  2. Instantons via Breaking Geometric Symmetry in Hyperbolic Traps

    Mat. Zametki, 102:6 (2017),  776–786
  3. Non-Lie Top Tunneling and Quantum Bilocalization in Planar Penning Trap

    Mat. Zametki, 100:6 (2016),  807–819
  4. Eigenstates of the quantum Penning–Ioffe nanotrap at resonance

    TMF, 179:3 (2014),  406–425
  5. Algebra and quantum geometry of multifrequency resonance

    Izv. RAN. Ser. Mat., 74:6 (2010),  55–106
  6. Dynamical equations for the quantum product on a symplectic space in affine coordinates

    Mat. Zametki, 77:1 (2005),  42–52
  7. Algebra with polynomial commutation relations for the Zeeman–Stark effect in the hydrogen atom

    TMF, 142:3 (2005),  530–555
  8. Algebra with polynomial commutation relations for the Zeeman effect in the Coulomb–Dirac field

    TMF, 142:1 (2005),  127–147
  9. Algebra with Quadratic Commutation Relations for an Axially Perturbed Coulomb–Dirac Field

    TMF, 141:3 (2004),  424–454
  10. Asymptotic solutions for Hartree equations and logarithmic obstructions for higher corrections of semiclassical approximation

    Trudy Inst. Mat. i Mekh. UrO RAN, 9:1 (2003),  102–106
  11. Nonlinear Commutation Relations: Representations by Point-Supported Operators

    Mat. Zametki, 72:1 (2002),  54–73
  12. Asymptotic solutions of Hartree equations concentrated near low-dimensional submanifolds. II. Localization in planar discs

    Izv. RAN. Ser. Mat., 65:6 (2001),  57–98
  13. Asymptotic solutions of Hartree equations concentrated near low-dimensional submanifolds. I. The model with logarithmic singularity

    Izv. RAN. Ser. Mat., 65:5 (2001),  33–72
  14. Coherent Transforms and Irreducible Representations Corresponding to Complex Structures on a Cylinder and on a Torus

    Mat. Zametki, 70:6 (2001),  854–874
  15. Representation of the evolution operator via membrane amplitudes

    Mat. Zametki, 60:6 (1996),  930–934
  16. Representation of exact and semiclassical eigenfunctions via coherent states. Hydrogen atom in a magnetic field

    TMF, 108:3 (1996),  339–387
  17. Turning points, phase shifts, and quantization rules in ordinary differential equations with a local rapidly decreasing nonlinearity

    Tr. Mosk. Mat. Obs., 56 (1995),  107–176
  18. Floquet solutions for Hamiltonians over su(2) from the point of view of symplectic geometry and coherent states

    Algebra i Analiz, 6:5 (1994),  231–251
  19. Representations of Compact Semisimple Lie Algebras over Lagrangian Submanifolds

    Funktsional. Anal. i Prilozhen., 28:4 (1994),  16–27
  20. Quadratic Poisson brackets in the Zeeman effect. Irreducible representations and coherent states

    Uspekhi Mat. Nauk, 49:5(299) (1994),  169–170
  21. On connection formulas for the second Painleve transcendent. Proof of the Miles conjecture, and a quantization rule

    Izv. RAN. Ser. Mat., 57:3 (1993),  92–151
  22. Logarithmic corrections in a quantization rule. The polaron spectrum

    TMF, 97:1 (1993),  78–93
  23. Quasimodes generated by the characters of a dynamical group and deformation of the Kirillov form

    Funktsional. Anal. i Prilozhen., 26:1 (1992),  71–73
  24. One-dimensional equations of a self-consistent field with cubic nonlinearity in quasiclassical approximation

    Mat. Zametki, 52:2 (1992),  66–82
  25. Asymptotics of the solution of the Cauchy problem for the one-dimensional Schrödinger equation

    Mat. Zametki, 51:1 (1992),  156–159
  26. New global asymptotics and anomalies for the problem of quantization of the adiabatic invariant

    Funktsional. Anal. i Prilozhen., 24:2 (1990),  24–36
  27. Non-Lie permutation relations

    Uspekhi Mat. Nauk, 45:5(275) (1990),  41–79
  28. Plane poisson manifolds and finite-dimensional pseudogroups

    Mat. Zametki, 45:3 (1989),  53–65
  29. Quantization rule for self-consistent field equations with local rapidly decreasing nonlinearity

    TMF, 79:2 (1989),  198–208
  30. Connections on Lagrangian submanifolds and some problems of the quasiclassical approximation. I

    Zap. Nauchn. Sem. LOMI, 172 (1989),  41–54
  31. Poisson manifolds and the schouten bracket

    Funktsional. Anal. i Prilozhen., 22:1 (1988),  1–11
  32. Corrections to the classical dynamics and to the quantization conditions arising in the deformation of Poisson brackets

    Dokl. Akad. Nauk SSSR, 297:6 (1987),  1294–1298
  33. Lagrangian rings. Multiscale asymptotics of a spectrum near resonance

    Funktsional. Anal. i Prilozhen., 21:1 (1987),  78–79
  34. Hidden symmetry of a system of equations of nonlinear optics. Hysteresis

    Dokl. Akad. Nauk SSSR, 286:4 (1986),  852–856
  35. Poisson symmetry algebras and the asymptotics of spectral series

    Funktsional. Anal. i Prilozhen., 20:1 (1986),  21–32
  36. Analogues of the objects of Lie group theory for nonlinear Poisson brackets

    Izv. Akad. Nauk SSSR Ser. Mat., 50:3 (1986),  508–538
  37. Mathematical theory of holographic memory

    Dokl. Akad. Nauk SSSR, 282:5 (1985),  1055–1058
  38. Resonance frequencies of valves in optic media with spatial dispersion

    Dokl. Akad. Nauk SSSR, 281:5 (1985),  1085–1088
  39. Asymptotics of the eigenvalues of operators with a poisson algebra of symmetries in the highest symbol

    Funktsional. Anal. i Prilozhen., 18:2 (1984),  65–66
  40. Asymptotic and geometric quantization

    Uspekhi Mat. Nauk, 39:6(240) (1984),  115–173
  41. Asymptotic behavior of the spectrum of mixed states for self-consistent field equations

    TMF, 61:1 (1984),  118–127
  42. Pseudodifferential operators and a canonical operator in general symplectic manifolds

    Izv. Akad. Nauk SSSR Ser. Mat., 47:5 (1983),  999–1029
  43. Quantization of symplectic manifolds with conical points

    TMF, 53:3 (1982),  374–387
  44. Eigenfunctions of the Hartree–Fock equation that are not spherically symmetric

    TMF, 52:2 (1982),  263–269
  45. Global asymptotic operators of the regular representation

    Dokl. Akad. Nauk SSSR, 257:1 (1981),  33–38
  46. Operators of the regular representation for a class of non-Lie commutation relations

    Funktsional. Anal. i Prilozhen., 13:3 (1979),  89–90
  47. Algebras with general commutation relations and their applications. II. Operator unitary-nonlinear equations

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 13 (1979),  145–267
  48. Weyl and ordered calculus of noncommuting operators

    Mat. Zametki, 26:6 (1979),  885–907
  49. Quasiclassical soliton solutions of the Hartree equation. Newtonian interaction with screening

    TMF, 40:2 (1979),  235–244
  50. Quasi-classical soliton-type solutions of Hartry equations

    Zap. Nauchn. Sem. LOMI, 84 (1979),  108–113
  51. The asymptotic spectrum and oscillation front for operators with nonlinear commutation relations

    Dokl. Akad. Nauk SSSR, 243:1 (1978),  15–18
  52. On the quantization of rapidly oscillating symbols

    Mat. Sb. (N.S.), 106(148):2(6) (1978),  183–213
  53. Path integral and quasiclassical asymptotic behavior on a Lie group

    TMF, 31:1 (1977),  41–47
  54. On the theory of the path integral

    Uspekhi Mat. Nauk, 31:2(188) (1976),  213–214
  55. Infinite products and $T$ products of exponentials

    TMF, 28:2 (1976),  189–200
  56. Formulas for functions of ordered operators

    Mat. Zametki, 18:2 (1975),  267–277
  57. Expansion of functions of noncommuting operators

    Dokl. Akad. Nauk SSSR, 214:6 (1974),  1254–1257
  58. Calculus of ordered operators on a factor algebra

    Mat. Zametki, 15:5 (1974),  775–786
  59. On the perturbation of the quasilevels of a Schrödinger operator with complex potential

    TMF, 9:2 (1971),  252–263

  60. Boris Vasil'evich Fedosov (obituary)

    Uspekhi Mat. Nauk, 67:1(403) (2012),  169–176
  61. Fiftieth anniversary of research and teaching by Viktor Pavlovich Maslov

    TMF, 155:2 (2008),  197–201

© Steklov Math. Inst. of RAS, 2025