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Marikhin Vladimir Georgievich

Publications in Math-Net.Ru

  1. Quasi-Stäckel Hamiltonians and electron dynamics in an external field in the two-dimensional case

    TMF, 199:2 (2019),  210–217
  2. Hermite quasi-polynomials

    Uspekhi Mat. Nauk, 73:5(443) (2018),  191–192
  3. Calculation of the discrete spectrum of some two-dimensional Schrödinger equations with a magnetic field

    TMF, 197:3 (2018),  464–474
  4. On some integrable cases of the two-dimensional motion of a charged particle in an electromagnetic field

    Pis'ma v Zh. Èksper. Teoret. Fiz., 106:9 (2017),  577–580
  5. Two new integrable cases of two-dimensional quantum mechanics with a magnetic field

    Pis'ma v Zh. Èksper. Teoret. Fiz., 103:7 (2016),  552–556
  6. Three-dimensional lattice of Bäcklund transformations of integrable cases of the Davey–Stewartson system

    TMF, 189:3 (2016),  362–370
  7. Action as an invariant of Bäcklund transformations for Lagrangian systems

    TMF, 184:1 (2015),  71–78
  8. On the two-dimensional classical motion of a charged particle in an electromagnetic field with an additional quadratic integral of motion

    Pis'ma v Zh. Èksper. Teoret. Fiz., 97:7 (2013),  491–495
  9. Quasi-Stäckel systems and two-dimensional Schrödinger equations in an electromagnetic field

    TMF, 177:1 (2013),  83–92
  10. Quantum tops as examples of commuting differential operators

    TMF, 172:3 (2012),  355–374
  11. On a two-dimensional Schrödinger equation with a magnetic field with an additional quadratic integral of motion

    Pis'ma v Zh. Èksper. Teoret. Fiz., 94:3 (2011),  262–266
  12. Solutions of two-dimensional Schrödinger-type equations in a magnetic field

    TMF, 168:2 (2011),  219–226
  13. Transformation of a pair of commuting Hamiltonians quadratic in momenta to canonical form and real partial separation of variables for the Clebsch top

    Regul. Chaotic Dyn., 15:6 (2010),  652–658
  14. Some integral equations related to random Gaussian processes

    TMF, 164:2 (2010),  196–206
  15. The dressing method and separation of variables: The two-dimensional case

    TMF, 161:3 (2009),  327–331
  16. On the reduction of the pair of hamiltonians quadratic in momenta to canonic form and real partial separation of variables for the Clebsch top

    Nelin. Dinam., 4:3 (2008),  313–322
  17. Pairs of commuting Hamiltonians quadratic in the momenta

    TMF, 149:2 (2006),  147–160
  18. Lax representations for triplets of two-dimensional scalar fields of the chiral type

    TMF, 148:2 (2006),  189–205
  19. Separation of variables on non-hiperelliptic curve

    Nelin. Dinam., 1:1 (2005),  53–67
  20. Separation of variables on a non-hyperelliptic curve

    Regul. Chaotic Dyn., 10:1 (2005),  59–70
  21. On quasi-Stäckel Hamiltonians

    Uspekhi Mat. Nauk, 60:5(365) (2005),  175–176
  22. Electron-level dynamics in the presence of impurities and the Ruijsenaars-Schneider model

    Pis'ma v Zh. Èksper. Teoret. Fiz., 77:1 (2003),  48–50
  23. Lagrangian Chains and Canonical Bäcklund Transformations

    TMF, 129:2 (2001),  163–183
  24. Coulomb Gas Representation for Rational Solutions of the Painlevé Equations

    TMF, 127:2 (2001),  284–303
  25. Integrable lattices

    TMF, 118:2 (1999),  217–228


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