• DocumentCode
    2323415
  • Title

    Quantum dynamics on small stochastic background

  • Author

    Buslov, V.A.

  • Author_Institution
    Dept. of Math.& Computational Phys., St. Petersburg Univ., Russia
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    49
  • Lastpage
    79
  • Abstract
    The dynamics of a quantum particle performing Brownian motion at large (in comparison with diffusion) drift field is investigated. It is shown that time scaled dynamics with a spectral representation is governed by upper block triangular matrices with elements depending on the Hamiltonian at points of local minima of the drift field
  • Keywords
    Brownian motion; graph theory; matrix algebra; partial differential equations; quantum statistical mechanics; stochastic processes; Brownian motion; drift field; graph theory; quantum dynamics Hamiltonian; quantum particle dynamics; singular matrices; spectral representation; stochastic background; stochastic differential equation; time scaled dynamics; upper block triangular matrices; Algebra; Differential equations; Frequency; Laplace equations; Physics computing; Quantum computing; Stochastic processes; Stochastic resonance; Wave functions; White noise;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Day on Diffraction 2001. Proceedings. International Seminar
  • Conference_Location
    St.Petersburg
  • Print_ISBN
    5-7997-0366-9
  • Type

    conf

  • DOI
    10.1109/DD.2001.988457
  • Filename
    988457