• DocumentCode
    264482
  • Title

    Multidimensional tunneling between potential wells at non degenerate minima

  • Author

    Anikin, Anatoly ; Rouleux, Michel

  • Author_Institution
    Moscow Inst. of Phys. & Technol., Moscow, Russia
  • fYear
    2014
  • fDate
    26-30 May 2014
  • Firstpage
    17
  • Lastpage
    22
  • Abstract
    We consider tunneling between symmetric wells for a 2-D semi-classical Schrödinger operator for energies close to the quadratic minimum of the potential V in two cases: (1) excitations of the lowest frequency in the harmonic oscillator approximation of V; (2) more general excited states from Diophantine tori with comparable quantum numbers.
  • Keywords
    Schrodinger equation; excited states; harmonic oscillators; quantum theory; tunnelling; 2D semiclassical Schrodinger operator; Diophantine tori; excited states; harmonic oscillator approximation; multidimensional tunneling; nondegenerate minima; potential wells; quadratic minimum; quantum numbers; symmetric wells; Approximation methods; Diffraction; Eigenvalues and eigenfunctions; Harmonic analysis; Manifolds; Orbits; Tunneling;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Days on Diffraction (DD), 2014
  • Conference_Location
    St. Petersburg
  • Print_ISBN
    978-1-4799-7331-6
  • Type

    conf

  • DOI
    10.1109/DD.2014.7036416
  • Filename
    7036416