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Supersymmetric Approach to Excited States

Bittner, Eric R ; Maddox, Jeremy B ; Kouri, Donald J

The journal of physical chemistry. A, Molecules, spectroscopy, kinetics, environment, & general theory, 2009-12, Vol.113 (52), p.15276-15280 [Periódico revisado por pares]

United States: American Chemical Society

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  • Título:
    Supersymmetric Approach to Excited States
  • Autor: Bittner, Eric R ; Maddox, Jeremy B ; Kouri, Donald J
  • É parte de: The journal of physical chemistry. A, Molecules, spectroscopy, kinetics, environment, & general theory, 2009-12, Vol.113 (52), p.15276-15280
  • Notas: ObjectType-Article-1
    SourceType-Scholarly Journals-1
    ObjectType-Feature-2
    content type line 23
  • Descrição: We present here a supersymmetric (SUSY) approach for determining excitation energies within the context of a quantum Monte Carlo scheme. By using the fact that SUSY quantum mechanics gives rises to a series of isospectral Hamiltonians, we show that Monte Carlo ground-state calculations in the SUSY partners can be used to reconstruct accurately both the spectrum and states of an arbitrary Schrödinger equation. Since the ground state of each partner potential is nodeless, we avoid any “node” problem typically associated with the Monte Carlo technique. Although we provide an example of using this approach to determine the tunneling states in a double-well potential, the method is applicable to any 1D potential problem. We conclude by discussing the extension to higher dimensions.
  • Editor: United States: American Chemical Society
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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