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International Journal of Theoretical Physics

, Volume 50, Issue 7, pp 2057–2066 | Cite as

Extended WKB Method, Resonances and Supersymmetric Radial Barriers

  • Nicolás Fernández-García
  • Oscar Rosas-Ortiz
Article

Abstract

Semiclassical approximations are implemented in the calculation of position and width of low-energy resonances for radial barriers. The numerical integrations are delimited by τ/τ life≪8, with τ the period of a classical particle in the barrier trap and τ life the resonance lifetime. These energies are used in the construction of ‘haired’ short-range potentials as the supersymmetric partners of a given radial barrier. The new potentials could be useful in the study of the transient phenomena which give rise to the Moshinsky’s diffraction in time.

Keywords

Siegert states WKB method Supersymmetric quantum mechanics 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Nicolás Fernández-García
    • 1
  • Oscar Rosas-Ortiz
    • 2
  1. 1.Instituto de FísicaUNAMMéxico D.F.Mexico
  2. 2.Physics DepartmentCinvestavMéxico D.F.Mexico

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