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arXiv · 1103.3692

Extended WKB method, resonances and supersymmetric radial barriers

Nicolas Fernandez-Garcia·Oscar Rosas-Ortiz
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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 t/T<<8, with t the period of a classical particle in the barrier trap and T 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.

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Nicolas Fernandez-Garcia, Oscar Rosas-Ortiz. 2011-03-18. Extended WKB method, resonances and supersymmetric radial barriers. https://doi.org/10.1007/s10773-010-0569-x

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