Extended WKB method, resonances and supersymmetric radial barriers

Details Extended WKB method, resonances and supersymmetric radial barriers Extended WKB method, resonances and supersymmetric radial barriers

2011-03-18

arxiv.org/abs/1103.3692v1

Int. J. Theor. Phys. 50 (2011) 2057-2066

Physics

Quantum Physics

12 pages, 4 figures, 3 tables

Scientific paper

10.1007/s10773-010-0569-x

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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