Barrier penetration for supersymmetric shape-invariant potentials

, and

Published under licence by IOP Publishing Ltd
, , Citation A N F Aleixo et al 2000 J. Phys. A: Math. Gen. 33 1503 DOI 10.1088/0305-4470/33/8/302

Download Article PDF

Article metrics

82 Total downloads

Share this article

Author affiliations

1 Department of Physics, University of Wisconsin, Madison, WI 53706, USA

2 Instituto de Física, Universidade Federal do Rio de Janeiro, RJ, Brazil

3 Departamento de Física, Instituto de Biociências, Letras e Ciências Exatas, UNESP, São José do Rio Preto, SP, Brazil

Dates

  1. Received 14 October 1999

Buy this article in print

0305-4470/33/8/1503

Abstract

Exact reflection and transmission coefficients for supersymmetric shape-invariant potentials barriers are calculated by an analytical continuation of the asymptotic wavefunctions obtained via the introduction of new generalized ladder operators. The general form of the wavefunction is obtained by the use of the F (- ,+ )-matrix formalism of Fröman and Fröman which is related to the evolution of asymptotic wavefunction coefficients.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue
10.1088/0305-4470/33/8/302