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Barrier penetration for supersymmetric shape-invariant potentials

A N F Aleixo et al 2000 J. Phys. A: Math. Gen. 33 1503-1518   doi: 10.1088/0305-4470/33/8/302  Help

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A N F Aleixo-+++, A B Balantekin-+ and M A Cândido Ribeiro§
-+ Department of Physics, University of Wisconsin, Madison, WI 53706, USA
++ Instituto de Física, Universidade Federal do Rio de Janeiro, RJ, Brazil
§ Departamento de Física, Instituto de Biociências, Letras e Ciências Exatas, UNESP, São José do Rio Preto, SP, Brazil
E-mail: aleixo@nucth.physics.wisc.edu, baha@nucth.physics.wisc.edu and macr@df.ibilce.unesp.br

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 (-infty ,+infty )-matrix formalism of Fröman and Fröman which is related to the evolution of asymptotic wavefunction coefficients.

Print publication: Issue 8 (3 March 2000)
Received 14 October 1999

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