arXiv:quant-ph/9910051·v1·Quantum Physics
Barrier Penetration for Supersymmetric Shape-Invariant Potentials
A.N.F. Aleixo (1 and 2)🇺🇸 · A.B. Balantekin (1)🇺🇸 · M.A. Candido Ribeiro (3) ((1) Physics Department, University of Wisconsin-Madison; (2) Instituto de Fisica, Universidade Federal do Rio de Janeiro, (3) Departamento de Fisica - Instituto de Biociencias, UNESP, Sao Jose do Rio Preto, SP, Brazil)🇧🇷
Abstract
Exact reflection and transmission coefficients for supersymmetric shape-invariant potentials barriers are calculated by an analytical continuation of the asymptotic wave functions obtained via the introduction of new generalized ladder operators. The general form of the wave function is obtained by the use of the F-matrix formalism of Froman and Froman which is related to the evolution of asymptotic wave function coefficients.