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Barrier penetration for supersymmetric shape-invariant potentials

A N F Aleixo-+,++, A B Balantekin-+ and M A Cândido Ribeiro§

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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.


PACS

03.65.Xp Tunneling, traversal time, quantum Zeno dynamics

03.65.Ca Formalism

MSC

81Q60 Supersymmetric quantum mechanics

Subjects

Quantum information and quantum mechanics

Dates

Issue 8 (3 March 2000)

Received 14 October 1999



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