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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations Quantum Simulation

The Scattering amplitude for Rationally extended shape invariant Eckart potentials

arXiv
Authors: Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandal

Year

2013

Paper ID

32510

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

N/A

Abstract

We consider the rationally extended exactly solvable Eckart potentials which exhibit extended shape invariance property. These potentials are isospectral to the conventional Eckart potential. The scattering amplitude for these rationally ex- tended potentials is calculated analytically for the generalized mth m = 1, 2, 3, ... case by considering the asymptotic behavior of the scattering state wave functions which are written in terms of some new polynomials related to the Jacobi polyno- mials. As expected, in the m = 0 limit, this scattering amplitude goes over to the scattering amplitude for the conventional Eckart potential.

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  • We consider the rationally extended exactly solvable Eckart potentials which exhibit extended shape invariance property.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.6755 [2] arXiv https://arxiv.org/abs/1309.6755 [3] Publisher https://arxiv.org/abs/1309.6755

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