Improved WKB approximation for quantum tunneling: Application to heavy ion fusion

In this paper we revisit the one-dimensional tunneling problem. We consider Kemble's approximation for the transmission coefficient. We show how this approximation can be extended to above-barrier energies by performing the analytical continuation of the radial coordinate to the complex plane....

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Published in:arXiv.org 2017-02
Main Authors: Toubiana, A J, Canto, L F, Hussein, M S
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Language:English
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Approximation
Heavy ions
Mathematical analysis
Quantum mechanics
Quantum tunnelling
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Canto, L F
Hussein, M S
description In this paper we revisit the one-dimensional tunneling problem. We consider Kemble's approximation for the transmission coefficient. We show how this approximation can be extended to above-barrier energies by performing the analytical continuation of the radial coordinate to the complex plane. We investigate the validity of this approximation by comparing their predictions for the cross section and for the barrier distribution with the corresponding quantum mechanical results. We find that the extended Kemble's approximation reproduces the results of quantum mechanics with great accuracy.
doi_str_mv 10.48550/arxiv.1612.03014
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subjects Approximation
Heavy ions
Mathematical analysis
Quantum mechanics
Quantum tunnelling
title Improved WKB approximation for quantum tunneling: Application to heavy ion fusion
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