Improved WKB approximation for quantum tunneling: Application to heavy ion fusion
Europ. Phys. Journal A, 53, (2017) 34 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 ra...
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09-02-2017
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| Abstract | Europ. Phys. Journal A, 53, (2017) 34 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. |
|---|---|
| AbstractList | Europ. Phys. Journal A, 53, (2017) 34 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. |
| Author | Hussein, M. S Toubiana, A. J Canto, L. F |
| Author_xml | – sequence: 1 givenname: A. J surname: Toubiana fullname: Toubiana, A. J – sequence: 2 givenname: L. F surname: Canto fullname: Canto, L. F – sequence: 3 givenname: M. S surname: Hussein fullname: Hussein, M. S |
| BackLink | https://doi.org/10.48550/arXiv.1612.03014$$DView paper in arXiv https://doi.org/10.1140/epja/i2017-12225-6$$DView published paper (Access to full text may be restricted) |
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| Snippet | Europ. Phys. Journal A, 53, (2017) 34 In this paper we revisit the one-dimensional tunneling problem. We consider
Kemble's approximation for the transmission... |
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| SubjectTerms | Physics - Atomic Physics Physics - Nuclear Experiment Physics - Nuclear Theory |
| Title | Improved WKB approximation for quantum tunneling: Application to heavy ion fusion |
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