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Spin and pseudospin symmetries in relativistic trigonometric Pöschl-teller potential with centrifugal barrier
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0003-0149-341X
2012 (English)In: International Journal of Modern Physics E, ISSN 0218-3013, Vol. 21, no 12, 1250097- p.Article in journal (Refereed) Published
Abstract [en]

Approximate analytical solutions of the Dirac equation with the trigonometric Pöschl-Teller (tPT) potential are obtained for arbitrary spin-orbit quantum number κ using an approximation scheme to deal with the spin-orbit coupling terms κ(κ±1)r-2. In the presence of exact spin and pseudo-spin (p-spin) symmetric limitation, the bound state energy eigenvalues and the corresponding two-component wave functions of the Dirac particle moving in the field of attractive and repulsive tPT potential are obtained using the parametric generalization of the Nikiforov-Uvarov (NU) method. The case of nonrelativistic limit is studied too.

Place, publisher, year, edition, pages
2012. Vol. 21, no 12, 1250097- p.
Keyword [en]
approximation schemes, Dirac equation, NU method, spin and p-spin symmetry, trigonometric Pöschl-Teller (tPT) potential
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Other Physics Topics
URN: urn:nbn:se:kth:diva-116831DOI: 10.1142/S0218301312500978ISI: 000313425900004ScopusID: 2-s2.0-84872189746OAI: diva2:601328

QC 20130129

Available from: 2013-01-29 Created: 2013-01-28 Last updated: 2013-02-11Bibliographically approved

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Thylwe, Karl-Erik
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