Relativistic extension of shape-invariant potentials

Abdulaziz D. Alhaidari

doi:10.1088/0305-4470/34/46/306

Relativistic extension of shape-invariant potentials

Abdulaziz D. Alhaidari^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

71 Scopus citations

Abstract

The Dirac equation for a charged spinor in an electromagnetic field is written for special cases of spherically symmetric potentials. This facilitates the introduction of relativistic extensions of shape-invariant potential classes. We obtain the relativistic spectra and spinor wavefunctions for all potentials in one of these classes. The nonrelativistic limit reproduces the usual Rosen-Mörse I and II, Eckart, Pöschl-Teller and Scarf potentials.

Original language	English
Pages (from-to)	9827-9833
Number of pages	7
Journal	Journal of Physics A: Mathematical and General
Volume	34
Issue number	46
DOIs	https://doi.org/10.1088/0305-4470/34/46/306
State	Published - 23 Nov 2001

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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Cite this

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title = "Relativistic extension of shape-invariant potentials",

abstract = "The Dirac equation for a charged spinor in an electromagnetic field is written for special cases of spherically symmetric potentials. This facilitates the introduction of relativistic extensions of shape-invariant potential classes. We obtain the relativistic spectra and spinor wavefunctions for all potentials in one of these classes. The nonrelativistic limit reproduces the usual Rosen-M{\"o}rse I and II, Eckart, P{\"o}schl-Teller and Scarf potentials.",

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AU - Alhaidari, Abdulaziz D.

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N2 - The Dirac equation for a charged spinor in an electromagnetic field is written for special cases of spherically symmetric potentials. This facilitates the introduction of relativistic extensions of shape-invariant potential classes. We obtain the relativistic spectra and spinor wavefunctions for all potentials in one of these classes. The nonrelativistic limit reproduces the usual Rosen-Mörse I and II, Eckart, Pöschl-Teller and Scarf potentials.

AB - The Dirac equation for a charged spinor in an electromagnetic field is written for special cases of spherically symmetric potentials. This facilitates the introduction of relativistic extensions of shape-invariant potential classes. We obtain the relativistic spectra and spinor wavefunctions for all potentials in one of these classes. The nonrelativistic limit reproduces the usual Rosen-Mörse I and II, Eckart, Pöschl-Teller and Scarf potentials.

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U2 - 10.1088/0305-4470/34/46/306

DO - 10.1088/0305-4470/34/46/306

M3 - Article

AN - SCOPUS:0035941172

SN - 0305-4470

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SP - 9827

EP - 9833

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 46

ER -

Relativistic extension of shape-invariant potentials

Abstract

ASJC Scopus subject areas

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