Relativistic extension of shape-invariant potentials

2001/11/13 by A. D. Alhaidari · 4 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.1088/0305-4470/34/46/306

published as J.Phys.A34:9827,2002; Erratum-ibid.35:6207,2002 · Corrigendum: The last statement above equation (1) is now corrected and replaced by two new statements

openalex publication_date 2001/11/13 · arxiv created 2002/03/05 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

Citations

• Supersymmetry and Quantum Mechanics

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