Relativistic shape invariant potentials

Abstract

Dirac equation for a charged spinor in 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-Morse I & II, Eckart, Poschl-Teller, and Scarf potentials.

Corrigendum: The last statement above equation (1) is now corrected and replaced by two new statements

References in corpus (1)

• Relativistic shape invariant potentials

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