The Spinless Relativistic Hellmann Problem

Abstract

We compile some easily deducible information on the discrete eigenvalue spectra of spinless Salpeter equations encompassing, besides a relativistic kinetic term, interactions which are expressible as superpositions of an attractive Coulomb potential and an either attractive or repulsive Yukawa potential and, hence, generalizations of the Hellmann potential employed in several areas of science. These insights should provide useful guidelines to all attempts of finding appropriate descriptions of bound states by (semi-) relativistic equations of motion.

arXiv comment10 pages, 1 figure

References in corpus (10)

• Semirelativistic Treatment of Bound States
• Relativistic Coulomb Problem: Analytic Upper Bounds on Energy Levels
• Spectral bounds for the Hellmann potential
• The Spinless Relativistic Woods-Saxon Problem
• Bound States by the Spinless Salpeter Equation
• The One-Dimensional Spinless Relativistic Coulomb Problem
• The Spinless Relativistic Hulthén Problem
• The Spinless Relativistic Yukawa Problem
• The Spinless Relativistic Kink-Like Problem
• Analytical Solution of two-body spinless Salpeter Equation for Hellmann Potential

Cited by in corpus (2)

• Semirelativistic Potential Modelling of Bound States: Advocating Due Rigour
• Bethe-Salpeter Bound-State Solutions: Examining Semirelativistic Approaches