The Spinless Relativistic Hulthén Problem

Abstract

The spinless Salpeter equation can be regarded as the eigenvalue equation of a Hamiltonian that involves the relativistic kinetic energy and therefore is, in general, a nonlocal operator. Accordingly, it is hard to find solutions of this bound-state equation by exclusively analytic means. Nevertheless, a lot of tools enables us to constrain the resulting bound-state spectra rigorously. We illustrate some of these techniques for the example of the Hulthén potential.

8 pages

References in corpus (7)

• Solving the Schroedinger equation for bound states with Mathematica 3.0
• Semirelativistic Treatment of Bound States
• Relativistic Coulomb Problem: Analytic Upper Bounds on Energy Levels
• Bound-States of the Spinless Salpeter Equation for the PT-Symmetric Generalized Hulthen Potential by the Nikiforov-Uvarov Method
• Quality of Variational Trial States
• The Spinless Relativistic Woods-Saxon Problem
• Accuracy of Approximate Eigenstates

Cited by in corpus (7)

• Nonrelativistic Treatment of Fully-Heavy Tetraquarks as Diquark-Antidiquark States
• The Spinless Relativistic Yukawa Problem
• The Spinless Relativistic Kink-Like Problem
• The Spinless Relativistic Hellmann Problem
• Goldstonic pseudoscalar mesons in Bethe-Salpeter-inspired setting
• Semirelativistic Potential Modelling of Bound States: Advocating Due Rigour
• Bethe-Salpeter Bound-State Solutions: Examining Semirelativistic Approaches