The Spinless Relativistic Yukawa Problem

Abstract

Noticing renewed or increasing interest in the possibility to describe semirelativistic bound states (of either spin-zero constituents or, upon confining oneself to spin-averaged features, constituents with nonzero spin) by means of the spinless Salpeter equation generalizing the Schrödinger equation towards incorporation of effects caused by relativistic kinematics, we revisit this problem for interactions between bound-state constituents of Yukawa shape, by recalling and applying several well-known tools enabling to constrain the resulting spectra.

10 pages

References in corpus (16)

• Solving the Schroedinger equation for bound states with Mathematica 3.0
• Semirelativistic Treatment of Bound States
• Spinless Salpeter Equation: Laguerre Bounds on Energy Levels
• Energy bounds for the spinless Salpeter equation: harmonic oscillator
• Discrete Spectra of Semirelativistic Hamiltonians
• Discrete spectra of semirelativistic Hamiltonians from envelope theory
• Quality of Variational Trial States
• Energy bounds for the spinless Salpeter equation
• Relativistic Coulomb Problem: Energy Levels at the Critical Coupling Constant Analytically
• The Spinless Relativistic Woods-Saxon Problem
• Convexity and potential sums for Salpeter-like Hamiltonians
• All Around the Spinless Salpeter Equation
• Accuracy of Approximate Eigenstates
• Bound States by the Spinless Salpeter Equation
• A semirelativistic treatment of spinless particles subject to the Yukawa potential with arbitrary angular momenta
• The Spinless Relativistic Hulthén Problem

Cited by in corpus (5)

• 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