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The spinless relativistic Yukawa problem

2014/10/20 by Wolfgang Lucha, Franz F. Schöberl
Mathematics · Physics and Astronomy · #Bound state #Equation of state #Mathematical physics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum electrodynamics #Quantum mechanics #Relativistic quantum chemistry #Spectral line #Spin (aerodynamics) #State (computer science) #Theoretical physics #Thermodynamics #Topological Materials and Phenomena #Yukawa potential #hep-ph #math-ph #math.MP #nucl-th #quant-ph

paper · pdf · doi:10.1142/s0217751x14501954

published as Int. J. Mod. Phys. A 29 (2014) 1450195 · 10 pages

arxiv created 2014/10/20 · arxiv updated 2014/12/11 · openalex publication_date 2014/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 toward 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.

Citations