The spinless relativistic Hellmann problem

DOI10.1142/S0217751X19500283zbMath1409.81182arXiv1812.10756OpenAlexW2906843944MaRDI QIDQ4627679

Wolfgang Lucha, Franz F. Schöberl

Publication date: 11 March 2019

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10756

zbMATH Keywords

critical parametersrelativistic bound statesspinless Salpeter equationBethe-Salpeter formalismRayleigh-Ritz variational techniquegeneralized-Hellmann potentials

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Atomic physics (81V45) Special relativity (83A05) Molecular physics (81V55) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

Cites Work

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• Semi-relativistic stability and critical mass of a system of spinless bosons in gravitational interaction
• An uncertainty principle for fermions with generalized kinetic energy
• The one-dimensional spinless relativistic Coulomb problem
• Relativistic virial theorem
• The spinless relativistic Hulthén problem
• Bound States in Quantum Field Theory
• A Relativistic Equation for Bound-State Problems
• On the Number of Bound States in a Central Field of Force
• Spectral bounds for the Hellmann potential

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