The spinless relativistic Hulthén problem

DOI10.1142/S0217751X14501814zbMath1310.81057arXiv1408.4957MaRDI QIDQ5179463

Wolfgang Lucha, Franz F. Schöberl

Publication date: 20 March 2015

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

Full work available at URL: https://arxiv.org/abs/1408.4957

zbMATH Keywords

Hulthén potentialrelativistic bound statesspinless Salpeter equationBethe-Salpeter formalismRayleigh-Ritz variational techniquecritical potential parameters

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Variational principles of physics (49S05) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

Related Items (5)

Approximate scattering state solutions of DKPE and SSE with Hellmann potential ⋮ Higher-order Schrödinger and Hartree–Fock equations ⋮ The spinless relativistic kink-like problem ⋮ Goldstonic pseudoscalar mesons in Bethe–Salpeter-inspired setting ⋮ The spinless relativistic Hellmann problem

Cites Work

• Semi-relativistic stability and critical mass of a system of spinless bosons in gravitational interaction
• Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
• ARBITRARY l-WAVE SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE HULTHÉN POTENTIAL MODEL
• SEMIRELATIVISTIC TREATMENT OF BOUND STATES
• SOLVING THE SCHRÖDINGER EQUATION FOR BOUND STATES WITH MATHEMATICA 3.0
• ACCURACY OF APPROXIMATE EIGENSTATES
• 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

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