Semirelativistic Bound-State Equations: Trivial Considerations

Abstract

Observing renewed interest in long-standing (semi-) relativistic descriptions of bound states, we would like to make a few comments on the eigenvalue problem posed by the spinless Salpeter equation and, illustrated by the examples of the nonsingular Woods-Saxon potential and the singular Hulthén potential, recall elementary tools that practitioners looking for analytic albeit approximate solutions might find useful in their quest.

5 pages, contributed to "QCD@Work 2014 - International Workshop on Quantum Chromodynamics: Theory and Experiment" (16 - 19 June 2014, Giovinazzo, Bari, Italy)

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Cited by in corpus (5)

• Higher order Schrodinger and Hartree-Fock equations
• Relativistic two fermion treatment of hyperfine transitions
• Triply-heavy/strange baryons with Cornell potential on a quantum computer
• Semirelativistic Potential Modelling of Bound States: Advocating Due Rigour
• Bethe-Salpeter Bound-State Solutions: Examining Semirelativistic Approaches