# Semirelativistic Bound-State Equations: Trivial Considerations

@inproceedings{Lucha2014SemirelativisticBE, title={Semirelativistic Bound-State Equations: Trivial Considerations}, author={Wolfgang Lucha and Franz F. Schoberl}, year={2014} }

Observing renewed interest in long-standing (semi-) relativistic descriptions of two-body 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 Hulthen potential, recall elementary tools that, in their quest, practitioners looking for analytic albeit approximate solutions will find useful.

## 7 Citations

Semirelativistic Bound States: (Pseudo-) Spinless-Salpeter Approaches Reassessed

- Physics
- 2019

Relativistic quantum field theory offers, in form of the homogeneous Bethe-Salpeter framework, a (Poincare-covariant) description of bound states in terms of their underlying theory's fundamental…

The spinless relativistic Hellmann problem

- PhysicsInternational Journal of Modern Physics A
- 2019

We compile some easily deducible information on the discrete eigenvalue spectra of spinless Salpeter equations encompassing, besides a relativistic kinetic term, interactions which are expressible as…

Higher order Schrodinger and Hartree-Fock equations

- Physics
- 2015

The domain of validity of the higher-order Schrodinger equations is analyzed for harmonic-oscillator and Coulomb potentials as typical examples. Then, the Cauchy theory for higher-order Hartree–Fock…

Relativistic two fermion treatment of hyperfine transitions

- Physics
- 2014

A system of two fermions with different masses and interacting by the Coulomb potential is presented in a completely covariant framework. The spin–spin interaction, including the anomalous magnetic…

Normalized solutions of higher-order Schrödinger equations

- Computer Science, MathematicsDiscrete & Continuous Dynamical Systems - A
- 2019

The existence of non-trivial solutions for the following equation is considered and it is shown that problem (1) admits at least a solution provided that in the case of J being odd, the solution is small.

The Spinless Relativistic Kink-Like Problem

- Mathematics
- 2014

We constrain the possible bound-state solutions of the spinless Salpeter equation (the most obvious semirelativistic generalization of the nonrelativistic Schr\"odinger equation) with an interaction…

The Spinless Relativistic Yukawa Problem

- Physics
- 2014

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,…

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