# Analytical solution of two-body spinless Salpeter equation for Hellmann potential

@article{Arda2017AnalyticalSO, title={Analytical solution of two-body spinless Salpeter equation for Hellmann potential}, author={Altuḡ Arda}, journal={Indian Journal of Physics}, year={2017}, volume={91}, pages={903-907} }

Approximate bound state solutions of the spinless Salpeter equation for the Hellmann potential are studied for heavy particles. By using functional analysis method, an analytical expression for the energy levels, and the corresponding eigenfunctions of the system are obtained in terms of the hypergeometric functions. The analytical results for the Yukawa and Coulomb potentials are also studied as special cases.

## 4 Citations

### Approximate Scattering State Solutions of DKPE and SSE with Hellmann Potential

- PhysicsAdvances in High Energy Physics
- 2018

We study the approximate scattering state solutions of the Duffin-Kemmer-Petiau equation (DKPE) and the spinless Salpeter equation (SSE) with the Hellmann potential. The eigensolutions, scattering…

### 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…

### On an approximation of the two-body spinless Salpeter equation

- MathematicsThe European Physical Journal Plus
- 2018

Abstract.In recent years several published works have aimed at finding approximate analytical solutions of the two-body spinless Salpeter equation, starting from the approximation $\sqrt{p^{2}+m^{2}}…

### Investigating Some Diatomic Molecules Bounded by the Two-Dimensional Isotropic Oscillator plus Inverse Quadratic Potential in an External Magnetic Field

- PhysicsAdvances in High Energy Physics
- 2022

We investigate the nonrelativistic magnetic effect on the energy spectra, expectation values of some quantum mechanical observables, and diamagnetic susceptibility for some diatomic molecules bounded…

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