Analytical Solution of two-body spinless Salpeter Equation for Hellmann Potential

Altug Arda

doi:10.1007/s12648-017-0988-0

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arXiv · 1701.01336

Analytical Solution of two-body spinless Salpeter Equation for Hellmann Potential

Altug Arda

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Abstract

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.

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Altug Arda. 2017-01-04. Analytical Solution of two-body spinless Salpeter Equation for Hellmann Potential. https://doi.org/10.1007/s12648-017-0988-0

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