English

Analytic solutions to the problem of Coulomb and confining potentials

Quantum Physics 2007-05-23 v1

Abstract

The oscillator representation method is presented and used to calculate the energy spectra for a superposition of Coulomb and power-law potentials and for Coulomb and Yukawa potentials. The method provides an efficient way to obtain analytic results for arbitrary values of the parameters specifying the above-type potentials. The calculated energies of the ground and excited states of the quantum systems in question are found to comply well with exact results.

Keywords

Cite

@article{arxiv.quant-ph/9903032,
  title  = {Analytic solutions to the problem of Coulomb and confining potentials},
  author = {M. Dineykhan and R. G. Nazmitdinov},
  journal= {arXiv preprint arXiv:quant-ph/9903032},
  year   = {2007}
}

Comments

25 pages (Latex)

R2 v1 2026-07-22T20:05:42.940Z