English

The power-law and the logarithmic potentials

Mathematical Physics 2009-11-07 v1 math.MP

Abstract

In this study, we show that the energy eigenvalues and the eigenfunctions of the Schrodinger equation for the power-law and the logarithmic potential can be easily obtained by using variation technique for special type wave functions. The results are in very good agreement with exact numerical results.

Keywords

Cite

@article{arxiv.math-ph/0212072,
  title  = {The power-law and the logarithmic potentials},
  author = {Hakan Ciftci and Engin Ateser and Hueyin Koru},
  journal= {arXiv preprint arXiv:math-ph/0212072},
  year   = {2009}
}

Comments

13 pages, 5 figures