English

Comparing energy levels in isotropic and anisotropic potentials

Quantum Physics 2015-10-02 v1

Abstract

Qualitative information about the quantized energy levels of a system can be of great value. We study the relationship between the bound-state energies of an anisotropic potential and those of its spherical average. It is shown that the two ground-state energies satisfy an inequality, and there is a similar inequality for the first excited states.

Keywords

Cite

@article{arxiv.1506.08429,
  title  = {Comparing energy levels in isotropic and anisotropic potentials},
  author = {Alexander Pikovski},
  journal= {arXiv preprint arXiv:1506.08429},
  year   = {2015}
}

Comments

3 pages

R2 v1 2026-06-22T10:01:41.207Z