English

Multiplicity of the lowest eigenvalue of non-commuatative harmonic oscillators

Spectral Theory 2012-07-18 v1

Abstract

The multiplicity of the lowest eigenvalue E of the so-called non-commutative harmonic oscillator Q(\alpha,\beta) is studied. It is shown that E is simple for \alpha and \beta in some region.

Keywords

Cite

@article{arxiv.1207.4060,
  title  = {Multiplicity of the lowest eigenvalue of non-commuatative harmonic oscillators},
  author = {Fumio Hiroshima and Itaru Sasaki},
  journal= {arXiv preprint arXiv:1207.4060},
  year   = {2012}
}