English

$L^p$-Spectrum of the Schr\"odinger Operator with Inverted Harmonic Oscillator Potential

Mathematical Physics 2017-09-29 v3 Functional Analysis math.MP Quantum Physics

Abstract

We determine the LpL^p-spectrum of the Schr\"odinger operator with the inverted harmonic oscillator potential V(x)=x2V(x)=-x^2 for 1p1 \leq p \leq \infty.

Keywords

Cite

@article{arxiv.1707.06794,
  title  = {$L^p$-Spectrum of the Schr\"odinger Operator with Inverted Harmonic Oscillator Potential},
  author = {Felix Finster and J. M. Isidro},
  journal= {arXiv preprint arXiv:1707.06794},
  year   = {2017}
}

Comments

11 pages, LaTeX, typo corrected (published version)