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$L^p$-Spectrum of the Schrödinger Operator with Inverted Harmonic Oscillator Potential

arXiv:1707.06794 · doi:10.1063/1.4997418

Abstract

We determine the $L^p$-spectrum of the Schrödinger operator with the inverted harmonic oscillator potential $V(x)=-x^2$ for $1 \leq p \leq \infty$.

11 pages, LaTeX, typo corrected (published version)