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arxiv: 1707.06794 · v3 · pith:I5X2XWZDnew · submitted 2017-07-21 · 🧮 math-ph · math.FA· math.MP· quant-ph

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

Felix Finster , J.M. Isidro This is my paper
classification 🧮 math-ph math.FAmath.MPquant-ph
keywords harmonicinvertedodingeroperatoroscillatorpotentialschrspectrum
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We determine the $L^p$-spectrum of the Schr\"odinger operator with the inverted harmonic oscillator potential $V(x)=-x^2$ for $1 \leq p \leq \infty$.

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