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arXiv · 2404.04756

On Schrödinger equation with square and inverse-square potentials

Atsuhide Ishida·Masaki Kawamoto
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Abstract

In this paper, we study the linear and nonlinear Schrödinger equations with a time-decaying harmonic oscillator and inverse-square potential. This model retains a form of scale invariance, and using this property, we demonstrate the asymptotic completeness of wave operators and Strichartz estimates for linear propagators.

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Atsuhide Ishida, Masaki Kawamoto. 2025-07-24. On Schrödinger equation with square and inverse-square potentials. https://doi.org/10.1007/s42985-025-00325-2

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