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arXiv · 1904.04212

Scattering theory for repulsive Schrödinger operators and applications to limit circle problem

Kouichi Taira
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Abstract

In this note, we study existence of the outgoing/incoming resolvents of repulsive Schrödinger operators which may not be essentially self-adjoint on the Schwartz space. Moreover, we recover the classical result: The repulsive Schroödinger operators with large repulsive constant is not essentially self-adjoint on the Schwartz space.

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Kouichi Taira. 2019-06-15. Scattering theory for repulsive Schrödinger operators and applications to limit circle problem. https://doi.org/10.2140/apde.2021.14.2101

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