, Volume 45, Issue 1, pp 33-47

Symmetries of Schrödinger Operator with Point Interactions

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Abstract

The transformations of all the Schrödinger operators with point interactions in dimension one under space reflection P, time reversal T and (Weyl) scaling Wλ are presented. In particular, those operators which are invariant (possibly up to a scale) are selected. Some recent papers on related topics are commented upon.