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.
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Albeverio, S., Dabrowski, L. & Kurasov, P. Symmetries of Schrödinger Operator with Point Interactions. Letters in Mathematical Physics 45, 33–47 (1998). https://doi.org/10.1023/A:1007493325970
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DOI: https://doi.org/10.1023/A:1007493325970