Letters in Mathematical Physics

, Volume 45, Issue 1, pp 33–47

Symmetries of Schrödinger Operator with Point Interactions


  • S. Albeverio
    • Institute of MathematicsRuhr-Universität
  • L. Dabrowski
    • SISSA
  • P. Kurasov
    • Alexander von Humboldt fellow, Institute of Mathematics, Ruhr-Universität, Bochum Department of MathematicsStockholm University; Department of Mathematical and Computational Physics, St. Petersburg University

DOI: 10.1023/A:1007493325970

Cite this article as:
Albeverio, S., Dabrowski, L. & Kurasov, P. Letters in Mathematical Physics (1998) 45: 33. doi:10.1023/A:1007493325970


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.

Schrödinger operators symmetries extension theory point interactions exactly solvable models.

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© Kluwer Academic Publishers 1998