Letters in Mathematical Physics

, Volume 45, Issue 1, pp 33–47 | Cite as

Symmetries of Schrödinger Operator with Point Interactions

  • S. Albeverio
  • L. Dabrowski
  • P. Kurasov


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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Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • S. Albeverio
    • 1
  • L. Dabrowski
    • 2
  • P. Kurasov
    • 3
  1. 1.Institute of MathematicsRuhr-UniversitätBochum; SFB 237; BiBoS; Cerfim (Locarno); Acc.Arch, USI (Mendrisio)
  2. 2.SISSATriesteItaly
  3. 3.Alexander von Humboldt fellow, Institute of Mathematics, Ruhr-Universität, Bochum Department of MathematicsStockholm University; Department of Mathematical and Computational Physics, St. Petersburg UniversityItaly

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