Letters in Mathematical Physics

, Volume 45, Issue 1, pp 33–47

Symmetries of Schrödinger Operator with Point Interactions

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

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 operatorssymmetriesextension theorypoint interactionsexactly solvable models.

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