Theoretical and Mathematical Physics

, Volume 132, Issue 1, pp 976–982

Local Perturbations of the Schrödinger Operator on the Axis


  • R. R. Gadyl'shin
    • Bashkir State Pedagogical University

DOI: 10.1023/A:1019615509634

Cite this article as:
Gadyl'shin, R.R. Theoretical and Mathematical Physics (2002) 132: 976. doi:10.1023/A:1019615509634


We present necessary and sufficient conditions for the existence of eigenvalues of the Schrödinger operator on an axis under small local perturbations. In the case where the eigenvalues exist, we construct their asymptotic approximations.

Schrödinger operatorperturbationeigenvalueasymptotic approximation

Copyright information

© Plenum Publishing Corporation 2002