Mathematical Physics, Analysis and Geometry

, Volume 14, Issue 2, pp 115–151

An Operator Theoretic Interpretation of the Generalized Titchmarsh-Weyl Coefficient for a Singular Sturm-Liouville Problem

Article

DOI: 10.1007/s11040-011-9090-6

Cite this article as:
Kurasov, P. & Luger, A. Math Phys Anal Geom (2011) 14: 115. doi:10.1007/s11040-011-9090-6

Abstract

In this article an operator theoretic interpretation of the generalized Titchmarsh-Weyl coefficient for the Hydrogen atom differential expression is given. As a consequence we obtain a new expansion theorem in terms of singular generalized eigenfunctions.

Keywords

Titchmarsh-Weyl coefficientSingular differential operatorGeneralized Nevanlinna functionSupersingular perturbation

Mathematics Subject Classifications (2010)

30H1534L4047E0581Q10

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of PhysicsSt. Petersburg UniversitySt. PetersburgRussia
  2. 2.Department of MathematicsStockholm UniversityStockholmSweden
  3. 3.Department of MathematicsLTHLundSweden