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.
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The authors gratefully acknowledge support from the Swedish Research Council, Grant #50092501, and the Austrian Science Fund (FWF), grant numbers P15540-N05 and J2540-N13.
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Kurasov, P., Luger, A. An Operator Theoretic Interpretation of the Generalized Titchmarsh-Weyl Coefficient for a Singular Sturm-Liouville Problem. Math Phys Anal Geom 14, 115–151 (2011). https://doi.org/10.1007/s11040-011-9090-6
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DOI: https://doi.org/10.1007/s11040-011-9090-6
Keywords
- Titchmarsh-Weyl coefficient
- Singular differential operator
- Generalized Nevanlinna function
- Supersingular perturbation