Analyticity of eigenfunctions for Schrödinger operators. (English) Zbl 0828.35085

Ford, Richard

Differ. Integral Equ. 8, No. 3, 699-703 (1995).

Summary: The generalized eigenfunctions for a class of highly singular Schrödinger operators that includes the important delta-shell potential of nuclear physics is shown to have a meromorphic continuation into the upper half-plane.

MSC:

35P10	Completeness of eigenfunctions and eigenfunction expansions in context of PDEs
81Q05	Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
35R30	Inverse problems for PDEs

Keywords:

singular Schrödinger operators; delta-shell potential of nuclear physics