Differential and Integral Equations

Analyticity of eigenfunctions for Schrödinger operators

Richard Ford

Full-text: Open access

Abstract

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.

Article information

Source
Differential Integral Equations, Volume 8, Number 3 (1995), 699-703.

Dates
First available in Project Euclid: 23 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1369316517

Mathematical Reviews number (MathSciNet)
MR1306586

Zentralblatt MATH identifier
0828.35085

Subjects
Primary: 81U05: $2$-body potential scattering theory [See also 34E20 for WKB methods]
Secondary: 35P05: General topics in linear spectral theory 35Q40: PDEs in connection with quantum mechanics 81U40: Inverse scattering problems

Citation

Ford, Richard. Analyticity of eigenfunctions for Schrödinger operators. Differential Integral Equations 8 (1995), no. 3, 699--703. https://projecteuclid.org/euclid.die/1369316517


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