Does Levinson’s theorem count complex eigenvalues?

DOI10.1063/1.5004574zbMath1373.81215arXiv1611.04777OpenAlexW3105425887MaRDI QIDQ4592895

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Publication date: 9 November 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.04777

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) (2)-body potential quantum scattering theory (81U05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (2)

Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example ⋮ Explicit formula for Schrödinger wave operators on the half-line for potentials up to optimal decay

Cites Work

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• On Schrödinger operators with inverse square potentials on the half-line
• Perturbation theory for linear operators.
• Levinson's theorem for Schrödinger operators with point interaction: a topological approach
• The Levinson theorem
• The topological meaning of Levinson's theorem, half-bound states included
• Levinson's theorem and higher degree traces for Aharonov-Bohm operators
• SINGULAR INTEGRAL OPERATORS ON A HALF-LINE

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