Spectral resonances which become eigenvalues

DOI10.1007/BF02506421zbMath0864.34075MaRDI QIDQ2364990

David W. Pravica

Publication date: 1 July 1997

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

zbMATH Keywords

eigenvaluesexponential boundsstationary Schrödinger equationshape resonances

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General quantum mechanics and problems of quantization (81S99) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

• Unnamed Item
• Sharp exponential bounds on resonances states and width of resonances
• Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians
• Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
• Stark ladder resonances for small electric fields
• Trapped rays in cylindrically symmetric media and poles of the analytically continued resolvent
• Shape resonances: A comparison between parabolic and flat bottom potentials
• Semiclassical theory of shape resonances in quantum mechanics

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