Two-dimensional scattering: The number of bound states from scattering data

DOI10.1063/1.526314zbMath0554.35094OpenAlexW2028925700MaRDI QIDQ3217015

Margaret Cheney

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526314

zbMATH Keywords

S-matrixLevinson theoremscattering datanumber of bound statestwo-dimensional Schrödinger operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse problems for PDEs (35R30) (2)-body potential quantum scattering theory (81U05) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

• Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• Growth properties of solutions of the reduced wave equation with a variable coefficient