A study of the Lippmann-Schwinger equation and spectra for some unbounded quantum potentials

DOI10.1216/rmjm/1181069691zbMath1090.45004OpenAlexW2081807299MaRDI QIDQ812506

Christopher J. Winfield

Publication date: 24 January 2006

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069691

zbMATH Keywords

singular integral equationsSchrödinger operatorSchrödinger equationLippmann-Schwinger integral equationHilbert-Schmidt operatorweak sense solutions

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) (2)-body potential quantum scattering theory (81U05) Integral operators (45P05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Scattering theory of linear operators (47A40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Scattering theory: some old and new problems
• On the essential spectrum of the hydrogen energy and related operators
• The abstract theory of scattering
• Spectral theory of operators in Hilbert space
• Schrödinger Scattering Amplitude. I
• Schrödinger Scattering Amplitude. III
• On a Factor Automorphism of a Normal Dynamical System
• Theory of Simple Scattering and Eigenfunction Expansions