Energy dependence of the scattering operator

DOI10.1016/0196-8858(80)90014-7zbMath0445.47007OpenAlexW1965796079MaRDI QIDQ1145330

E. Brian Davies

Publication date: 1980

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(80)90014-7

zbMATH Keywords

scattering operatorrepulsive potentialsdilation group

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Scattering theory of linear operators (47A40)

Related Items

Energy dependence of the scattering operator. II, Time-delay in potential scattering theory. Some geometric results

Cites Work

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• Finite total cross-sections in nonrelativistic quantum mechanics
• On the absorption of eigenvalues by continuous spectrum in regular perturbation problems
• A generalization of the Birman trace theorem
• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
• A time-dependent approach to the total scattering cross section
• Bounds on Total Cross Sections in Atom-Atom and Atom-Ion Collisions by Geometric Methods