Existence of the Møller wave operators in quantum scattering theory

DOI10.1007/BF02844639zbMath0684.35078MaRDI QIDQ1825377

Denis A. W. White

Publication date: 1988

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

wave operatorsshort range

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05)

Cites Work

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• On scattering theory for oscillatory potentials of slow decay
• Spectral and scattering theory for a class of strongly oscillating potentials
• Radiation conditions and spectral theory for 2-body Schrödinger operators with oscillating long-range potentials. III
• The existence of wave operators in scattering theory
• Existence of the Moller wave operators for \(V(\tau)={\lambda\sin (\mu r^\alpha )\over r^\beta}\)
• On the existence and the unitary property of the scattering operator
• Wave operators in multichannel scattering
• Schrodinger Operators with Rapidly Oscillating Central Potentials
• Spectral and scattering theory for the adiabatic oscillator and related potentials
• The scattering matrix for rapidly oscillating potentials
• The existence of wave operators for oscillating potentials

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