Existence and completeness of the Möller wave operators for radial potentials satisfying ∫01 r‖v(r)‖d r+∫1∞‖v(r)‖d r< ∞

DOI10.1063/1.524584zbMath0451.35062OpenAlexW1983000799MaRDI QIDQ3897399

Charles N. Friedman, John D. Dollard

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524584

zbMATH Keywords

product integrationSchrödinger equationscattering theoryMöller wave operatorsradial Kato potentialstrace ideal methods

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Product integration of measures and applications, On the absolute continuity of Schrödinger operators with spherically symmetric, long-range potentials, Asymptotic forms of solutions of certain linear ordinary differential equations

Cites Work

• Product integration of measures and applications
• Existence of the Moller wave operators for \(V(\tau)={\lambda\sin (\mu r^\alpha )\over r^\beta}\)
• On strong product integration
• Quantum-mechanical scattering theory for short-range and Coulomb interactions
• Rigorous Derivation of the Phase Shift Formula for the Hilbert Space Scattering Operator of a Single Particle