Quantum mechanical scattering theory for potentials of the form V(r) = (sin r)/r β , 1/3<β≤1/2

DOI10.1063/1.525418zbMath0512.35068OpenAlexW1996023188MaRDI QIDQ4751098

No author found.

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525418

zbMATH Keywords

two-body problemradial Schrödinger equationtime dependent quantum mechanical scattering

Mathematics Subject Classification ID

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

Cites Work

• On scattering theory for oscillatory potentials of slow decay
• Existence of the Moller wave operators for \(V(\tau)={\lambda\sin (\mu r^\alpha )\over r^\beta}\)
• On strong product integration
• On convergence to the møller wave operators
• The existence of wave operators for oscillating potentials

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