Potential scatterings in the \(L^2\) space: (2) rigorous scattering probability of wave packets

DOI10.1016/j.aop.2023.169571arXiv2305.16970OpenAlexW4389687825MaRDI QIDQ6143415

Kenzo Ishikawa

Publication date: 5 January 2024

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

Full work available at URL: https://arxiv.org/abs/2305.16970

zbMATH Keywords

potential scatteringwave packetassociativity breakingabsolute scattering probabilityat stationary state non-orthogonalityforward interference pattern

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Symmetry breaking in quantum theory (81R40) Dispersion theory, dispersion relations arising in quantum theory (81U30) Pattern formations in context of PDEs (35B36) Stationary solutions of functional-differential equations (34K21) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Matter-enhanced transition probabilities in quantum field theory
• Perturbation theory for linear operators.
• On the existence and the unitary property of the scattering operator
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