Dynamics of uncertainties for one-dimensional semiclassical wave packets: Isochronicity, scattering, and capture

DOI10.1063/1.5096954zbMath1414.81115OpenAlexW2946196316MaRDI QIDQ5379488

Sam L. Robinson, Predrag Punoševac

Publication date: 12 June 2019

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

Full work available at URL: https://doi.org/10.1063/1.5096954

zbMATH Keywords

Hagedorn wave packets

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) (2)-body potential quantum scattering theory (81U05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Analysis of variance and covariance (ANOVA) (62J10)

Cites Work

• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
• The S-matrix in classical mechanics
• Wave operators for classical particle scattering
• Dynamics of uncertainties for bound one-dimensional semiclassical wave packets
• Semiclassical wave-packet scattering in one and two dimensions
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