The semiclassical limit of quantum dynamics. I. Time evolution

DOI10.1063/1.528029zbMath0647.46060OpenAlexW2012949390MaRDI QIDQ3791706

Sam L. Robinson

Publication date: 1988

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

Full work available at URL: http://hdl.handle.net/10919/47092

zbMATH Keywords

quantum dynamicsGaussian statesasymptotic behavior of the quantum evolution of states of compact support

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Miscellaneous applications of functional analysis (46N99)

Related Items (8)

Unnamed Item ⋮ High-frequency asymptotic solution of the wave equation in an inhomogeneous medium ⋮ Dynamical evolution of the projector induced from the generalized squeezed state ⋮ Some extensions of semiclassical limit ℏ → 0 for Wigner functions on phase space ⋮ A quantum WKB approximation without classical trajectories ⋮ Unnamed Item ⋮ Semiclassical mechanics for time-dependent Wigner functions ⋮ Raising and lowering operators for semiclassical wave packets

Cites Work

• Corrected Bohr-Sommerfeld quantum conditions for nonseparable systems
• On a Hilbert space of analytic functions and an associated integral transform part I

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