The squeezed state approach of the semiclassical limit of the time-dependent Schrödinger equation

DOI10.1063/1.529884zbMath0761.35086OpenAlexW2056055739MaRDI QIDQ4030990

Monique Combescure

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529884

zbMATH Keywords

time-dependent Hamiltoniansevolution of time-dependent wave

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (13)

Computing quantum dynamics in the semiclassical regime ⋮ Coherent states expectation values as semiclassical trajectories ⋮ Features of Moyal trajectories ⋮ Generalized Mehler formula for time-dependent non-selfadjoint quadratic operators and propagation of singularities ⋮ Dynamical evolution of the projector induced from the generalized squeezed state ⋮ Classicality criteria ⋮ Some extensions of semiclassical limit ℏ → 0 for Wigner functions on phase space ⋮ Semiclassical sum rules and generalized coherent states ⋮ Hagedorn wavepackets in time-frequency and phase space ⋮ On the quantization of the electromagnetic field in conducting media ⋮ Quantum dynamics of a particle trapped by oscillating fields ⋮ Born-Oppenheimer approximation for an atom in constant magnetic fields ⋮ Raising and lowering operators for semiclassical wave packets

Cites Work

• The evolution operator technique in solving the Schrodinger equation, and its application to disentangling exponential operators and solving the problem of a mass-varying harmonic oscillator
• Coherent and Incoherent States of the Radiation Field

This page was built for publication: The squeezed state approach of the semiclassical limit of the time-dependent Schrödinger equation