A numerical evaluation of the semiclassical coherent state path integral

DOI10.1016/0003-4916(89)90096-1zbMath0875.58009OpenAlexW2068595494MaRDI QIDQ1816271

Yanyan Li

Publication date: 24 November 1996

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

Full work available at URL: https://doi.org/10.1016/0003-4916(89)90096-1

zbMATH Keywords

path integraltime evolutionwave functionsemiclassical dynamicsphase space caustickicked rotator

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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Semiclassics around a phase space caustic: An illustration using the Nelson Hamiltonian ⋮ Chaotic tunneling: A remarkable manifestation of complex classical dynamics in non-integrable quantum phenomena ⋮ A relaxation algorithm for classical paths as a function of end points: Application to the semiclassical propagator for far-from-caustic and near-caustic conditions ⋮ Controlling phase space caustics in the semiclassical coherent state propagator ⋮ Phase retrieval problem in quantum chaos and its relation to the origin of irreversibility. I ⋮ Relationship between singularities in classical mechanics for complex initial conditions and for complex time ⋮ Coherent-state overcompleteness, path integrals, and weak values ⋮ Complex semiclassical description of scattering problem systems with 1.5 degrees of freedom ⋮ Semiclassical theory of weak values ⋮ Real trajectories in the semiclassical coherent state propagator ⋮ Semiclassical propagator for SU(n) coherent states

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