Symplectic semiclassical wave packet dynamics

DOI10.1088/1751-8113/46/40/405201zbMath1278.81087arXiv1302.1139OpenAlexW2097579613MaRDI QIDQ2857305

Melvin Leok, Tomoki Ohsawa

Publication date: 1 November 2013

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

Full work available at URL: https://arxiv.org/abs/1302.1139

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (13)

Computing quantum dynamics in the semiclassical regime ⋮ Joint quantum–classical Hamilton variational principle in the phase space* ⋮ Hamiltonian dynamics of semiclassical Gaussian wave packets in electromagnetic potentials ⋮ Symplectic semiclassical wave packet dynamics II: non-Gaussian states ⋮ Wavepackets in inhomogeneous periodic media: Effective particle-field dynamics and Berry curvature ⋮ Geometry and dynamics of Gaussian wave packets and their Wigner transforms ⋮ Madelung transform and probability densities in hybrid quantum–classical dynamics ⋮ The Siegel upper half space is a Marsden-Weinstein quotient: symplectic reduction and Gaussian wave packets ⋮ Approximation of semiclassical expectation values by symplectic Gaussian wave packet dynamics ⋮ The frame bundle picture of Gaussian wave packet dynamics in semiclassical mechanics ⋮ A New Phase Space Density for Quantum Expectations ⋮ Geometry of nonadiabatic quantum hydrodynamics ⋮ Symmetry and conservation laws in semiclassical wave packet dynamics

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