Symmetry and conservation laws in semiclassical wave packet dynamics

DOI10.1063/1.4914338zbMath1308.81096arXiv1410.8107OpenAlexW3102314632MaRDI QIDQ5245225

Tomoki Ohsawa

Publication date: 7 April 2015

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

Full work available at URL: https://arxiv.org/abs/1410.8107

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (5)

Computing quantum dynamics in the semiclassical regime ⋮ Hamiltonian dynamics of semiclassical Gaussian wave packets in electromagnetic potentials ⋮ Geometry and dynamics of Gaussian wave packets and their Wigner transforms ⋮ 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

Cites Work

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• Harmonic Analysis in Phase Space. (AM-122)
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• Symplectic Geometry
• Geometric Mechanics

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