Geometry and dynamics of Gaussian wave packets and their Wigner transforms

DOI10.1063/1.4995233zbMath1372.81104arXiv1611.04081OpenAlexW2562386662MaRDI QIDQ5366990

Tomoki Ohsawa, Cesare Tronci

Publication date: 10 October 2017

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

Full work available at URL: https://arxiv.org/abs/1611.04081

Mathematics Subject Classification ID

Hamilton's equations (70H05) Coherent states (81R30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Momentum maps; symplectic reduction (53D20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (7)

Madelung transform and probability densities in hybrid quantum–classical dynamics ⋮ Quantum polar duality and the symplectic camel: a new geometric approach to quantization ⋮ Approximation of semiclassical expectation values by symplectic Gaussian wave packet dynamics ⋮ The frame bundle picture of Gaussian wave packet dynamics in semiclassical mechanics ⋮ Momentum maps for mixed states in quantum and classical mechanics ⋮ Geometry of nonadiabatic quantum hydrodynamics ⋮ Gaussian distributions on the space of symmetric positive definite matrices from Souriau's Gibbs state for Siegel domains by coadjoint orbit and moment map

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