Paths of Canonical Transformations and their Quantization

zbMath1323.81048arXiv1501.03137MaRDI QIDQ2948908

Maurice A. De Gosson

Publication date: 6 October 2015

Full work available at URL: https://arxiv.org/abs/1501.03137

zbMATH Keywords

quantizationmetaplectic representationHamiltonian flowscanonical transformationsWeyl correspondencedouble covering

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (5)

Relative phase shifts for metaplectic isotopies acting on mixed Gaussian states ⋮ Observing quantum trajectories: From Mott's problem to quantum Zeno effect and back ⋮ Symplectic coarse-grained classical and semclassical evolution of subsystems: New theoretical approach ⋮ Bypassing the Groenewold–van Hove obstruction on ${{\mathbb{R}}}^{2n}$: a new argument in favor of Born–Jordan quantization ⋮ Quantum Trajectories: Dirac, Moyal and Bohm

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