Canonical quantization of classical mechanics in curvilinear coordinates. Invariant quantization procedure

DOI10.1016/j.aop.2013.08.014zbMath1343.81142arXiv1305.4518OpenAlexW2027876300MaRDI QIDQ306883

Maciej Błaszak, Ziemowit Domański

Publication date: 1 September 2016

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

Full work available at URL: https://arxiv.org/abs/1305.4518

zbMATH Keywords

deformation quantizationphase spacequantum mechanicsMoyal productcanonical transformations

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Deformation quantization, star products (53D55) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

Path integrals with discarded degrees of freedom, Quantum effective potential from discarded degrees of freedom, Natural star-products on symplectic manifolds and related quantum mechanical operators, Separable quantizations of Stäckel systems, Coherence and squeezing along quantum trajectories, Flat minimal quantizations of Stäckel systems and quantum separability, Integrable quantum Stäckel systems

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