Pointillisme à la Signac and construction of a quantum fiber bundle over convex bodies

DOI10.1007/s10701-023-00681-2zbMath1528.81180arXiv2208.00470MaRDI QIDQ6170715

Maurice A. De Gosson, Charlyne de Gosson

Publication date: 13 July 2023

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

Full work available at URL: https://arxiv.org/abs/2208.00470

zbMATH Keywords

symplectic grouppolar dualityWigner transformLagrangian frameGaussian wavepacketsquantum fiber bundle

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Linear transformations, semilinear transformations (15A04) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Sectioning fiber spaces and bundles in algebraic topology (55S40) Special bases (entangled, mutual unbiased, etc.) (81P55) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Related Items (1)

Geometric quantum states and Lagrangian polar duality: quantum mechanics without wavefunctions

Cites Work

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