Geometry of quantum dynamics in infinite-dimensional Hilbert space

DOI10.1088/1751-8121/aab289zbMath1390.81149arXiv1711.06486OpenAlexW3103400433WikidataQ59471846 ScholiaQ59471846MaRDI QIDQ4565026

Janusz Grabowski, Giuseppe Marmo, Marek M. Kuś, Tatiana Shulman

Publication date: 7 June 2018

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

Full work available at URL: https://arxiv.org/abs/1711.06486

zbMATH Keywords

Lagrangian formalismgeometry of quantum mechanicsTulczyjew triple

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of differential geometry to physics (53Z05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Lagrangian submanifolds; Maslov index (53D12) Constrained dynamics, Dirac's theory of constraints (70H45) Geometric quantization (53D50) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

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Unitary group orbits versus groupoid orbits of normal operators ⋮ Manifolds of classical probability distributions and quantum density operators in infinite dimensions

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