A quantum route to the classical Lagrangian formalism

DOI10.1142/S0217732321500917zbMath1467.81011arXiv2106.00998MaRDI QIDQ5006032

Florio M. Ciaglia, Luca Schiavone, Alessandro Zampini, Alberto Ibort, Fabio Di Cosmo, Giuseppe Marmo

Publication date: 12 August 2021

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.00998

zbMATH Keywords

classical limit of quantum mechanicsLie groupoids and Lie algebroidsLagrangian in quantum mechanics

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum measurement theory, state operations, state preparations (81P15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items

Feynman’s propagator in Schwinger’s picture of Quantum Mechanics ⋮ Dynamical Maps and Symmetroids ⋮ Groupoid and algebra of the infinite quantum spin chain ⋮ The groupoidal picture of quantum mechanics ⋮ Symmetries and reduction Part II — Lagrangian and Hamilton–Jacobi picture

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• Lagrangian mechanics on Lie algebroids

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