Gauge transformations in stochastic geometric mechanics

DOI10.1007/978-3-031-38271-0_58OpenAlexW4385435144MaRDI QIDQ6178892

Qiao Huang, Jean-Claude Zambrini

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-38271-0_58

zbMATH Keywords

canonical transformationdiffusion processstochastic regularizationLagrangian/Hamiltonian formalismquantum gauge invariance

Mathematics Subject Classification ID

Classical field theories (70S99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Stochastic geometric mechanics (70L10)

Cites Work

• Reciprocal processes. A measure-theoretical point of view
• Malliavin calculus and Euclidean quantum mechanics. I: Functional calculus
• Stochastic calculus in manifolds. With an appendix by P.A. Meyer
• Variational processes and stochastic versions of mechanics
• Quantum Theory for Mathematicians
• Stochastic Optimal Transportation
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Stochastic geometric mechanics in nonequilibrium thermodynamics: Schrödinger meets Onsager ^*
• From second-order differential geometry to stochastic geometric mechanics
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