Time-dependent mechanical symmetries and extended Hamiltonian systems

DOI10.1016/0034-4877(84)90023-5zbMath0561.58019OpenAlexW1965316817MaRDI QIDQ2266498

Ruishi Kuwabara

Publication date: 1984

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(84)90023-5

zbMATH Keywords

Lie algebradynamical systemPoisson bracketquantum systemtime-dependent Hamiltonian systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Symmetry breaking in quantum theory (81R40) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (8)

REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRY ⋮ Probability and Quantum Symmetries. II. The Theorem of Nœther in quantum mechanics ⋮ Extended Hamiltonian systems in multisymplectic field theories ⋮ Time scaling as an infinitesimal canonical transformation ⋮ Geometry of multisymplectic Hamiltonian first-order field theories ⋮ Hamiltonian formalism and time transformations in the extended phase space \(T^*(Q \times \mathbb{R})\) ⋮ Lie symmetries, Lagrangians and Hamiltonian framework of a class of nonlinear nonautonomous equations ⋮ Unified formalism for nonautonomous mechanical systems

Cites Work

• Noether equations and conservation laws
• Time−dependent dynamical symmetries, associated constants of motion, and symmetry deformations of the Hamiltonian in classical particle systems
• A gauge invariant formulation of time-dependent dynamical symmetry mappings and associated constants of motion for Lagrangian particle mechanics. I
• Hamilton's Principle and the Conservation Theorems of Mathematical Physics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Time-dependent mechanical symmetries and extended Hamiltonian systems