GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS

DOI10.1142/S0219887813500618zbMath1277.70033arXiv1303.1735MaRDI QIDQ2865250

Gennadi A. Sardanashvily

Publication date: 29 November 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1735

zbMATH Keywords

reference framequantum mechanicsHamiltonian mechanicsLagrangian mechanicsnon-relativistic mechanics

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Lagrange's equations (70H03)

Related Items (1)

Bi-Hamiltonian Structures of 3D Chaotic Dynamical Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Lagrangian dynamics of submanifolds. Relativistic mechanics
• Quantization of noncommutative completely integrable Hamiltonian systems
• Unbounded derivations of \(C^*\)-algebras
• On the geometric quantization of the symplectic leaves of Poisson manifolds
• Geometric quantization of completely integrable Hamiltonian systems in the action-angle variables
• On the geodesic form of second-order dynamic equations
• Constraints in Hamiltonian time-dependent mechanics
• Classical and quantum mechanics with time-dependent parameters
• GRADED LAGRANGIAN FORMALISM
• RELATIVISTIC MECHANICS IN A GENERAL SETTING
• Non-standard connections in classical mechanics
• Noncommutative integrability on noncompact invariant manifolds
• Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds
• Quantum mechanics with respect to different reference frames
• Quantum evolution as a parallel transport
• GEOMETRICAL SETTING OF TIME-DEPENDENT REGULAR SYSTEMS: ALTERNATIVE MODELS.
• First integrals and symmetries of time-dependent Hamiltonian systems
• Hamiltonian time-dependent mechanics
• The Liouville Arnold Nekhoroshev theorem for non-compact invariant manifolds
• Action angle coordinates for time-dependent completely integrable Hamiltonian systems
• Covariant geometric quantization of nonrelativistic time-dependent mechanics
• Geometric quantization of mechanical systems with time-dependent parameters
• Geometric quantization of time-dependent completely integrable Hamiltonian systems
• Bi-Hamiltonian partially integrable systems
• Nonadiabatic holonomy operators in classical and quantum completely integrable systems
• TIME-DEPENDENT SUPERINTEGRABLE HAMILTONIAN SYSTEMS
• Covariant Hamilton equations for field theory
• SUPERINTEGRABLE HAMILTONIAN SYSTEMS WITH NONCOMPACT INVARIANT SUBMANIFOLDS: KEPLER SYSTEM
• CLASSICAL FIELD THEORY: ADVANCED MATHEMATICAL FORMULATION

This page was built for publication: GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS