Constraints in Hamiltonian time-dependent mechanics

DOI10.1063/1.533276zbMath1045.37036arXivmath-ph/9904028OpenAlexW1966753729MaRDI QIDQ2737974

Luigi Mangiarotti, Gennadi A. Sardanashvily

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/9904028

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Constrained dynamics, Dirac's theory of constraints (70H45)

Related Items (12)

Covariant geometric quantization of nonrelativistic time-dependent mechanics ⋮ Geometric quantization of mechanical systems with time-dependent parameters ⋮ Variational principles and symmetries on fibered multisymplectic manifolds ⋮ Quantum mechanics with respect to different reference frames ⋮ PRE-MULTISYMPLECTIC CONSTRAINT ALGORITHM FOR FIELD THEORIES ⋮ Classical and quantum mechanics with time-dependent parameters ⋮ Geometry of multisymplectic Hamiltonian first-order field theories ⋮ TIME-DEPENDENT SUPERINTEGRABLE HAMILTONIAN SYSTEMS ⋮ CONSTRAINT ALGORITHM FOR k-PRESYMPLECTIC HAMILTONIAN SYSTEMS: APPLICATION TO SINGULAR FIELD THEORIES ⋮ GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS ⋮ Jacobi fields of completely integrable Hamiltonian systems ⋮ Geometric quantization of completely integrable Hamiltonian systems in the action-angle variables

Cites Work

• The inverse problem in the calculus of variations and the geometry of the tangent bundle
• Generalized classical BRST cohomology and reduction of Poisson manifolds
• Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts
• Non-standard connections in classical mechanics
• Geometry of the dynamical systems with time-dependent constraints and time-dependent Hamiltonian: An approach towards quantization
• GEOMETRICAL SETTING OF TIME-DEPENDENT REGULAR SYSTEMS: ALTERNATIVE MODELS.
• Hamiltonian time-dependent mechanics
• The constraint algorithm for time-dependent Lagrangians
• Stress-energy-momentum tensors in constraint field theories
• Time-dependent constrained Hamiltonian systems and Dirac brackets
• Nonholonomic constraints in time-dependent mechanics

This page was built for publication: Constraints in Hamiltonian time-dependent mechanics