Hamiltonian time-dependent mechanics

DOI10.1063/1.532416zbMath1031.70508OpenAlexW2016183736MaRDI QIDQ4260507

Gennadi A. Sardanashvily

Publication date: 16 December 2002

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

Full work available at URL: https://doi.org/10.1063/1.532416

Mathematics Subject Classification ID

Hamilton's equations (70H05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx)

Related Items (22)

SUSY-EXTENDED FIELD THEORY ⋮ Generalized conformal Hamiltonian dynamics and the pattern formation equations ⋮ Covariant hydrodynamics of Hamiltonian systems ⋮ Covariant geometric quantization of nonrelativistic time-dependent mechanics ⋮ Geometric quantization of mechanical systems with time-dependent parameters ⋮ Lifting geometric objects to the dual of the first jet bundle of a bundle fibred over \(\mathbb R\) ⋮ Hamiltonization of higher-order nonlinear ordinary differential equations and the Jacobi last multiplier ⋮ A time-extended Hamiltonian formalism ⋮ Quantum mechanics with respect to different reference frames ⋮ Lifted tensors and Hamilton-Jacobi separability ⋮ PRE-MULTISYMPLECTIC CONSTRAINT ALGORITHM FOR FIELD THEORIES ⋮ On the geodesic form of second-order dynamic equations ⋮ Constraints in Hamiltonian time-dependent mechanics ⋮ Classical and quantum mechanics with time-dependent parameters ⋮ Gauge-invariant covariant Hamiltonians ⋮ Geometry of multisymplectic Hamiltonian first-order field theories ⋮ TIME-DEPENDENT SUPERINTEGRABLE HAMILTONIAN SYSTEMS ⋮ Nonholonomic constraints in time-dependent mechanics ⋮ Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology ⋮ GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS ⋮ Stratified Lie systems: theory and applications ⋮ Integrable systems in cosymplectic geometry

Cites Work

• The inverse problem in the calculus of variations and the geometry of the tangent bundle
• On application of the Hamilton formalism in fibred manifolds to field theory
• A geometric approach to Noether's second theorem in time-dependent Lagrangian mechanics
• Some variations on the notion of connection
• Second order Hamiltonian vector fields on tangent bundles
• Constrained Hamiltonian systems and gauge theories
• Non-standard connections in classical mechanics
• Poisson maps and canonoid transformations for time-dependent Hamiltonian systems
• GEOMETRICAL SETTING OF TIME-DEPENDENT REGULAR SYSTEMS: ALTERNATIVE MODELS.
• Hamiltonian formalism for nonregular Lagrangian theories in fibered manifolds
• Stress-energy-momentum tensors in constraint field theories
• Constraint field systems in multimomentum canonical variables

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