Hamiltonian systems with constraints: a geometric approach

DOI10.1007/BF00671858zbMath0697.58019MaRDI QIDQ911117

Miguel C. Muñoz-Lecanda

Publication date: 1989

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemHamiltonian-Dirac equation

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

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Gauge systems: Presymplectic and group action formulations ⋮ REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRY ⋮ PRE-MULTISYMPLECTIC CONSTRAINT ALGORITHM FOR FIELD THEORIES ⋮ Dirac’s algorithm in the presence of boundaries: a practical guide to a geometric approach ⋮ A generalized geometric framework for constrained systems ⋮ Unnamed Item ⋮ CONSTRAINT ALGORITHM FOR k-PRESYMPLECTIC HAMILTONIAN SYSTEMS: APPLICATION TO SINGULAR FIELD THEORIES

Cites Work

• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems
• Foundations of Quantum Mechanics
• Generalized Hamiltonian Dynamics
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