The time-evolution operator for singular Lagrangians

DOI10.1007/BF00416849zbMath0638.58009OpenAlexW2355300395MaRDI QIDQ1099455

B. George

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00416849

zbMATH Keywords

Hamiltonian systemsconstraintsLagrangian systemsLegendre transformationtangent and cotangent bundlesconstrained Hamiltonian vector field

Mathematics Subject Classification ID

Hamilton's equations (70H05) Constrained dynamics, Dirac's theory of constraints (70H45) Lagrange's equations (70H03) Nonholonomic dynamical systems (37J60)

Related Items

Geometric study of the connection between the Lagrangian and Hamiltonian constraints, Singular Lagrangians in supermechanics., Geometric Lagrangian approach to first-order systems and applications, A generalized geometric framework for constrained systems, On an evolution operator connecting Lagrangian and Hamiltonian formalisms, Unnamed Item, VARIATIONAL CALCULUS, SYMMETRIES AND REDUCTION, On the geometry of singular Lagrangians, GEOMETRIC HAMILTON–JACOBI THEORY

Cites Work

• Unnamed Item
• Lagrangian and Hamiltonian constraints
• Generalized Hamiltonian dynamics. I. Formulation on T*Q⊕T Q
• First-order equations of motion for classical mechanics
• On the Legendre transformation for singular Lagrangians and related topics
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints