First-order equations of motion for classical mechanics
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Publication:3315056
DOI10.1063/1.525653zbMath0532.70009OpenAlexW2000164703MaRDI QIDQ3315056
Publication date: 1983
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.525653
Hamilton's equations (70H05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)
Related Items (15)
ON HIGHER DERIVATIVES AS CONSTRAINTS IN FIELD THEORY: A GEOMETRIC PERSPECTIVE ⋮ The time-evolution operator for singular Lagrangians ⋮ Generalized Hamiltonian dynamics. I. Formulation on T*Q⊕T Q ⋮ Generalized Hamiltonian dynamics. II. Gauge transformations ⋮ Singular Lagrangians in supermechanics. ⋮ Reductions of topologically massive gravity II. First order realizations of second order Lagrangians ⋮ On the geometry of the Schmidt-Legendre transformation ⋮ GEOMETRIC ASPECTS OF TIME-DEPENDENT SINGULAR DIFFERENTIAL EQUATIONS ⋮ A generalized geometric framework for constrained systems ⋮ The Lagrangian-Hamiltonian formalism for higher-order field theories ⋮ An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems ⋮ CONSTRAINT ALGORITHM FOR k-PRESYMPLECTIC HAMILTONIAN SYSTEMS: APPLICATION TO SINGULAR FIELD THEORIES ⋮ Corrected Forms of Physical Supplementary Conditions and Gauge Conditions in Singular Lagrangian Systems ⋮ Reductions of topologically massive gravity I: Hamiltonian analysis of second order degenerate Lagrangians ⋮ Skinner-Rusk approach to time-dependent mechanics
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