On singular Lagrangians affine in velocities

Abstract

The properties of Lagrangians affine in velocities are analyzed in a geometric way. These systems are necessarily singular and exhibit, in general, gauge invariance. The analysis of constraint functions and gauge symmetry leads us to a complete classification of such Lagrangians.

arXiv commentAMSTeX, 22 pages

References in corpus (6)

• Canonical Quantization of Cosmological Perturbations in the One Bubble Open Universe
• Large-N expansion based on the Hubbard-operator path integral representation and its application to the $t-J$ model
• The Faddeev-Jackiw Approach and the Conformal Affine sl(2) Toda Model Coupled to Matter Field
• First-Order Lagrangians and Path-Integral Quantization in the t-J Model
• On Hamiltonian formulations of the Schrödinger system
• Quantum Mechanics on the Circle and W_{1+\INFTY}

Cited by in corpus (4)

• Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system
• Hamilton-Jacobi approach for linearly acceleration-dependent Lagrangians
• Constrained Dynamics: Generalized Lie Symmetries, Singular Lagrangians, and the Passage to Hamiltonian Mechanics
• Generalized Lie Symmetries and Almost Regular Lagrangians: A Link Between Symmetry and Dynamics