Singular Lagrangians and precontact Hamiltonian systems
نویسندگان
چکیده
منابع مشابه
Singular Lagrangians in Supermechanics
The time evolution operator K is introduced in the graded context and its main properties are discussed. In particular, the operator K is used to analize the projectability of constraint functions arising in the Lagrangian formalism for singular Lagrangians.
متن کاملCoisotropic regularization of singular Lagrangians
We present an alternative approach to the usual treatments of singular Lagrangians. It is based on a Hamiltonian regularization scheme inspired on the coisotropic embedding of presymplectic systems. A Lagrangian regularization of a singular Lagrangian is a regular Lagrangian defined on an extended velocity phase space that reproduces the original theory when restricted to the initial configurat...
متن کاملSingular reduction of implicit Hamiltonian systems
This paper develops the reduction theory of implicit Hamiltonian systems admitting a symmetry group at a singular value of the momentum map. The results naturally extend those known for (explicit) Hamiltonian systems described by Poisson brackets. keywords: implicit Hamiltonian systems, Dirac structures, symmetry, reduction
متن کاملTotally singular Lagrangians and affine Hamiltonians
A Lagrangian or an affine Hamiltonian is called totally singular if it is defined by affine functions in highest velocities or momenta respectively. A natural duality relation between these Lagrangians and affine Hamiltonians is considered. The energy of a second order affine Hamiltonian is related with a dual corresponding Lagrangian of order one. Relations between the curves that are solution...
متن کاملReduction of Singular Lagrangians of Higher-order
Given a singular non-autonomous Lagrangian of higher order we construct a reduced evolution space of the same order and a local regular Lagrangian on it which is gauge equivalent to the original one. The general geometrical framework used is the theory of almost stable tangent geometry of higher order introduced in 17]. We show that higher order almost stable manifols can be endowed with a loca...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2019
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887819501585