HAMILTONIAN DESCRIPTION OF HIGHER ORDER LAGRANGIANS
نویسندگان
چکیده
منابع مشابه
Reduction 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...
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The aim of the paper is to prove that T M , the tangent space of order k ≥ 1 of a manifold M , is diffeomorphic with T 1 k M , the tangent space of k–velocities, and also with ( T 1 k )∗ M , the cotangent space of k–covelocities, via suitable Lagrangians. One prove also that a hyperregular Lagrangian of first order on M can give rise to such diffeomorphisms. M.S.C. 2000: 53C60, 53C80, 70H50.
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A higher order Lagrangian or an affine Hamiltonian is totally singular if its vertical Hessian vanishes. A natural duality relation between totally singular Lagrangians and affine Hamiltonians is studied in the paper. We prove that the energy of a totally singular affine Hamiltonian has as a dual a suitable first order totally singular Lagrangian. Relations between the solutions of Euler and Ha...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1996
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x96002108