Hamiltonian formalism for path-dependent Lagrangians
نویسندگان
چکیده
منابع مشابه
Canonical Formalism for Lagrangians of Maximal Nonlocality
A canonical formalism for Lagrangians of maximal nonlocality is established. The method is based on the familiar Legendre transformation to a new function which can be derived from the maximally nonlocal Lagrangian. The corresponding canonical equations are derived through the standard procedure in local theory and appear much like those local ones, though the implication of the equations is la...
متن کاملHamiltonian formalism for nonlinear waves
Hamiltonian description for nonlinear waves in plasma, hydrodynamics and magnetohydrodynamics is presented. The main attention is paid to the problem of canonical variables introducing. The connection with other approaches of the Hamiltonian structure introducing is presented, in particular, with the help of the Poisson brackets expressed in terms of natural variables. It is shown that the dege...
متن کاملLorentz-covariant Hamiltonian Formalism
The dynamic of a classical system can be expressed by means of Poisson brackets. In this paper we generalize the relation between the usual non covariant Hamiltonian and the Poisson brackets to a covariant Hamiltonian and new brackets in the frame of the Minkowski space. These brackets can be related to those used by Feynman in his derivation of Maxwell's equations. The case of curved space is ...
متن کاملAdelic Path Integrals for Quadratic Lagrangians
where K(x′′, t′′; x′, t′) is the kernel of the corresponding unitary integral operator acting as follows: Ψ(t′′) = U(t′′, t′)Ψ(t′). (1.2) K(x′′, t′′; x′, t′) is also called Green’s function, or the quantum-mechanical propagator, and the probability amplitude to go a particle from a space-time point (x′, t′) to the other point (x′′, t′′). Starting from (1.1) one can easily derive the following t...
متن کاملA Canonical Formalism For Lagrangians With Nonlocality Of Finite Extent
I consider Lagrangians which depend nonlocally in time but in such a way that there is no mixing between times differing by more than some finite value ∆t. By considering these systems as the limits of ever higher derivative theories I obtain a canonical formalism in which the coordinates are the dynamical variable from t to t+∆t. A simple formula for the conjugate momenta is derived in the sam...
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: Physical Review D
سال: 1987
ISSN: 0556-2821
DOI: 10.1103/physrevd.36.2385