Results 41 to 50 of about 114,514,341 (131)

Quantitative stochastic homogenization of viscous Hamilton-Jacobi equations

open access: yes, 2015
We prove explicit estimates for the error in random homogenization of degenerate, second-order Hamilton-Jacobi equations, assuming the coefficients satisfy a finite range of dependence.
Cardaliaguet, Pierre   +2 more
core   +1 more source

The companion equations and the moyal-nahm equations [PDF]

open access: yes, 2000
The first part of this thesis is concerned with the companion equations. These are equations of motion for the companion Lagrangian which is proposed to be the Lagrangian for a field theory associated with strings and branes, similar to the Klein-Gordon ...
Baker, Linda Margaret
core  

Relaxation of Hamilton-Jacobi equations

open access: yes, 2003
We study the relaxation of Hamilton-Jacobi equations. The relaxation in our terminology is the following phenomenon: the pointwise supremum over a certain collection of subsolutions, in the almost everywhere sense, of a Hamilton-Jacobi equation yields a ...
LORETI, Paola, Hitoshi Ishii
core   +1 more source

The complete solution of the Hamilton-Jacobi equation in Quantum Mechanics

open access: yes, 1996
An ordinary unambiguous integral representation for the finite propagator of a quantum system is found by starting of a privileged skeletonization of the functional action in phase space, provided by the complete solution of the Hamilton-Jacobi equation.
openaire   +2 more sources

On quantum and relativistic mechanical analogues in mean field spin models [PDF]

open access: yes, 2014
Conceptual analogies among statistical mechanics and classical or quantum mechanics often appeared in the literature. For classical two-body mean field models, such an analogy is based on the identification between the free energy of Curie-Weiss type ...
Guerra, F.   +10 more
core   +1 more source

Novel formulation of Hamilton-Jacobi equation for higher derivative theory and quantum mechanical correspondence

open access: yes, 2020
For higher derivative theories, using the approach of Caratheodory's equivalent Lagrangian, we show that there exist novel formulations of Hamilton-Jacobi equations, which are different from the formulations derived from Hamilton's canonical approach.
openaire   +2 more sources

Between Laws and Models: Some Philosophical Morals of Lagrangian Mechanics [PDF]

open access: yes, 2004
I extract some philosophical morals from some aspects of Lagrangian mechanics. (A companion paper will present similar morals from Hamiltonian mechanics and Hamilton-Jacobi theory.) One main moral concerns methodology: Lagrangian mechanics provides a ...
Butterfield, Jeremy
core  

Hamilton-Jacobi Theory and Superintegrable Systems [PDF]

open access: yes, 2007
Hamilton-Jacobi theory provides a powerful method for extracting the equations of motion out of some given systems in classical mechanics. On occasion it allows some systems to be solved by the method of separation of variables.
Armstrong, Craig Keith
core  

Quantum mechanics without spacetime IV : a noncommutative Hamilton-Jacobi equation

open access: yes, 2004
It has earlier been argued that there should exist a formulation of quantum mechanics which does not refer to a background spacetime. In this paper we propose that, for a relativistic particle, such a formulation is provided by a noncommutative generalisation of the Hamilton-Jacobi equation.
openaire   +2 more sources

Hamilton–Jacobi fractional mechanics [PDF]

open access: yes, 2008
As a continuation of Rabei et al. work [Eqab M. Rabei, Khaled I. Nawafleh, Raed S. Hijjawi, Sami I. Muslih, Dumitru Baleanu, The Hamilton formalism with fractional derivatives, J. Math. Anal. Appl.
Rabei, Eqab M.   +3 more
core   +1 more source

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