Results 21 to 30 of about 114,514,341 (131)

Bohm's potential, classical/quantum duality and repulsive gravity

open access: yesPhysics Letters B, 2019
We propose the notion of a classical/quantum duality in the gravitational case (it can be extended to other interactions). By this one means exchanging Bohm's quantum potential for the classical potential VQ↔V in the stationary quantum Hamilton–Jacobi ...
Carlos Castro Perelman
doaj   +1 more source

Representation Formula for Solutions of Eikonal Type Equations

open access: yesNonlinear Analysis, 2001
Equations of an eikonal type ones arise in many areas of applications, including optics, fluid mechanics, material sciences, and control theory. This article investigates the representation formula for semiconcave solutions of the boundary problem for ...
Gintautas Gudynas
doaj   +1 more source

ANALYTICAL MECHANICS IN STOCHASTIC DYNAMICS: MOST PROBABLE PATH, LARGE-DEVIATION RATE FUNCTION AND HAMILTON–JACOBI EQUATION [PDF]

open access: yesInternational Journal of Modern Physics B, 2012
Analytical (rational) mechanics is the mathematical structure of Newtonian deterministic dynamics developed by D'Alembert, Lagrange, Hamilton, Jacobi, and many other luminaries of applied mathematics. Diffusion as a stochastic process of an overdamped individual particle immersed in a fluid, initiated by Einstein, Smoluchowski, Langevin and Wiener ...
Ge, Hao, Qian, Hong
openaire   +2 more sources

Gauge Invariance of Nonlinear Klein-Gordon

open access: yesPositron, 2013
We have discussed the gauge invariance of nonlinear Klein-Gordon equation which describes the interaction of electromagnetic initially proposed by Hermann Weyl. The construction of nonlinear Klein-Gordon itself is formulated by two classical conservation
T. B. Prayitno
doaj   +1 more source

An approximation method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]

open access: yes, 2006
In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, Noboru   +10 more
core   +4 more sources

Efficient Higher Order Time Discretization Schemes For Hamilton-Jacobi-Bellman Equations Based On Diagonally Implicit Symplectic Runge-Kutta Methods

open access: yes, 2022
S.97-128We consider a semi-Lagrangian approach for the computation of the value function of a Hamilton-Jacobi-Bellman equation. This problem arises when one solves optimal feedback control problems for evolutionary partial differential equations.
Kalmykov, Ilja, Garcke, Jochen
core   +1 more source

Covariant GUP Deformed Hamilton-Jacobi Method

open access: yesAdvances in High Energy Physics, 2017
We first briefly revisit the original Hamilton-Jacobi method and show that the Hamilton-Jacobi equation for the action I of tunneling of a fermionic particle from a charged black hole can be written in the same form of that for a scalar particle.
Benrong Mu, Peng Wang, Haitang Yang
doaj   +1 more source

On Exact Multidimensional Solutions of a Nonlinear System of First Order Partial Differential Equations

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2019
This study is concerned with a system of two nonlinear first order partial differential equations. The right-hand sides of the system contain the squares of the gradients of the unknown functions.
A.A. Kosov   +2 more
doaj   +1 more source

Quadratic Poisson algebras on k[x, y, z]and their automorphisms

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2016
One of the important directions in modern mathematics is applications of Poisson structures and to various problems of mathematics and theoretical mechanics. These problems arise in dynamics of a rigid body, the celestial mechanics, the theory of curls,
U.K. Turusbekova, G.T. Azieva
doaj   +1 more source

THE MODEL FOR FINAL STAGE OF GRAVITATIONAL COLLAPSE MASSLESS SCALAR FIELD

open access: yesOdessa Astronomical Publications, 2016
It is known that in General relativity, for some spherically symmetric initial conditions, the massless scalar field (SF) experience the gravitational collapse (Choptuik, 1989), and arise a black hole (BH). According Bekenstein, a BH has no "hair scalar",
V. D. Gladush, D. V. Mironin
doaj   +1 more source

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