Results 11 to 20 of about 18,388 (125)

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

Eulerian and Newtonian dynamics of quantum particles [PDF]

open access: yes, 2013
We derive the classical equations of hydrodynamic type (Euler equation and the continuity equation) from which the Schrodinger equation follows as a limit case.
Rashkovskiy, Sergey
core   +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

An approximating 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, N., Schaft, A.J. van der
core   +6 more sources

Hamilton-Jacobi Mechanics from Pseudo-Supersymmetry [PDF]

open access: yes, 2007
For a general mechanical system, it is shown that each solution of the Hamilton-Jacobi equation defines an N=2 pseudo-supersymmetric extension of the system, such that the usual relation of the momenta to Hamilton's principal function is the `BPS ...
Townsend, Paul K.
core   +3 more sources

Dirac Structures and Hamilton-Jacobi Theory for Lagrangian Mechanics on Lie Algebroids [PDF]

open access: yes, 2012
This paper develops the notion of implicit Lagrangian systems on Lie algebroids and a Hamilton--Jacobi theory for this type of system. The Lie algebroid framework provides a natural generalization of classical tangent bundle geometry.
Leok, Melvin, Sosa, Diana
core   +2 more sources

De Donder-Weyl Equations and Multisymplectic Geometry

open access: yes, 2001
Multisymplectic geometry is an adequate formalism to geometrically describe first order classical field theories. The De Donder-Weyl equations are treated in the framework of multisymplectic geometry, solutions are identified as integral manifolds of ...
Cantrijn   +12 more
core   +2 more sources

Hamilton-Jacobi meet M\uf6bius [PDF]

open access: yes, 2015
Adaptation of the Hamilton\u2013Jacobi formalism to quantum mechanics leads to a cocycle condition, which is invariant under D\u2013dimensional M\ua8obius transformations with Euclidean or Minkowski metrics.
Faraggi, Alon E., Matone, Marco
core   +2 more sources

Bohmian mechanics in relativistic quantum mechanics, quantum field theory and string theory [PDF]

open access: yes, 2006
I present a short overview of my recent achievements on the Bohmian interpretation of relativistic quantum mechanics, quantum field theory and string theory.
Bohm D   +14 more
core   +2 more sources

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