Results 11 to 20 of about 18,388 (125)
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
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Eulerian and Newtonian dynamics of quantum particles [PDF]
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
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Quadratic Poisson algebras on k[x, y, z]and their automorphisms
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
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THE MODEL FOR FINAL STAGE OF GRAVITATIONAL COLLAPSE MASSLESS SCALAR FIELD
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
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An approximating method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]
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
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Hamilton-Jacobi Mechanics from Pseudo-Supersymmetry [PDF]
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.
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Dirac Structures and Hamilton-Jacobi Theory for Lagrangian Mechanics on Lie Algebroids [PDF]
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
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De Donder-Weyl Equations and Multisymplectic Geometry
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
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Hamilton-Jacobi meet M\uf6bius [PDF]
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
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Bohmian mechanics in relativistic quantum mechanics, quantum field theory and string theory [PDF]
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
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