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Relativistic forces in Lagangian mechanics
Relativistic forces Lagangian mechanics Mathematical Physics
2012/6/27
We give a general definition of \emph{relativistic force} in the context of Lagrangian mechanics. Once this is done we prove that the only relativistic forces which are linear on the velocities are th...
Relativistic point dynamics and Einstein formula as a property of localized solutions of a nonlinear Klein-Gordon equation
Relativistic point dynamics Einstein formula nonlinear Klein-Gordon equation Mathematical Physics
2012/6/15
Einstein's relation E=Mc^2 between the energy E and the mass M is the cornerstone of the relativity theory. This relation is often derived in a context of the relativistic theory for closed systems wh...
On the Relativistic Formulation of Matter
General Relativity and Gravitation - theory fundamental problems and general formalism
2012/4/20
A critical analysis of the relativistic formulation of matter reveals some surprising inconsistencies and paradoxes. Corrections are discovered which lead to the long-sought-after equality of the grav...
Relativistic Quantum and Classical Mechanics in the Hilbert Space
Relativistic Quantum Classical Mechanics the Hilbert Space
2011/8/18
Abstract: We present a formulation of relativistic classical and quantum mechanics in the Hilbert space with a linkage through the Ehrenfest quantization. We start with the covariant form of the Loren...
Newtonian limit and trend to equilibrium for the relativistic Fokker-Planck equation
Relativistic Fokker-Planck equation Newtonian limit Trend to equilibrium
2011/9/21
Abstract: The relativistic Fokker-Planck equation, in which the speed of light $c$ appears as a parameter, is considered. It is shown that in the limit $c\to\infty$ its solutions converge in $L^1$ to ...
Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system
Vlasov-Darwin weak solutions uniqueness optimal transportation
2011/9/20
Abstract: We use optimal transportation techniques to show uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system. Our proof extends the method used by Loeper in...
Relativistic Quantum State, Geometric Phase and Dissipationless Spin current
Relativistic Quantum State Geometric Phase Dissipationless Spin current
2011/8/11
Abstract: Spin current of a Dirac particle is shown to be given by the geometric phase and in terms of the later, a closed form expression is obtained for the dissipationlessness of the spin current.
On the motion of point defects in relativistic fields
the motion of point defects relativistic fields Mathematical Physics
2011/9/2
Abstract: We inquire into classical and quantum laws of motion for the point charge sources in the nonlinear Maxwell-Born-Infeld field equations of classical electromagnetism in flat and curved Einste...
Trends to equilibrium for a class of relativistic diffusions
Relativisic diffusions Relativistic Ornstein-Uhlenbeck process Equilibrium measure
2011/7/28
Abstract: We address the question of the trends to equilibrium for a large class C of relativistic diffusions. We show the existence of a spectral gap using the Lyapounov method and deduce the exponen...
Spinning-particle model for the Dirac equation and the relativistic Zitterbewegung
Spinning-particle model the Dirac equation the relativistic Zitterbewegung
2011/7/28
Abstract: We construct the relativistic particle model without Grassmann variables which meets the following requirements. A) Canonical quantization of the model implies the Dirac equation. B) The var...
Integrable relativistic systems given by Hamiltonians with momentum-spin-orbit coupling
Integrable relativistic systems Hamiltonians momentum-spin-orbit coupling
2011/7/26
Abstract: In the paper we investigate the evolution of the relativistic particle (massive and massless) with spin defined by Hamiltonian containing the terms with momentum-spin-orbit coupling. We inte...
Unstable particles in non-relativistic quantum mechanics?
non-relativistic quantum mechanics Unstable particles Quantum Physics
2011/7/26
Abstract: The Schroedinger equation is up-to-a-phase invariant under the Galilei group. This phase leads to the Bargmann's superselection rule, which forbids the existence of the superposition of stat...
Lorentzian varifolds and applications to closed relativistic strings
Lorentzian varifold closed relativistic strings General Relativity and Quantum Cosmology
2011/7/26
Abstract: We develop a suitable generalization of Almgrens theory of varifolds in a lorentzian setting, focusing on area, first variation, rectifiability, compactness and closure issues. Motivated by ...
Ground states of semi-relativistic Pauli-Fierz and no-pair Hamiltonians in QED at critical Coulomb coupling
Existence of ground states exponential localization no-pair Hamiltonian quantum electrodynamics
2011/7/26
Abstract: We consider the semi-relativistic Pauli-Fierz Hamiltonian and a no-pair model of a hydrogen-like atom interacting with a quantized photon field at the respective critical values of the Coulo...
The effect of triangular flow on di-hadron azimuthal correlations in relativistic heavy ion collisions
di-hadron azimuthal correlations relativistic heavy ion collisions
2011/1/5
Using the AMPT model for relativistic heavy ion collisions, we have studied the di-hadron azimuthal angular correlations triggered by emitted jets in Au+Au collisions at center of mass energy psNN = 2...