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Eikonal equation of the Lorentz-violating Maxwell theory
Eikonal equation the Lorentz-violating Maxwell theory
2010/12/24
We derive the eikonal equation of light wavefront in the presence of Lorentz invariance violation (LIV) from the photon sector of the standard model extension (SME). The results obtained from the equ...
Renormalized waves and thermalization of the Klein-Gordon equation: What sound does a nonlinear string make?
Renormalized waves thermalization Klein-Gordon equation
2010/11/10
We study the thermalization of the classical Klein-Gordon equation under a u^4 interaction. We numerically show that even in the presence of strong nonlinearities, the local thermodynamic equilibrium ...
Improvement on the Lorentz-Abraham-Dirac equation
Improvement Lorentz-Abraham-Dirac equation
2010/11/16
The Lorentz-Abraham-Dirac equation is reinterpreted as the lowest order, asymptotic differential relation for the velocity of the radiating pointlike mass, and higher order terms are added for more pr...
Dissipative periodic waves, solitons and breathers of the nonlinear Schrodinger equation with complex potentials
periodic waves solitons the nonlinear Schrodinger equation
2010/11/18
Exact solutions for the generalized nonlinear Schr\"odinger (NLS) equation with inhomogeneous complex linear and nonlinear potentials are found. We have found localized and periodic solutions for a w...
The Quantum Wave Packet and the Feynman de Broglie Bohm Propagator of the Linearized Schuch Chung Hartmann Equation along a Classical Trajetory
The Quantum Wave Packet Feynman Broglie Bohm Propagator Linearized Schuch Chung Hartmann Equation
2010/11/5
In this paper we study the quantum wave packet and the Feynman-de Broglie-Bohm propagator of the linearized Schuch-Chung-Hartmann equation along a classical trajetory.
Marching toward the eigenvalues: The Canonical Function Method and the Schrödinger equation
Schrö dinger equation Canonical Function Method
2010/3/10
The Canonical Function Method (CFM) is a powerful accurate and fast method that solves the Schr\"{o}dinger equation for the eigenvalues directly without having to evaluate the eigenfunctions. Its vers...
Solutions of the sDiff(2)Toda equation with SU(2) Symmetry
sDiff(2)Toda equation SU(2) Symmetry
2010/3/17
We present the general solution to the Plebanski equation for an H-space that admits Killing vectors for an entire SU(2) of symmetries, which is therefore also the general solution of the sDiff(2)Toda...
Path Integral Treatment for Spinless Relativistic Equation in the Two Component Theory
Feshbach-Villars equation fermionic Schwinger isocharge symmetry
2010/4/15
In this paper we have set up a path integral formalism for Feshbach-Villars equation by using the fermionic Schwinger model for Pauli matrices which describe an isocharge symmetry. This choice is made...