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From geodesics of the multipole solutions to the perturbed Kepler problem
geodesics multipole solutions perturbed Kepler problem
2010/12/20
A static and axisymmetric solution of the Einstein vacuum equations with a finite number of Relativistic Multipole Moments (RMM) is writ-ten in MSA coordinates up to certain order of approximation, an...
Two interacting electrons in a magnetic field: comparison of semiclassical, quantum, and variational solutions
interacting electrons time-dependent variational principle
2010/10/27
The quantum mechanical many-body problem is rarely analytically solvable. One notable exception is the case of two electrons interacting via a Coulomb potential in a uniform magnetic field. The motion...
Multidimensional quantum cosmic models: New solutions and gravitational waves
quantum cosmic gravitational waves
2010/3/18
This paper contains a discussion on the quantum cosmic models, starting with the interpretation that all of the accelerating effects in the current universe are originated from the existence of a nonz...
New Exact Traveling Wave Solutions for the Nonlinear Klein-Gordon Equation
Nonlinear Klein-Gordon equation trig-function series traveling wave solutions Jacobi elliptic functions
2010/4/8
In this paper we discuss the nonlinear Klein-Gordon equation and we derive the new traveling wave solutions by applying trigonometric function series method. Also, they are complex linear combinations...