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Exact Analytic Solution for the Rotation of a Rigid Body having Spherical Ellipsoid of Inertia and Subjected to a Constant Torque
rigid body dynamics kinematics rotation integrable cases of motion spherical ellipsoid of inertia
2012/4/24
The exact analytic solution is introduced for the rotational motion of a rigid body having three equal principal moments of inertia and subjected to an external torque vector which is constant for an ...
Complex-Dynamical Solution to Many-Body Interaction Problem and Its Applications in Fundamental Physics
Complex-Dynamical Solution Many-Body Interaction Problem Fundamental Physics quantum mechanics
2012/4/27
We review the recently proposed unreduced, complex-dynamical solution to many-body problem with arbitrary interaction and its application to unified solution of fundamental problems, including foundat...
Complex-Dynamical Solution to Many-Body Interaction Problem and Its Applications in Fundamental Physics
Complex-Dynamical Solution Many-Body Interaction Problem Fundamental Physics General Physics
2012/4/25
We review the recently proposed unreduced, complex-dynamical solution to many-body problem with arbitrary interaction and its application to unified solution of fundamental problems, including foundat...
Iterative Solution of Maxwell's Equations for an Induction Motor
Iterative Solution of Maxwell's Equations Induction Motor General Physics
2012/4/19
In this work we use classical electromagnetism to analyse a three-phase induction motor. We first cast the motor as a boundary value problem involving two phenomenological time-constants. These are de...
Integral-Balance Solution to the Stokes' First Problem of a Viscoelastic Generalized Second Grade Fluid
Stokes’ first problem viscoelastic generalized second grade fluid Integral-balance solution Deborah number
2011/9/21
Abstract: Integral balance solution employing entire domain approximation and the penetration dept concept to the Stokes' first problem of a viscoelastic generalized second grade fluid has been develo...
A solution of the non-uniqueness problem of the Dirac Hamiltonian and energy operators
non-uniqueness problem Dirac Hamiltonian energy operators General Relativity and Quantum Cosmology
2011/10/9
Abstract: In a general spacetime, the possible choices for the field of orthonormal tetrads lead (in standard conditions) to equivalent Dirac equations. However, the Hamiltonian operator is got from r...
Closed form solution for a double quantum well using Grobner basis
Heterostructures Double quantum well Eigenfunctions Grobner basis Optical dipole matrix element
2011/7/27
Abstract: Analytical expressions for spectrum, eigenfunctions and dipole matrix elements of a square double quantum well (DQW) are presented for a general case when the potential in different regions ...
Closed form solution for a double quantum well using Gr鯾ner basis
Heterostructures, Double quantum well, Eigenfunctions, Gr╫bner basis,Optical dipole matrix element, Closed form solution
2011/9/29
Analytical expressions for spectrum, eigenfunctions and dipole matrix elements of a square double quantum well (DQW) are presented for a general case when the potential in different regions of the DQW...
Sums of alternating products of Riemann zeta values and solution of a Monthly problem
first Stieltjes constant Euler constant Riemann zeta function digamma function
2011/7/26
Abstract: We solve problem 11585 proposed by B. Burdick, AMM June-July 2011 {bf 118} (6), p. 558 for the sum of certain products of Riemann zeta function values. We further point out an alternating su...
Exact solution for eigenfunction statistics at the center-of-band anomaly in the Anderson localization model
Exact solution for eigenfunction statistics Anderson localization model
2010/11/24
An exact solution is found for the problem of the center-of-band (E = 0) anomaly in the one-
dimensional (1D) Anderson model of localization. By deriving and solving an equation for the
generating f...
Post-Newtonian effects on Lagrange's equilateral triangular solution for the three-body problem
Post-Newtonian effects Lagrange's equilateral triangular solution three-body problem
2010/12/20
We investigate the post-Newtonian effects on Lagrange’s equilateral triangular solution for the three-body problem. It is concluded that the equilateral triangular configuration can satisfy the post-N...
A solution of the Gross-Witten matrix model by nonlinear random processes
imulation methods planar approximation lattice field theory random processes
2011/1/14
We illustrate the stochastic method for solving the Schwinger-Dyson equations in large-N quantum field theories described in ArXiv:1009.4033 on the example of the Gross-Witten unitary matrix model.
Exact solution for a quantum nonequilibrium steady state exhibiting phase transition and a matrix product representation
quantum nonequilibrium steady state matrix product representation
2010/11/18
We study a 1-dimensional XX chain under nonequilibrium driving and local dephasing described
by the Lindblad master equation. Analytical solution for the nonequilibrium steady state found for particu...
A geometric solution to the coincidence problem, and the size of the landscape as the origin of hierarchy
geometric solution coincidence problem landscape
2010/12/21
Without assuming necessary conditions for observers such as galaxies or entropy production, we
show that the causal patch measure predicts the coincidence of vacuum energy and present matter
density...
One-loop quantum cosmological correction to the gravitational constant using the kink solution in de Sitter universe
One-loop correction kink energy shape invariance zeta func-tion regularization
2010/12/20
In this paper, we show the equivalence between a classical static scalar field theory and the (closed) de Sitter cosmological model whose potential represents shape invariance property.