120 research outputs found
TM-Surface Waves along the Boundary between two Nonlinear Anisotropic Dielectrics
It is shown that the Maxwell's equations for surface electromagnetic
TM-waves, propagating along the plane boundary between two nonlinear
dielectrics with arbitrary diagonal tensor of dielectric permittivity,
depending of |{\bf E}|, can be integrated in quadrature.Comment: LaTeX, 7 page
Random Solitons Realization of Quantum Mechanics and Stochastic Qubits
Stochastic realization of the wave function in quantum mechanics, with the
inclusion of soliton representation of extended particles, is discussed. The
concept of Stochastic Qubits is used for quantum computing modeling.Comment: 7 pages, LaTe
An Algorithm of a Virtual Quantum Computer Model on a Classical Computer
Construction of virtual quantum states became possible due to the hypothesis
on the nature of quantum states quant-ph/0212139. This study considers a
stochastic geometrical background (stochastic gravitational background)
generating correlation (or, coherency) of various quantum non-interacting
objects. In the quantum state virtual model, a simple method of generating of
two (or more) dichotomic signals with controlled mutual correlation factor from
a single continuous stochastic process is implemented. Basing on the system
random number generator of the computer, a model of the stationary random phase
(with the nature of random geometrical background).Comment: 6 pages, Late
Bell's Theorem and Entangled Solitons
Entangled solitons construction being introduced in the nonlinear spinor
field model, the Einstein|Podolsky|Rosen (EPR) spin correlation is calculated
and shown to coincide with the quantum mechanical one for the 1/2-spin
particles.Comment: 3 pages, no figures. arXiv admin note: substantial text overlap with
arXiv:quant-ph/070314
Probabilistic Simulation of Quantum Computation
Special stochastic representation of the wave function in Quantum Mechanics
(QM), based on soliton realization of extended particles, is suggested with the
aim to model quantum states via classical computer. Entangled solitons
construction being introduced in the nonlinear spinor field model, the
Einstein, Podolsky, Rosen (EPR) spin correlation is calculated and shown to
coincide with the quantum mechanical one for the spin-1/2 particles in the
singlet state. The concept of stochastic qubits is used for quantum computing
modelling.Comment: 12 page
Droplets in General Relativity: Exact Self-Consistent Solutions to the Interacting Scalar and Electromagnetic Field Equations
It is shown, for the self-consistent system of scalar, electro-magnetic and
gravitational fields in general relativity, that the equations of motion admit
a special kind of solutions with spherical or cylindrical symmetry. For these
solutions, the physical fields vanish and the space-time is flat outside of the
critical sphere or cylinder. Therefore, the mass and the electric charge of
these configurations are zero. The principal difference between droplet-like
solutions with spherical symmetry and those with cylindrical one has been
established. In the first case there exists a possibility of continuous
transformation of droplet-like configuration into the solitonian one, when for
the second case there is no such a possibility.Comment: LaTeX, 12 page
Droplet-like Solutions to the Nonlinear Scalar Field Equations in the Robertson-Walker Space-time and their Stability
Exact droplet-like solutions to the nonlinear scalar field equations have
been obtained in the Robertson-Walker space-time and their linearized stability
has been proved.Comment: LaTeX, 6 page
Electromagnetic field with induced massive term: Case with spinor field
We consider an interacting system of spinor and electromagnetic field,
explicitly depending on the electromagnetic potentials, i.e., interaction with
broken gauge invariance. The Lagrangian for interaction is chosen in such a way
that the electromagnetic field equation acquires an additional term, which in
some cases is proportional to the vector potential of the electromagnetic
field. This equation can be interpreted as the equation of motion of photon
with induced non-trivial rest-mass. This system of interacting spinor and
scalar fields is considered within the scope of Bianchi type-I (BI)
cosmological model. It is shown that, as a result of interaction the
electromagnetic field vanishes at and the isotropization process
of the expansion takes place.Comment: 8 page
Exact Self-consistent Solutions to the Interacting Spinor and Scalar Field Equations in Bianchi Type-I Space-time
Self-consistent solutions to the system of spinor and scalar field equations
in General Relativity are studied for the case of Bianchi type-I space-time. It
should be emphasized the absence of initial singularity for some types of
solutions and also the isotropic mode of space-time in some special case.Comment: LaTeX, 10 page
Soliton Model of Hydrogen Atom: Resonance Effects
Some first principles that, we believe, could serve as foundation for quantum theory of extended particles are formulated. It is also shown that in the point-like particles limit the non-relativistic quantum mechanics can be restored. As an illustration the soliton model of hydrogen atom is considered
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