328 research outputs found
Quantum Vacuum: The Structure of Empty Space-Time and Quintessence with Gauge Symmetry Group
We consider the formation of structured and massless particles with spin 1,
by using the Yang-Mills like stochastic equations system for the group symmetry
without taking into account the nonlinear term
characterizing self-action. We prove that, in the first phase of relaxation, as
a result of multi-scale random fluctuations of quantum fields, massless
particles with spin 1, further referred as \emph{hions}, are generated in the
form of statistically stable quantized structures, which are localized on 2
topological manifolds. We also study the wave state and the geometrical
structure of the \emph{hion} when as a free particle and, accordingly, while it
interacts with a random environment becoming a quasi-particle with a finite
lifetime. In the second phase of relaxation, the vector boson makes spontaneous
transitions to other massless and mass states. The problem of entanglement of
two \emph{hions} with opposite projections of the spins and and the
formation of a scalar zero-spin boson are also thoroughly studied. We analyze
the properties of the scalar field and show that it corresponds to the
Bose-Einstein (BE) condensate. The scalar boson decay problems, as well as a
number of features characterizing the stability of BE condensate, are also
discussed. Then, we report on the structure of empty space-time in the context
of new properties of the quantum vacuum, implying on the existence of a natural
quantum computer with complicated logic, which manifests in the form of dark
energy. The possibilities of space-time engineering are also discussed.Comment: 40 pages, 4 figure
On the motion of classical three-body system with consideration of quantum fluctuations
We study the multichannel scattering in the classical three-body system and
show that the problem can be formulated as a motion of the point mass on a
curved hyper-surface of the energy of the body-system. It is proved that the
local coordinate system on curved space produces additional symmetries which
along with known integrals of motion allow to reduce the initial problem to the
system of the sixth order. Assuming, that the metric of the curved space has a
random component, we derive the system of \emph{stochastic differential
equations} (SED) describing the classical motion of the three-body system
taking into account the influence of random forces of various origin and in
particular the quantum fluctuations. Using SDEs of motion, we obtain the
partial differential equation of the second order describing the probability
distribution of the point mass in the momentum representation. It is shown,
that the equation for the probability distribution is solved jointly with the
classical equations, which in turn are responsible for the topological
peculiarities of tubes of quantum currents and transitions between asymptotic
channels. The latter allows to solve the problem of the limiting transition
from the quantum region to the region of classical chaotic motion (Poincar\'e
region) without violating the analogue of Arnold's theorem on quantum mapping.
The expression characterizing a measure of deviation of the quantum
probabilistic currents and thus the appearance of quantum chaos in a dynamical
system is determined
New Approach for Stochastic Quantum Processes, their Manipulation and Control
The dissipation and decoherence (for example, the effects of noise in quantum
computations), interaction with thermostat or in general with physical vacuum,
measurement and many other complicated problems of open quantum systems are a
consequence of interaction of quantum system with the environment. These
problems are described mathematically in terms of complex probabilistic process
(CPP). Particularly, treating the environment as a Markovian process we derive
an Langevin-Schroedinger type stochastic differential equation (SDE) for
describing the quantum system interacting with environment. For the 1D randomly
quantum harmonic oscillator (QHO) model L-Sh SDE is a solution in the form of
orthogonal CPP. On the basis of orthogonal CPP the stochastic density matrix
(SDM) method is developed and in its framework relaxation processes in the
uncountable dimension closed system of "QHO+environment" is investigated. With
the help of SDM method the thermodynamical potentials, like nonequilibrium
entropy and the energy of ground state are exactly constructed. The dispersion
for different operators are calculated. In particular, the expression for
uncertain relations depending on parameter of interaction with environment is
obtained. The Weyl transformation for stochastic operators is specified. Ground
state Winger function is developed in detail.Comment: 13 page
Coherent production of the long-lived pionium nP states in relativistic nucleus-nucleus collisions
The coherent production of the nP states of the atoms
() in relativistic nucleus-nucleus collisions is considered as a
possible source of the beam for the pionium Lamb-shift
measurement. A general expression for estimation of the yield is
derived in the framework of the equivalent photon approximation.Comment: pdflatex, 4 pages, 1 figure: v2: typos are correcte
Lepton pair production in relativistic ion collisions to all orders in with logarithmic accuracy
The problem of summation of the perturbation series for the process of lepton
pair production in relativistic ion collisions is investigated. We show that
the amplitude of this process can be obtained in the compact analytical form,
if one confines to the terms growing as a powers of logarithm energy in the
cross section, the approximation of which is completely justified for such
colliders as RHIC and LHC. Using this result we calculate the Coulomb
corrections to the cross section of the process under consideration.Comment: 11 pages, 3 figure
Photoproduction of mesons off nuclei and impact of polarization on meson-nucleon interaction
We consider photoproduction of mesons off complex nuclei to study
interactions of transversely and longitudinally polarized vector mesons with
nucleons. Whereas the total cross section for interactions of the transversely
polarized vector mesons with nucleons can be obtained
from coherent photoproduction, measurements of vector meson photoproduction in
the incoherent region provide a unique opportunity to extract the total cross
section for longitudinally polarized mesons interacting with nucleons
, which has not yet been measured and strongly depends
on theoretical approaches. This work is stimulated by the construction of the
new experiment GlueX at Jefferson Lab, designed to study the photoproduction of
mesons in a large beam energy range up to 12 GeV.Comment: 14 pages,3 figure
Random 3D Spin System Under the External Field and Dielectric Permittivity Superlattice Formation
A dielectric medium consisting of roughly polarized molecules is treated as a
3D disordered spin system (spin glass). A microscopic approach for the study of
statistical properties of this system on micrometer space scale and nanosecond
time scale of standing electromagnetic wave is developed. Using ergodic
hypothesis the initial 3D spin problem is reduced to two separate 1D problems
along external field propagation. The first problem describes the disordered
spin chain system while the second one describes a disordered N-particle
quantum system with relaxation in the framework of Langevin-Schroedinger
(L-Sch) type equation. Statistical properties of both systems are investigated
in detail. Basing on these constructions, the coefficient of polarizability,
related to collective orientational effects, is calculated. Clausius-Mossotti
formula for dielectric constant is generalized. For dielectric permittivity
function generalized equation is found taking into account Clausius-Mossotti
generalized formula.Comment: 28 pages, 8 figure
Challenge of lepton pair production in peripheral collisions of relativistic ions
The new approach to the lepton pair production in the Coulomb field of two
highly relativistic nuclei was developed.Solving the operator equation for
lepton scattering in arbitrary Coulomb field, we obtain the amplitudes for
lepton scattering in the Coulomb potential in terms of light cone variables.
Using the Watson expansion for the amplitude of lepton scattering on two
centers we propose prescription which allows one to construct the amplitude for
lepton pair production in the Coulomb field of two highly relativistic ions. We
show that for the certain sums of finite terms of the Watson series numerous
cancellations lead to infrared stability of amplitude.Comment: 9 pages, 1 figur
Randomly Walking 1D Quantum Harmonic Oscillator. Averaged Transition Probabilities
One-dimensional problem for quantum harmonic oscillator with "regular+random"
frequency subjected to the external "regular+random" force is considered.
Averaged transition probabilities are found.Comment: LaTeX, SPROCL.STY required, presented on 3rd Int. Workshop "Quantum
Systems: New Trends & Methods" (Minsk, Belarus
Random motion of quantum reactive harmonic oscillator. Thermodynamics of Vacuum of Asymptotic Subspace
The system of oscillator interacting with vacuum is considered as a problem
of random motion of quantum reactive harmonic oscillator (QRHO). It is
formulated in terms of a wave functional regarded as complex probability
process in the extended space. This wave functional obeys some stochastic
differential equation (SDE). Based on the nonlinear Langevin type SDE of second
order, introduced in the functional space R{W(t)}, the variables in original
equation are separated. The general measure in the space R{W(t)} of the
Fokker-Plank type is obtained and expression for total wave function (wave
mixture) of random QRHO is constructed as functional expansion over the
stochastic basis set. The pertinent transition matrix S_br is constructed. For
Wiener type measure W(t) of functional space the exact representation for
''vacuum-vacuum'' transition probability is obtained. The thermodynamics of
vacuum is described in detail for the asymptotic space R1_as. The exact values
for Energy, shift and expansion of ground state of oscillator and its Entropy
are calculated.Comment: LaTeX, 19 pages, 5 figures, title change
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