1,196 research outputs found
A String Approximation for Cooper Pair in High-T superconductivity
It is assumed that in some sense the High-T superconductivity is similar
to the quantum chromodynamics (QCD). This means that the phonons in High-T
superconductor have the strong interaction between themselves like to gluons in
the QCD. At the experimental level this means that in High-T superconductor
exists the nonlinear sound waves. It is possible that the existence of the
strong phonon-phonon interaction leads to the confinement of phonons into a
phonon tube (PT) stretched between two Cooper electrons like a hypothesized
flux tube between quark and antiquark in the QCD. The flux tube in the QCD
brings to a very strong interaction between quark-antiquark, the similar
situation can be in the High-T superconductor: the presence of the PT can
essentially increase the binding energy for the Cooper pair. In the first rough
approximation the PT can be approximated as a nonrelativistic string with
Cooper electrons at the ends. The BCS theory with such potential term is
considered. It is shown that Green's function method in the superconductivity
theory is a realization of discussed Heisenberg idea proposed by him for the
quantization of nonlinear spinor field. A possible experimental testing for the
string approximation of the Cooper pair is offered.Comment: Essential changes: (a) the section is added in which it is shown that
Green's function method in the superconductivity theory is a realization of
discussed Heisenberg quantization method; (b) Veneziano amplitude is
discussed as an approximation for the 4-point Green's function in High-T_c;
(c) it is shown that Eq.(53) has more natural solution on the layer rather
than on 3 dimensional spac
Spherically Symmetric Solution for Torsion and the Dirac equation in 5D spacetime
Torsion in a 5D spacetime is considered. In this case gravitation is defined
by the 5D metric and the torsion. It is conjectured that torsion is connected
with a spinor field. In this case Dirac's equation becomes the nonlinear
Heisenberg equation. It is shown that this equation has a discrete spectrum of
solutions with each solution being regular on the whole space and having finite
energy. Every solution is concentrated on the Planck region and hence we can
say that torsion should play an important role in quantum gravity in the
formation of bubbles of spacetime foam. On the basis of the algebraic relation
between torsion and the classical spinor field in Einstein-Cartan gravity the
geometrical interpretation of the spinor field is considered as ``the square
root'' of torsion.Comment: 7 pages, REVTEX, essential changing of tex
Formulation of the Spinor Field in the Presence of a Minimal Length Based on the Quesne-Tkachuk Algebra
In 2006 Quesne and Tkachuk (J. Phys. A: Math. Gen. {\bf 39}, 10909, 2006)
introduced a (D+1)-dimensional -two-parameter Lorentz-covariant
deformed algebra which leads to a nonzero minimal length. In this work, the
Lagrangian formulation of the spinor field in a (3+1)-dimensional space-time
described by Quesne-Tkachuk Lorentz-covariant deformed algebra is studied in
the case where up to first order over deformation parameter
. It is shown that the modified Dirac equation which contains higher
order derivative of the wave function describes two massive particles with
different masses. We show that physically acceptable mass states can only exist
for . Applying the condition
to an electron, the upper bound for the isotropic
minimal length becomes about . This value is near to the
reduced Compton wavelength of the electron and is not incompatible with the results obtained for
the minimal length in previous investigations.Comment: 11 pages, no figur
On geometric relativistic foundations of matter field equations and plane wave solutions
In this paper, we start from the geometric relativistic foundations to define
the basis upon which matter field theories are built, and their wave solutions
are investigated, finding that they display repulsive interactions able to
reproduce the exclusion principle in terms of its effects in a dynamical way,
then discussing possible consequences and problems.Comment: 11 page
On the instability of classical dynamics in theories with higher derivatives
The development of instability in the dynamics of theories with higher
derivatives is traced in detail in the framework of the Pais-Uhlenbeck fourth
oder oscillator. For this aim the external friction force is introduced in the
model and the relevant solutions to equations of motion are investigated. As a
result, the physical implication of the energy unboundness from below in
theories under consideration is revealed.Comment: 9 pages, no figures and no tables, revtex4; a few misprints are
correcte
Thick de Sitter brane solutions in higher dimensions
We present thick de Sitter brane solutions which are supported by two
interacting {\it phantom} scalar fields in five-, six- and seven-dimensional
spacetime. It is shown that for all cases regular solutions with anti-de Sitter
asymptotic (5D problem) and a flat asymptotic far from the brane (6D and 7D
cases) exist. We also discuss the stability of our solutions.Comment: typos correcte
Boson stars from a gauge condensate
The boson star filled with two interacting scalar fields is investigated. The
scalar fields can be considered as a gauge condensate formed by SU(3) gauge
field quantized in a non-perturbative manner. The corresponding solution is
regular everywhere, has a finite energy and can be considered as a quantum
SU(3) version of the Bartnik - McKinnon particle-like solution.Comment: errors are corrected, one reference is adde
Transferring elements of a density matrix
We study restrictions imposed by quantum mechanics on the process of matrix
elements transfer. This problem is at the core of quantum measurements and
state transfer. Given two systems \A and \B with initial density matrices
and , respectively, we consider interactions that lead to
transferring certain matrix elements of unknown into those of the
final state of \B. We find that this process eliminates the
memory on the transferred (or certain other) matrix elements from the final
state of \A. If one diagonal matrix element is transferred, , the memory on each non-diagonal element
is completely eliminated from the final density operator of
\A. Consider the following three quantities \Re \la_{a\not =b}, \Im
\la_{a\not =b} and \la_{aa}-\la_{bb} (the real and imaginary part of a
non-diagonal element and the corresponding difference between diagonal
elements). Transferring one of them, e.g., \Re\tir_{a\not = b}=\Re\la_{a\not =
b}, erases the memory on two others from the final state of \A.
Generalization of these set-ups to a finite-accuracy transfer brings in a
trade-off between the accuracy and the amount of preserved memory. This
trade-off is expressed via system-independent uncertainty relations which
account for local aspects of the accuracy-disturbance trade-off in quantum
measurements.Comment: 9 pages, 2 table
Gauged System Mimicking the G\"{u}rsey Model
We comment on the changes in the constrained model studied earlier when
constituent massless vector fields are introduced. The new model acts like a
gauge-Higgs-Yukawa system, although its origin is different.Comment: 8 pages, RevTex4; published versio
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