73 research outputs found
Classical and Quantum Nonultralocal Systems on the Lattice
We classify nonultralocal Poisson brackets for 1-dimensional lattice systems
and describe the corresponding regularizations of the Poisson bracket relations
for the monodromy matrix . A nonultralocal quantum algebras on the lattices for
these systems are constructed.For some class of such algebras an
ultralocalization procedure is proposed.The technique of the modified
Bethe-Anzatz for these algebras is developed.This technique is applied to the
nonlinear sigma model problem.Comment: 33 pp. Latex. The file is resubmitted since it was spoiled during
transmissio
Drinfeld-Sokolov reduction for difference operators and deformations of W-algebras. II. General Semisimple Case
The paper is the sequel to q-alg/9704011. We extend the Drinfeld-Sokolov
reduction procedure to q-difference operators associated with arbitrary
semisimple Lie algebras. This leads to a new elliptic deformation of the Lie
bialgebra structure on the associated loop algebra. The related classical
r-matrix is explicitly described in terms of the Coxeter transformation. We
also present a cross-section theorem for q-gauge transformations which
generalizes a theorem due to R.Steinberg.Comment: 19 pp., AMS-LaTeX. The paper replaces a temporarily withdrawn text;
the first part (written by E. Frenkel, N. Reshetikhin, and M. A.
Semenov-Tian-Shansky) is available as q-alg/970401
Processing of basalt fiber production waste
The production of mineral rock wool forms a large proportion of off-test waste products. In addition to the cost of their production, there are costs for processing and utilization, such as transportation, disposal and preservation. Besides, wastes have harmful effect on the environment. This necessitates research aimed to study the stress-related characteristics of materials, their recyclability and use in the production of heat-saving product
Schwinger particle production: rapid switch off of the external field versus dynamical assistance
We consider the process of electron-positron pair production in the presence
of strong electric backgrounds being rapidly switched on and off and examine
the total particle yield. For sufficiently sharp field profiles, the particle
number can be substantially enhanced. It is demonstrated that this enhancement
is quite similar to the phenomenon of dynamical assistance by a weak
high-frequency field superimposed on a strong background. Both these mechanisms
are analyzed by means of exact numerical computations and the locally-constant
field approximation. We identify the time scale of the switching profile
leading to the pair-production enhancement and argue that the particle yield is
highly unlikely to be increased by shaping the switch off of realistic laser
pulses. On the other hand, we confirm that it is feasible to observe the
dynamically assisted Schwinger effect by adding a rapidly oscillating field to
a strong electric background.Comment: 9 pages, 5 figures, 1 tabl
Kinetic description of vacuum production in strong electric fields of arbitrary polarization
We present a detailed analysis of the self-consistent system of kinetic
equations (KEs) describing electron-positron pair production from vacuum under
the action of a spatially homogeneous time-dependent electric field of
arbitrary polarization. The physical significance of all the basic functions of
the kinetic theory is ascertained. It is demonstrated that the total system of
the KEs consists of two coupled quasiparticle and spin subsystems with their
integrals of motion. A projection method is proposed in order to obtain the KE
system in two particular cases: linearly polarized external electric field and
(2+1)-dimensional description of quasiparticles in graphene. We also address
the energy conservation law taking into account the internal plasma field and
describe an alternative rigorous derivation of the KE system.Comment: 15 page
Multiplicative slices, relativistic Toda and shifted quantum affine algebras
We introduce the shifted quantum affine algebras. They map homomorphically
into the quantized -theoretic Coulomb branches of SUSY
quiver gauge theories. In type , they are endowed with a coproduct, and they
act on the equivariant -theory of parabolic Laumon spaces. In type ,
they are closely related to the open relativistic quantum Toda lattice of type
.Comment: 125 pages. v2: references updated; in section 11 the third local Lax
matrix is introduced. v3: references updated. v4=v5: 131 pages, minor
corrections, table of contents added, Conjecture 10.25 is now replaced by
Theorem 10.25 (whose proof is based on the shuffle approach and is presented
in a new Appendix). v6: Final version as published, references updated,
footnote 4 adde
Higgsless Electroweak Theory following from the Spherical Geometry
A new formulation of the Electroweak Model with 3-dimensional spherical
geometry in the target space is suggested. The free Lagrangian in the spherical
field space along with the standard gauge field Lagrangian form the full
Higgsless Lagrangian of the model, whose second order terms reproduce the same
fields with the same masses as the Standard Electroweak Model. The vector
bosons and electron masses are generated automatically, so there is no need in
special mechanism.Comment: 6 page
Investigation of the properties of quantum-dimensional semiconductor particles A3B5 by scanning probe microscopy, obtained by liquid chemical etching
The study was carried out with the financial support of the Russian Foundation for Basic Research in the framework of scientific projects 17-07-00407-а and 17-07-00139
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