8,686 research outputs found
Acoustics of tachyon Fermi gas
We consider a Fermi gas of free tachyons as a continuous medium and find
whether it satisfies the causality condition. There is no stable tachyon matter
with the particle density below critical value and the Fermi momentum
that depends on the tachyon mass . The pressure
and energy density cannot be arbitrary small, but the situation is
not forbidden. Existence of shock waves in tachyon gas is also discussed. At
low density the tachyon matter remains stable but no shock wave
do survive.Comment: 14 pages, 2 figures (color
Shock waves in superconducting cosmic strings: growth of current
Intrinsic equations of motion of superconducting cosmic string may admit
solutions in the shock-wave form that implies discontinuity of the current term
\chi. The hypersurface of discontinuity propagates at finite velocity
determined by finite increment \Delta \chi =\chi_+ -\chi_-. The current
increases \chi_+>\chi_- in stable shocks but transition between spacelike (\chi
>0) and timelike (\chi<0) currents is impossible.Comment: 13 pages, 3 figure
FROM EXPERIENCE OF DEVELOPMENT AND DEPLOYMENT OF THE ELECTRONIC EDUCATIONAL RESOURCE «GAME THEORY»
В рамках статьи представлены возможности использования электронного образовательного ресурса по учебной дисциплине «Теория игр» с целью обеспечения прикладной направленности процесса обучения. Отмечается, что в процессе разработки и внедрения электронного образовательного ресурса следует учитывать, что он является дополнительным инструментальным средством и ресурсом, поддерживающим управление самостоятельной работой студентовWithin article possibilities of use of an electronic educational resource on a subject matter "Games theory" for the purpose of ensuring applied orientation of training activity are presented. It is noted that in development process and implementations of an electronic educational resource it is necessary to consider that it is the additional instrumental tool and a resource supporting management of independent work of student
Clifford algebras and universal sets of quantum gates
In this paper is shown an application of Clifford algebras to the
construction of computationally universal sets of quantum gates for -qubit
systems. It is based on the well-known application of Lie algebras together
with the especially simple commutation law for Clifford algebras, which states
that all basic elements either commute or anticommute.Comment: 4 pages, REVTeX (2 col.), low-level language corrections, PR
Double bracket dissipation in kinetic theory for particles with anisotropic interactions
We derive equations of motion for the dynamics of anisotropic particles
directly from the dissipative Vlasov kinetic equations, with the dissipation
given by the double bracket approach (Double Bracket Vlasov, or DBV). The
moments of the DBV equation lead to a nonlocal form of Darcy's law for the mass
density. Next, kinetic equations for particles with anisotropic interaction are
considered and also cast into the DBV form. The moment dynamics for these
double bracket kinetic equations is expressed as Lie-Darcy continuum equations
for densities of mass and orientation. We also show how to obtain a
Smoluchowski model from a cold plasma-like moment closure of DBV. Thus, the
double bracket kinetic framework serves as a unifying method for deriving
different types of dynamics, from density--orientation to Smoluchowski
equations. Extensions for more general physical systems are also discussed.Comment: 19 pages; no figures. Submitted to Proc. Roy. Soc.
Quantum gates and quantum algorithms with Clifford algebra technique
We use our Clifford algebra technique, that is nilpotents and projectors
which are binomials of the Clifford algebra objects with the
property , for representing quantum
gates and quantum algorithms needed in quantum computers in an elegant way. We
identify -qubits with spinor representations of the group SO(1,3) for a
system of spinors. Representations are expressed in terms of products of
projectors and nilpotents. An algorithm for extracting a particular information
out of a general superposition of qubit states is presented. It
reproduces for a particular choice of the initial state the Grover's algorithm.Comment: 9 pages, revte
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