356 research outputs found
AdS-Carroll Branes
Coset methods are used to determine the action of a co-dimension one brane
(domain wall) embedded in (d+1)-dimensional AdS space in the Carroll limit in
which the speed of light goes to zero. The action is invariant under the
non-linearly realized symmetries of the AdS-Carroll spacetime. The
Nambu-Goldstone field exhibits a static spatial distribution for the brane with
a time varying momentum density related to the brane's spatial shape as well as
the AdS-C geometry. The AdS-C vector field dual theory is obtained.Comment: 47 page
Lorentz Transformation from Symmetry of Reference Principle
The Lorentz Transformation is traditionally derived requiring the Principle
of Relativity and light-speed universality. While the latter can be relaxed,
the Principle of Relativity is seen as core to the transformation. The present
letter relaxes both statements to the weaker, Symmetry of Reference Principle.
Thus the resulting Lorentz transformation and its consequences (time
dilatation, length contraction) are, in turn, effects of how we manage space
and time.Comment: 2 page
Quantum anticentrifugal potential in a bent waveguide
We show the existence of an anticentrifugal force for a quantum particle in a
bent waveguide. This counterintuitive force due to dimensionality was shown to
exist in a flat space but there it needs an additional -like
potential at the origin in order to brake the translational invariance and to
exhibit localized states. In the case of the bent waveguide there is no need of
any additional potential since here the boundary conditions break the symmetry.
The effect may be observed in interference experiments which are sensitive to
the additional phase of the wavefunction gained in the bent regions and can
find application in distinguishing between straight and bent geometries
N=2 Supersymmetric Planar Particles and Magnetic Interaction from Noncommutativity
We describe a N=2 supersymmetric extension of the nonrelativistic
(2+1)-dimensional model describing particles on the noncommutative plane with
scalar (electric) and vector (magnetic) interactions.
First, we employ the N=2 superfield technique and show that in the presence
of a scalar N=2 superpotential the magnetic interaction is implied by the
presence of noncommutativity of position variables. Further, by expressing the
supersymmetric Hamiltonian as a bilinear in N=2 supercharges we obtain two
supersymmetric models with electromagnetic interactions and two different
noncanonical symplectic structures describing noncommutativity. We show that
both models are related by a map of the Seiberg-Witten type.Comment: LaTeX,12 pages.Minor corrections; version appears in PL
Lie Bialgebra Structures for Centrally Extended Two- Dimensional Galilei Algebra and their Lie-Poisson Counterparts
All bialgebra structures for centrally extended Galilei algebra are
classified. The corresponding Lie-Poisson structures on centrally extended
Galilei group are found.Comment: Eq. (11) changed, 15 pages, LaTeX fil
Equilibrium Relativistic Mass Distribution
The relativistic Maxwell-Boltzmann distribution for the system of events
with motion in space-time parametrized by an invariant ``historical time''
is considered without the simplifying approximation ,
where is a given intrinsic property of the events. The relativistic mass
distribution is obtained and the average values of and are
calculated. The average value of the energy in nonrelativistic limit gives a
correction of the order of 10\% to the Dulong-Petit law. Expressions for the
pressure and the density of events are obtained and the ideal gas law is
recovered.Comment: TAUP-2048-9
Galilean Limit of Equilibrium Relativistic Mass Distribution
The low-temperature form of the equilibrium relativistic mass distribution is
subject to the Galilean limit by taking In this limit
the relativistic Maxwell-Boltzmann distribution passes to the usual
nonrelativistic form and the Dulong-Petit law is recovered.Comment: TAUP-2081-9
Quantum mechanical description of Stern-Gerlach experiments
The motion of neutral particles with magnetic moments in an inhomogeneous
magnetic field is described in a quantum mechanical framework. The validity of
the semi-classical approximations which are generally used to describe these
phenomena is discussed. Approximate expressions for the evolution operator are
derived and compared to the exact calculations. Focusing and spin-flip
phenomena are predicted. The reliability of Stern-Gerlach experiments to
measure spin projections is assessed in this framework.Comment: 12 pages, 7 eps figures included, revtex, submitted to PR
Standard and Generalized Newtonian Gravities as ``Gauge'' Theories of the Extended Galilei Group - I: The Standard Theory
Newton's standard theory of gravitation is reformulated as a {\it gauge}
theory of the {\it extended} Galilei Group. The Action principle is obtained by
matching the {\it gauge} technique and a suitable limiting procedure from the
ADM-De Witt action of general relativity coupled to a relativistic mass-point.Comment: 51 pages , compress, uuencode LaTex fil
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