10,381 research outputs found
Physical Instances of Noncommuting Coordinates
Noncommuting spatial coordinates and fields can be realized in actual
physical situations. Plane wave solutions to noncommuting photodynamics exhibit
violaton of Lorentz invariance (special relativity).Comment: 13 pp., using sprocl and amsmath macros; Email correspondence to
[email protected]; talk given at Feza Gursey Institute, Istanbul, Turkey --
June 2001; "Symmetry Methods in Physics", Yerevan, Armenia -- July 2001; "CPT
and Lorentz Symmetry II", Bloomington, IN -- August 2001; "Particles and
Strings", Trento, Italy -- September 2001; "VIII Adriatic Meeting",
Dubrovnik, Croatia -- September 200
A new beam emission polarimetry diagnostic for measuring the magnetic field line angle at the plasma edge of ASDEX Upgrade
A new edge beam emission polarimetry diagnostic dedicated to the measurement of the magnetic
field line angle has been installed on the ASDEX Upgrade tokamak. The new diagnostic relies on the
motional Stark e
ff
ect and is based on the simultaneous measurement of the polarization direction of
the linearly polarized
π
(parallel to the electric field) and
σ
(perpendicular to the electric field) lines of
the Balmer line D
α
. The technical properties of the system are described. The calibration procedures
are discussed and first measurements are presentedEuropean Union (EUROfusion 633053)European Union (EUROfusion Grant WP14-FRF-IPP)Ministerio de Economía y Competitividad (Grant No. FJCI-201422139
Quantum Group Covariance and the Braided Structure of Deformed Oscillators
The connection between braided Hopf algebra structure and the quantum group
covariance of deformed oscillators is constructed explicitly. In this context
we provide deformations of the Hopf algebra of functions on SU(1,1). Quantum
subgroups and their representations are also discussed.Comment: 12 pages, to be published in JM
Analogies between self-duality and stealth matter source
We consider the problem of a self-interacting scalar field nonminimally
coupled to the three-dimensional BTZ metric such that its energy-momentum
tensor evaluated on the BTZ metric vanishes. We prove that this system is
equivalent to a self-dual system composed by a set of two first-order
equations. The self-dual point is achieved by fixing one of the coupling
constant of the potential in terms of the nonminimal coupling parameter. At the
self-dual point and up to some boundary terms, the matter action evaluated on
the BTZ metric is bounded below and above. These two bounds are saturated
simultaneously yielding to a vanishing action for configurations satisfying the
set of self-dual first-order equations.Comment: 6 pages. To be published in Jour. Phys.
Braided Oscillators
The braided Hopf algebra structure of the generalized oscillator is
investigated. Using the solutions two types of braided Fibonacci oscillators
are introduced. This leads to two types of braided Biedenharn-Macfarlane
oscillators.Comment: 12 pages, latex, some references added, published versio
Coordinate noncommutativity in strong non-uniform magnetic fields
Noncommuting spatial coordinates are studied in the context of a charged
particle moving in a strong non-uniform magnetic field. We derive a relation
involving the commutators of the coordinates, which generalizes the one
realized in a strong constant magnetic field. As an application, we discuss the
noncommutativity in the magnetic field present in a magnetic mirror.Comment: 4 page
Symmetry Breaking in the Schr\"odinger Representation for Chern-Simons Theories
This paper discusses the phenomenon of spontaneous symmetry breaking in the
Schr\"odinger representation formulation of quantum field theory. The analysis
is presented for three-dimensional space-time abelian gauge theories with
either Maxwell, Maxwell-Chern-Simons, or pure Chern-Simons terms as the gauge
field contribution to the action, each of which leads to a different form of
mass generation for the gauge fields.Comment: 16pp, LaTeX , UCONN-94-
Exotic galilean symmetry and the Hall effect
The ``Laughlin'' picture of the Fractional Quantum Hall effect can be derived
using the ``exotic'' model based on the two-fold centrally-extended planar
Galilei group. When coupled to a planar magnetic field of critical strength
determined by the extension parameters, the system becomes singular, and
``Faddeev-Jackiw'' reduction yields the ``Chern-Simons'' mechanics of Dunne,
Jackiw, and Trugenberger. The reduced system moves according to the Hall law.Comment: Talk given by P. A. Horvathy at the Joint APCTP- Nankai Symposium.
Tianjin (China), Oct.2001. To appear in the Proceedings, to be published by
Int. Journ. Mod. Phys. B. 7 pages, LaTex, IJMPB format. no figure
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