6,627 research outputs found
Peeling Bifurcations of Toroidal Chaotic Attractors
Chaotic attractors with toroidal topology (van der Pol attractor) have
counterparts with symmetry that exhibit unfamiliar phenomena. We investigate
double covers of toroidal attractors, discuss changes in their morphology under
correlated peeling bifurcations, describe their topological structures and the
changes undergone as a symmetry axis crosses the original attractor, and
indicate how the symbol name of a trajectory in the original lifts to one in
the cover. Covering orbits are described using a powerful synthesis of kneading
theory with refinements of the circle map. These methods are applied to a
simple version of the van der Pol oscillator.Comment: 7 pages, 14 figures, accepted to Physical Review
SAR processing on the MPP
The processing of synthetic aperture radar (SAR) signals using the massively parallel processor (MPP) is discussed. The fast Fourier transform convolution procedures employed in the algorithms are described. The MPP architecture comprises an array unit (ARU) which processes arrays of data; an array control unit which controls the operation of the ARU and performs scalar arithmetic; a program and data management unit which controls the flow of data; and a unique staging memory (SM) which buffers and permutes data. The ARU contains a 128 by 128 array of bit-serial processing elements (PE). Two-by-four surarrays of PE's are packaged in a custom VLSI HCMOS chip. The staging memory is a large multidimensional-access memory which buffers and permutes data flowing with the system. Efficient SAR processing is achieved via ARU communication paths and SM data manipulation. Real time processing capability can be realized via a multiple ARU, multiple SM configuration
General approach to potentials with two known levels
We present the general form of potentials with two given energy levels
, and find corresponding wave functions. These entities are
expressed in terms of one function and one parameter -. We show how the quantum numbers of both levels depend on
properties of the function . Our approach does not need resorting to
the technique of supersymmetric (SUSY) quantum mechanics but automatically
generates both the potential and superpotential.Comment: 14 pages, REVTeX 3.0. In v.2 misprints and inaccuracies in
presentation corrected, discussion of 3-dim. case added. In v.3 misprint in
eq. 41, several typos and inaccuracies in English corrected. To be published
in J. of Phys. A: Math. Ge
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https://digitalcommons.library.umaine.edu/mmb-vp/5086/thumbnail.jp
Measurement of the 214Bi spectrum in the energy region around the Q-value of 76Ge neutrinoless double-beta decay
In this work we present the results obtained measuring the 214Bi spectrum
from a 226Ra source with a high purity germanium detector. Our attention was
mostly focused on the energy region around the Q-value of 76Ge neutrinoless
double-beta decay (2039.006 keV). The results of this measurement are strongly
related to the first indication for the neutrinoless double beta decay of 76Ge,
given by a recent analysis \cite{Evidence,KK02-PN,KK02-Found,KK-BigArt02} of
the data collected during ten years of measurements from the HEIDELBERG-MOSCOW
experiment.Comment: 10 pages, latex2e, 5 figures, see also Home Page of HEIDELBERG
Non-Accelerator Particle Physics Group: http://www.mpi-hd.mpg.de/non_acc
Generalized coherent states are unique Bell states of quantum systems with Lie group symmetries
We consider quantum systems, whose dynamical symmetry groups are semisimple
Lie groups, which can be split or decay into two subsystems of the same
symmetry. We prove that the only states of such a system that factorize upon
splitting are the generalized coherent states. Since Bell's inequality is never
violated by the direct product state, when the system prepared in the
generalized coherent state is split, no quantum correlations are created.
Therefore, the generalized coherent states are the unique Bell states, i.e.,
the pure quantum states preserving the fundamental classical property of
satisfying Bell's inequality upon splitting.Comment: 4 pages, REVTeX, amssymb style. More information on
http://www.technion.ac.il/~brif/science.htm
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