686 research outputs found
Correlations in Chaotic Eigenfunctions at Large Separation
An energy eigenfunction in a classically chaotic system is known to have
spatial correlations which (in the limit of small ) are governed by a
microcanonical distribution in the classical phase space. This result is valid,
however, only over coordinate distances which are small compared to any
relevant classical distance scales (such as the cyclotron radius for a charged
particle in a magnetic field). We derive a modified formula for the correlation
function in the regime of large separation. This then permits a complete
description, over all length scales, of the statistical properties of chaotic
eigenfunctions in the limit. Applications to quantum dots are
briefly discussed.Comment: 8 pages, 1 figure, RevTeX, eps
Berry's conjecture and information theory
It is shown that, by applying a principle of information theory, one obtains
Berry's conjecture regarding the high-lying quantal energy eigenstates of
classically chaotic systems.Comment: 8 pages, no figure
Nongravitational decay of cosmic strings
We investigate the decay of loops of cosmic string via radiation of nongravitational energy. We show that emission of particles other than gravitons and Goldstone bosons is not significant. We use methods which are considerably more rigorous than those used in the past to draw similar conclusions
A Simple Way of Calculating Cosmological Relic Density
A simple procedure is presented which leads to a dramatic simplification in
the calculation of the relic density of stable particles in the Universe.Comment: 7 pages in LaTex, no figures; University of Michigan preprint
UM-TH-94-02 (February 1994). Changes: a coefficient in (Eq. 16)
corrected; added Acknowledgements and revised Note Added; plain LaTex only
(no need to use RevTex
Relic Abundances and the Boltzmann Equation
I discuss the validity of the quantum Boltzmann equation for the calculation
of WIMP relic densities.Comment: 5 pages, no figures; talk given at Dark Matter 2000; an important
reference is added in the revised versio
A Search For Solar Hadronic Axions Using Kr-83
We introduce a new experimental method for solar hadronic axions search. It
is suggested that these axions are created in the Sun during M1 transition
between the first thermally excited level at 9.4 keV and the ground state in
. Our method is based on axion detection via resonant absorption
process by the same nucleus in the laboratory. We use proportional gas counter
filled with krypton to detect signals for axions. With this setup, target and
detector are the same which increases the efficiency of the experiment. At
present, an upper limit on hadronic axion mass of 5.5 keV at the 95% confidence
level is obtained.Comment: 3 pages, contribution to ISRP9 Conference in Cape Town 2003. Version
accepted by Radiat. Phys. Che
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