13,153 research outputs found
Decoherence induced continuous pointer states
We investigate the reduced dynamics in the Markovian approximation of an
infinite quantum spin system linearly coupled to a phonon field at positive
temperature. The achieved diagonalization leads to a selection of the
continuous family of pointer states corresponding to a configuration space of
the one-dimensional Ising model. Such a family provides a mathematical
description of an apparatus with continuous readings.Comment: 8 page
Nonnegative Feynman-Kac Kernels in Schr\"{o}dinger's Interpolation Problem
The existing formulations of the Schr\"{o}dinger interpolating dynamics,
which is constrained by the prescribed input-output statistics data, utilize
strictly positive Feynman-Kac kernels. This implies that the related Markov
diffusion processes admit vanishing probability densities only at the
boundaries of the spatial volume confining the process. We extend the framework
to encompass singular potentials and associated nonnegative Feynman-Kac-type
kernels. It allows to deal with general nonnegative solutions of the
Schr\"{o}dinger boundary data problem. The resulting stochastic processes are
capable of both developing and destroying nodes (zeros) of probability
densities in the course of their evolution.Comment: Latex file, 25 p
Constraining from X-ray properties of Clusters of Galaxies at high redshift
Properties of high redshift clusters are a fundamental source of information
for cosmology. It has been shown by Oukbir and Blanchard (1997) that the
combined knowledge of the redshift distribution of X-ray clusters of galaxies
and the luminosity-temperature correlation, , provides a powerful test
of the mean density of the Universe. In this paper, we address the question of
the possible evolution of this relation from an observational point of view and
its cosmological significance. We introduce a new indicator in order to measure
the evolution of the X-ray luminosity-temperature relation with redshift and
take advantage of the recent availability of temperature information for a
significant number of high and intermediate redshift X-ray clusters of
galaxies. From our analysis, we find a slightly positive evolution in the
relation. This implies a high value of the density parameter of
. However, because the selection of clusters included inour sample
is unknown, this can be considered only as a tentative result. A
well-controlled X-ray selected survey would provide a more robust answer. XMM
will be ideal for such a program.Comment: 10 pages, LaTeX, 4 figures,5 tables, accepted by A&
A Way Out of the Quantum Trap
We review Event Enhanced Quantum Theory (EEQT). In Section 1 we address the
question "Is Quantum Theory the Last Word". In particular we respond to some of
recent challenging staments of H.P. Stapp. We also discuss a possible future of
the quantum paradigm - see also Section 5. In Section 2 we give a short sketch
of EEQT. Examples are given in Section 3. Section 3.3 discusses a completely
new phenomenon - chaos and fractal-like phenomena caused by a simultaneous
"measurement" of several non-commuting observables (we include picture of
Barnsley's IFS on unit sphere of a Hilbert space). In Section 4 we answer
"Frequently Asked Questions" concerning EEQT.Comment: Replacement. Corrected affiliation. Latex, one .jpg figure. To appear
in Proc. Conf. Relativistic Quantum Measurements, Napoli 1998, Ed. F.
Petruccion
Determination of the hypersonic-continuum/rarefied-flow drag coefficient of the Viking lander capsule 1 aeroshell from flight data
Results of an investigation to determine the full scale drag coefficient in the high speed, low density regime of the Viking lander capsule 1 entry vehicle are presented. The principal flight data used in the study were from onboard pressure, mass spectrometer, and accelerometer instrumentation. The hypersonic continuum flow drag coefficient was unambiguously obtained from pressure and accelerometer data; the free molecule flow drag coefficient was indirectly estimated from accelerometer and mass spectrometer data; the slip flow drag coefficient variation was obtained from an appropriate scaling of existing experimental sphere data. Comparison of the flight derived drag hypersonic continuum flow regime except for Reynolds numbers from 1000 to 100,000, for which an unaccountable difference between flight and ground test data of about 8% existed. The flight derived drag coefficients in the free molecule flow regime were considerably larger than those previously calculated with classical theory. The general character of the previously determined temperature profile was not changed appreciably by the results of this investigation; however, a slightly more symmetrical temperature variation at the highest altitudes was obtained
Completely Mixing Quantum Open Systems and Quantum Fractals
Departing from classical concepts of ergodic theory, formulated in terms of
probability densities, measures describing the chaotic behavior and the loss of
information in quantum open systems are proposed. As application we discuss the
chaotic outcomes of continuous measurement processes in the EEQT framework.
Simultaneous measurement of four noncommuting spin components is shown to lead
to a chaotic jump on quantum spin sphere and to generate specific fractal
images - nonlinear ifs (iterated function system). The model is purely
theoretical at this stage, and experimental confirmation of the chaotic
behavior of measuring instruments during simultaneous continuous measurement of
several noncommuting quantum observables would constitute a quantitative
verification of Event Enhanced Quantum Theory.Comment: Latex format, 20 pages, 6 figures in jpg format. New replacement has
two more references (including one to a paper by G. Casati et al on quantum
fractal eigenstates), adds example and comments concerning mixing properties
of of a two-level atom driven by a laser field, and also adds a number of
other remarks which should make it easier to follow mathematical argument
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