98 research outputs found
Chaos induced by Pauli blocking
Dynamics of classical scattering in the system of fermions is studied. The
model is based on the coherent state representation and the equations of motion
for fermions are derived from the time-dependent variational principle. It is
found that the antisymmetrization due to the Pauli exclusion principle, may
lead to hyperbolic chaotic scattering even in the absence of interaction
between particles. At low bombarding energies, the same effect leads to the
screening of the hard, short-ranged component in the two particle interaction
and thus regularizes the dynamics.Comment: 10 pages, LaTeX
Spectral Decorrelation of Nuclear Levels in the Presence of Continuum Decay
The fluctuation properties of nuclear giant resonance spectra are studied in
the presence of continuum decay. The subspace of quasi-bound states is
specified by one-particle one-hole and two-particle two-hole excitations and
the continuum coupling is generated by a scattering ensemble. It is found that,
with increasing number of open channels, the real parts of the complex
eigenvalues quickly decorrelate. This appears to be related to the transition
from power-law to exponential time behavior of the survival probability of an
initially non-stationary state.Comment: 10 Pages, REVTEX, 4 PostScript figure
RSVP APPROACH TO THE QUANTIZATION AND TUNNELING IN MULTIDIMENSIONAL HALMITONIAN SYSTEMS
We show that the regularity and single-valuedness (RSV) condition imposed on the gauge invariant solutions of quantal hamiltonian system allows to describe the spontaneous fission and quantized bound states. Few illustrative examples are summarized
Collectivity Embedded in Complex Spectra of Finite Interacting Fermi Systems: Nuclear Example
The mechanism of collectivity coexisting with chaos in a finite system of
strongly interacting fermions is investigated. The complex spectra are
represented in the basis of two-particle two-hole states describing the nuclear
double-charge exchange modes in Ca. An example of
excitations shows that the residual interaction, which generically implies
chaotic behavior, under certain specific and well identified conditions may
create strong transitions, even much stronger than those corresponding to a
pure mean-field picture. Such an effect results from correlations among the
off-diagonal matrix elements, is connected with locally reduced density of
states and a local minimum in the information entropy.Comment: 16 pages, LaTeX2e, REVTeX, 8 PostScript figures, to appear in
Physical Review
Self-Similar Log-Periodic Structures in Western Stock Markets from 2000
The presence of log-periodic structures before and after stock market crashes
is considered to be an imprint of an intrinsic discrete scale invariance (DSI)
in this complex system. The fractal framework of the theory leaves open the
possibility of observing self-similar log-periodic structures at different time
scales. In the present work we analyze the daily closures of three of the most
important indices worldwide since 2000: the DAX for Germany and the Nasdaq100
and the S&P500 for the United States. The qualitative behaviour of these
different markets is similar during the temporal frame studied. Evidence is
found for decelerating log-periodic oscillations of duration about two years
and starting in September 2000. Moreover, a nested sub-structure starting in
May 2002 is revealed, bringing more evidence to support the hypothesis of
self-similar, log-periodic behavior. Ongoing log-periodic oscillations are also
revealed. A Lomb analysis over the aforementioned periods indicates a
preferential scaling factor . Higher order harmonics are also
present. The spectral pattern of the data has been found to be similar to that
of a Weierstrass-type function, used as a prototype of a log-periodic fractal
function.Comment: 17 pages, 14 figures. International Journal of Modern Physics C, in
pres
Analysis of exchange terms in a projected ERPA Theory applied to the quasi-elastic (e,e') reaction
A systematic study of the influence of exchange terms in the longitudinal and
transverse nuclear response to quasi-elastic (e,e') reactions is presented. The
study is performed within the framework of the extended random phase
approximation (ERPA), which in conjuction with a projection method permits a
separation of various contributions tied to different physical processes. The
calculations are performed in nuclear matter up to second order in the residual
interaction for which we take a (pi+rho)-model with the addition of the
Landau-Migdal g'-parameter. Exchange terms are found to be important only for
the RPA-type contributions around the quasielastic peak.Comment: 29 pages, 6 figs (3 in postscript, 3 faxed on request), epsf.st
Asymmetric correlation matrices: an analysis of financial data
We analyze the spectral properties of correlation matrices between distinct
statistical systems. Such matrices are intrinsically non symmetric, and lend
themselves to extend the spectral analyses usually performed on standard
Pearson correlation matrices to the realm of complex eigenvalues. We employ
some recent random matrix theory results on the average eigenvalue density of
this type of matrices to distinguish between noise and non trivial correlation
structures, and we focus on financial data as a case study. Namely, we employ
daily prices of stocks belonging to the American and British stock exchanges,
and look for the emergence of correlations between two such markets in the
eigenvalue spectrum of their non symmetric correlation matrix. We find several
non trivial results, also when considering time-lagged correlations over short
lags, and we corroborate our findings by additionally studying the asymmetric
correlation matrix of the principal components of our datasets.Comment: Revised version; 11 pages, 13 figure
On the role of the effective interaction in quasi-elastic electron scattering calculations
The role played by the effective residual interaction in the transverse
nuclear response for quasi-free electron scattering is discussed. The analysis
is done by comparing different calculations performed in the Random--Phase
Approximation and Ring Approximation frameworks. The importance of the exchange
terms in this energy region is investigated and the changes on the nuclear
responses due to the modification of the interaction are evaluated. The
calculated quasi-elastic responses show clear indication of their sensibility
to the details of the interaction and this imposes the necessity of a more
careful study of the role of the different channels of the interaction in this
excitation region.Comment: 16 pages, 4 Postscript figure
Whispering gallery modes in open quantum billiards
The poles of the S-matrix and the wave functions of open 2D quantum billiards
with convex boundary of different shape are calculated by the method of complex
scaling. Two leads are attached to the cavities. The conductance of the
cavities is calculated at energies with one, two and three open channels in
each lead. Bands of overlapping resonance states appear which are localized
along the convex boundary of the cavities and contribute coherently to the
conductance. These bands correspond to the whispering gallery modes appearing
in the classical calculations.Comment: 9 pages, 3 figures in jpg and gif forma
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