11,337 research outputs found
Solution of systems of nonlinear equations Final report
Algorithm and computer program of diagonal discrimination method for computing nonlinear and transcendental function
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Affirmative Action and Diversity in Public Education — Legal Developments
The first part of this report briefly reviews the judicial evolution of race-based affirmative action, particularly in relation to public education. Recent rulings challenging the use of racial admissions and hiring practices by public educational institutions are then considered for their implications on the future development of affirmative action law
Production of photons by the parametric resonance in the dynamical Casimir effect
We calculate the number of photons produced by the parametric resonance in a
cavity with vibrating walls. We consider the case that the frequency of
vibrating wall is which is a generalization of other
works considering only , where is the fundamental-mode
frequency of the electromagnetic field in the cavity. For the calculation of
time-evolution of quantum fields, we introduce a new method which is borrowed
from the time-dependent perturbation theory of the usual quantum mechanics.
This perturbation method makes it possible to calculate the photon number for
any and to observe clearly the effect of the parametric resonance.Comment: 15 pages, RevTeX, no figure
Quantum lattice solitons in ultracold bosons near Feshbach resonance
Quantum lattice solitons in a system of two ultracold bosons near Feshbach
resonance are investigated. It is shown that their binding energy, effective
mass, and spatial width, can be manipulated varying the detuning from the
Feshbach resonance. In the case of attractive atomic interactions, the molecule
creation stabilizes the solitons. In the case of repulsive interactions, the
molecule creation leads to the possibility of existence of bright solitons in
some interval of detunings. Due to quantum fluctuations the soliton width is a
random quantity. Its standard deviation is larger than the mean value for such
a small number of particles
The Schrodinger particle in an oscillating spherical cavity
We study a Schrodinger particle in an infinite spherical well with an
oscillating wall. Parametric resonances emerge when the oscillation frequency
is equal to the energy difference between two eigenstates of the static cavity.
Whereas an analytic calculation based on a two-level system approximation
reproduces the numerical results at low driving amplitudes, epsilon, we observe
a drastic change of behaviour when epsilon > 0.1, when new resonance states
appear bearing no apparent relation to the eigenstates of the static system.Comment: 9 pages, 6 figures, corrected typo
Numerical approach to the dynamical Casimir effect
The dynamical Casimir effect for a massless scalar field in 1+1-dimensions is
studied numerically by solving a system of coupled first-order differential
equations. The number of scalar particles created from vacuum is given by the
solutions to this system which can be found by means of standard numerics. The
formalism already used in a former work is derived in detail and is applied to
resonant as well as off-resonant cavity oscillations.Comment: 15 pages, 4 figures, accepted for publication in J. Phys. A (special
issue: Proceedings of QFEXT05, Barcelona, Sept. 5-9, 2005
Dark Matter Constraints from the Sagittarius Dwarf and Tail System
2MASS has provided a three-dimensional map of the >360 degree, wrapped tidal
tails of the Sagittarius (Sgr) dwarf spheroidal galaxy, as traced by M giant
stars. With the inclusion of radial velocity data for stars along these tails,
strong constraints exist for dynamical models of the Milky Way-Sgr interaction.
N-body simulations of Sgr disruption with model parameters spanning a range of
initial conditions (e.g., Sgr mass and orbit, Galactic rotation curve, halo
flattening) are used to find parameterizations that match almost every extant
observational constraint of the Sgr system. We discuss the implications of the
Sgr data and models for the orbit, mass and M/L of the Sgr bound core as well
as the strength, flattening, and lumpiness of the Milky Way potential.Comment: 6 pages, 0 figures. Contribution to proceedings of ``IAU Symposium
220: Dark Matter in Galaxies'', eds. S. Ryder, D.J. Pisano, M. Walker, and K.
Freema
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