76,224 research outputs found
Gain and noise spectral density in an electronic parametric amplifier with added white noise
In this paper, we discuss the behavior of a linear classical parametric
amplifier (PA) in the presence of white noise and give theoretical estimates of
the noise spectral density based on approximate Green's functions obtained by
using averaging techniques. Furthermore, we give analytical estimates for
parametric amplification bandwidth of the amplifier and for the noisy
precursors to instability. To validate our theory we compare the analytical
results with experimental data obtained in an analog circuit. We describe the
implementation details and the setup used in the experimental study of the
amplifier. Near the threshold to the first parametric instability, and in
degenerate-mode amplification, the PA achieved very high gains in a very narrow
bandwidth centered on its resonance frequency. In quasi-degenerate mode
amplification, we obtained lower values of gain, but with a wider bandwidth
that is tunable. The experimental data were accurately described by the
predictions of the model. Moreover, we noticed spectral components in the
output signal of the amplifier which are due to noise precursors of
instability. The position, width, and magnitude of these components are in
agreement with the noise spectral density obtained by the theory proposed here
Quantum propagator for some classes of three-dimensional three-body systems
In this work we solve exactly a class of three-body propagators for the most
general quadratic interactions in the coordinates, for arbitrary masses and
couplings. This is done both for the constant as the time-dependent couplings
and masses, by using the Feynman path integral formalism. Finally the energy
spectrum and the eigenfunctions are recovered from the propagators.Comment: 16 pages, no figure
Coupled scalar fields Oscillons and Breathers in some Lorentz Violating Scenarios
In this work we discuss the impact of the breaking of the Lorentz symmetry on
the usual oscillons, the so-called flat-top oscillons, and the breathers. Our
analysis is performed by using a Lorentz violation scenario rigorously derived
in the literature. We show that the Lorentz violation is responsible for the
origin of a kind of deformation of the configuration, where the field
configuration becomes oscillatory in a localized region near its maximum value.
Furthermore, we show that the Lorentz breaking symmetry produces a displacement
of the oscillon along the spatial direction, the same feature is present in the
case of breathers. We also show that the effect of a Lorentz violation in the
flat-top oscillon solution is responsible by the shrinking of the flat-top.
Furthermore, we find analytically the outgoing radiation, this result indicates
that the amplitude of the outgoing radiation is controlled by the Lorentz
breaking parameter, in such away that this oscillon becomes more unstable than
its symmetric counterpart, however, it still has a long living nature
On the study of oscillons in scalar field theories: A new approach
In this work we study configurations in one-dimensional scalar field theory,
which are time-dependent, localized in space and extremely long-lived called
oscillons. It is investigated how the action of changing the minimum value of
the field configuration representing the oscillon affects its behavior. We find
that one of the consequences of this procedure, is the appearance of a pair of
oscillon-like structures presenting different amplitudes and frequencies of
oscillation. We also compare our analytical results to numerical ones, showing
excellent agreement
Search for -cluster states in even-even Cr isotopes
The structure is investigated in even-even Cr
isotopes from the viewpoint of the local potential model. The comparison of
values for even-even Cr isotopes and even-even
isobars indicates that Cr and Cr are the most favorable even-even
Cr isotopes for -clustering. The ground state bands of the two Cr
isotopes are calculated through a local potential with
two variable parameters. The calculated spectra give a very good description of
most experimental Cr and Cr levels. The reduced -widths,
rms intercluster separations and transition rates are determined for
the ground state bands. The calculations reproduce the order of magnitude of
the available experimental values without using effective charges and
indicate that the first members of the ground state bands present a stronger
-cluster character. The volume integral per nucleon pair and rms radius
obtained for the Ti potential are consistent with those reported
previously in the analysis of elastic scattering on Ti
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