732 research outputs found
Time-Dependent Variational Principle for Field Theory: RPA Approximation and Renormalization (II)
The Gaussian-time-dependent variational equations are used to explored the
physics of field theory. We have investigated the static
solutions and discussed the conditions of renormalization. Using these results
and stability analysis we show that there are two viable non-trivial versions
of . In the continuum limit the bare coupling constant can
assume and , which yield well defined asymmetric and
symmetric solutions respectively. We have also considered small oscillations in
the broken phase and shown that they give one and two meson modes of the
theory. The resulting equation has a closed solution leading to a ``zero mode''
and vanished scattering amplitude in the limit of infinite cutoff.Comment: 29 pages, LaTex file, to appear in Annals of Physic
Gaussian Time-Dependent Variational Principle for Bosons I - Uniform Case
We investigate the Dirac time-dependent variational method for a system of
non-ideal Bosons interacting through an arbitrary two body potential. The
method produces a set of non-linear time dependent equations for the
variational parameters. In particular we have considered small oscillations
about equilibrium. We obtain generalized RPA equations that can be understood
as interacting quasi-bosons, usually mentioned in the literature as having a
gap. The result of this interaction provides us with scattering properties of
these quasi-bosons including possible bound-states, which can include zero
modes. In fact the zero mode bound state can be interpreted as a new
quasi-boson with a gapless dispersion relation. Utilizing these results we
discuss a straightforward scheme for introducing temperature.Comment: 28 pages, 1 figure to appear in Annals of Physic
Statistical features of the thermal neutron capture cross sections
We discuss the existence of huge thermal neutron capture cross sections in
several nuclei. The values of the cross sections are several orders of
magnitude bigger than expected at these very low energies. We lend support to
the idea that this phenomenon is random in nature and is similar to what we
have learned from the study of parity violation in the actinide region. The
idea of statistical doorways is advanced as a unified concept in the
delineation of large numbers in the nuclear world. The average number of maxima
per unit mass, in the capture cross section is calculated and related
to the underlying cross section correlation function and found to be , where is a characteristic mass
correlation width which designates the degree of remnant coherence in the
system. We trace this coherence to nucleosynthesis which produced the nuclei
whose neutron capture cross sections are considered here.Comment: 7 pages, 6 figures. To appear in Acta Physica Polonica B as a
Contribution to the proceedings of:Jagiellonian Symposium of Fundamental and
Applied Subatomic Physics, June 7- 12, 2015 Krakow, Polan
Electrothermal feedback in superconducting nanowire single-photon detectors
We investigate the role of electrothermal feedback in the operation of
superconducting nanowire single-photon detectors (SNSPDs). It is found that the
desired mode of operation for SNSPDs is only achieved if this feedback is
unstable, which happens naturally through the slow electrical response
associated with their relatively large kinetic inductance. If this response is
sped up in an effort to increase the device count rate, the electrothermal
feedback becomes stable and results in an effect known as latching, where the
device is locked in a resistive state and can no longer detect photons. We
present a set of experiments which elucidate this effect, and a simple model
which quantitatively explains the results
An equations-of-motion approach to quantum mechanics: application to a model phase transition
We present a generalized equations-of-motion method that efficiently
calculates energy spectra and matrix elements for algebraic models. The method
is applied to a 5-dimensional quartic oscillator that exhibits a quantum phase
transition between vibrational and rotational phases. For certain parameters,
10 by 10 matrices give better results than obtained by diagonalising 1000 by
1000 matrices.Comment: 4 pages, 1 figur
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