25,246 research outputs found
Angularly localized Skyrmions
Quantized Skyrmions with baryon numbers and 4 are considered and
angularly localized wavefunctions for them are found. By combining a few low
angular momentum states, one can construct a quantum state whose spatial
density is close to that of the classical Skyrmion, and has the same
symmetries. For the B=1 case we find the best localized wavefunction among
linear combinations of and angular momentum states. For B=2, we
find that the ground state has toroidal symmetry and a somewhat reduced
localization compared to the classical solution. For B=4, where the classical
Skyrmion has cubic symmetry, we construct cubically symmetric quantum states by
combining the ground state with the lowest rotationally excited
state. We use the rational map approximation to compare the classical and
quantum baryon densities in the B=2 and B=4 cases.Comment: 22 page
Universality and Phase Diagram around Half-filled Landau Level
Gated GaAs/AlGaAs heterostructures were used to determine the low-temperature
behavior of the two-dimensional electron gas near filling factor nu=1/2 in the
disorder-magnetic-field plane. We identify a line on which sigma_{xy} is
temperature independent, has value sigma_{xy}=0.5 (e^{2}/h), and a distinct
line on which rho_{xy}=2 (h/e^{2}). The phase boundaries between the Hall
insulator and the principal quantum Hall liquids at nu=1 and 1/3 show
levitation of the delocalized states of the first Landau levels for electrons
and composite fermions. Finally, the data suggest that there is no true
metallic phase around nu=1/2.Comment: 7 pages (Revtex), 5 figure
Multidimensional Worldline Instantons
We extend the worldline instanton technique to compute the vacuum pair
production rate for spatially inhomogeneous electric background fields, with
the spatial inhomogeneity being genuinely two or three dimensional, both for
the magnitude and direction of the electric field. Other techniques, such as
WKB, have not been applied to such higher dimensional problems. Our method
exploits the instanton dominance of the worldline path integral expression for
the effective action.Comment: 22 pages, 13 figure
Recommended from our members
End-user interactions with intelligent and autonomous systems.
Systems that learn from or personalize themselves to users are quickly becoming mainstream yet interaction with these systems is limited and often uninformative for the end user. This workshop focuses on approaches and challenges to explore making these systems transparent, controllable and ultimately trustworthy to end users. The aims of the workshop are to help establish connections among researchers and industrial practitioners using real-world problems as catalysts to facilitate the exchange of approaches, solutions, and ideas about how to better support end users
Relativistic Modification of the Gamow Factor
In processes involving Coulomb-type initial- and final-state interactions,
the Gamow factor has been traditionally used to take into account these
additional interactions. The Gamow factor needs to be modified when the
magnitude of the effective coupling constant increases or when the velocity
increases. For the production of a pair of particles under their mutual
Coulomb-type interaction, we obtain the modification of the Gamow factor in
terms of the overlap of the Feynman amplitude with the relativistic wave
function of the two particles. As a first example, we study the modification of
the Gamow factor for the production of two bosons. The modification is
substantial when the coupling constant is large.Comment: 13 pages, in LaTe
Worldline Instantons II: The Fluctuation Prefactor
In a previous paper [1], it was shown that the worldline expression for the
nonperturbative imaginary part of the QED effective action can be approximated
by the contribution of a special closed classical path in Euclidean spacetime,
known as a worldline instanton. Here we extend this formalism to compute also
the prefactor arising from quantum fluctuations about this classical closed
path. We present a direct numerical approach for determining this prefactor,
and we find a simple explicit formula for the prefactor in the cases where the
inhomogeneous electric field is a function of just one spacetime coordinate. We
find excellent agreement between our semiclassical approximation, conventional
WKB, and recent numerical results using numerical worldline loops.Comment: 28 pages, 1 figure; v2 references added, version in PR
Ageing and utilisation of hospital services in Hong Kong: a retrospective cohort study.
Key Messages 1. In the 3 years before death, older age-groups do not use inpatient hospital services more than younger age-groups. However, they do use more accident and emergency department services. 2. No compression in morbidity was demonstrated. 3. Data obtained from this retrospective study may be used to project future usage for each type of service as a result of the changing age structure of the population, so as to facilitate health care planning. 4. Health care costs as a result of the changing age structure of populations may also be estimated more accurately, instead of assuming a linear increase in all types of services with age.published_or_final_versio
Grain Physics and Rosseland Mean Opacities
Tables of mean opacities are often used to compute the transfer of radiation
in a variety of astrophysical simulations from stellar evolution models to
proto-planetary disks. Often tables, such as Ferguson et al. (2005), are
computed with a predetermined set of physical assumptions that may or may not
be valid for a specific application. This paper explores the effects of several
assumptions of grain physics on the Rosseland mean opacity in an oxygen rich
environment. We find that changing the distribution of grain sizes, either the
power-law exponent or the shape of the distribution, has a marginal effect on
the total mean opacity. We also explore the difference in the mean opacity
between solid homogenous grains and grains that are porous or conglomorations
of several species. Changing the amount of grain opacity included in the mean
by assuming a grain-to-gas ratio significantly affects the mean opacity, but in
a predictable way.Comment: 19 pages, 6 figures, accepted for publication in Ap
Small size boundary effects on two-pion interferometry
The Bose-Einstein correlations of two identically charged pions are derived
when these particles, the most abundantly produced in relativistic heavy ion
collisions, are confined in finite volumes. Boundary effects on single pion
spectrum are also studied. Numerical results emphasize that conventional
formulation usually adopted to describe two-pion interferometry should not be
used when the source size is small, since this is the most sensitive case to
boundary effects. Specific examples are considered for better illustration.Comment: more discussion on Figure4 and diffuse boundar
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