1,531 research outputs found
Soliton localization in Bose-Einstein condensates with time-dependent harmonic potential and scattering length
We derive exact solitonic solutions of a class of Gross-Pitaevskii equations
with time-dependent harmonic trapping potential and interatomic interaction. We
find families of exact single-solitonic, multi-solitonic, and solitary wave
solutions. We show that, with the special case of an oscillating trapping
potential and interatomic interaction, a soliton can be localized indefinitely
at an arbitrary position. The localization is shown to be experimentally
possible for sufficiently long time even with only an oscillating trapping
potential and a constant interatomic interaction.Comment: 19 pages, 11 figures, accepted for publication in J.Phys.
Representations of the discrete inhomogeneous Lorentz group and Dirac wave equation on the lattice
We propose the fundamental and two dimensional representation of the Lorentz
groups on a (3+1)-dimensional hypercubic lattice, from which representations of
higher dimensions can be constructed. For the unitary representation of the
discrete translation group we use the kernel of the Fourier transform. From the
Dirac representation of the Lorentz group (including reflections) we derive in
a natural way the wave equation on the lattice for spin 1/2 particles. Finally
the induced representation of the discrete inhomogeneous Lorentz group is
constructed by standard methods and its connection with the continuous case is
discussed.Comment: LaTeX, 20 pages, 1 eps figure, uses iopconf.sty (late submission
Language of Lullabies: The Russification and De-Russification of the Baltic States
This article argues that the laws for promotion of the national languages are a legitimate means for the Baltic states to establish their cultural independence from Russia and the former Soviet Union
Access Denied: How Social Media Accounts Fall Outside the Scope of Intellectual Property Law and into the Realm of the Computer Fraud and Abuse Act
Ultra-High Energy Neutrino Fluxes: New Constraints and Implications
We apply new upper limits on neutrino fluxes and the diffuse extragalactic
component of the GeV gamma-ray flux to various scenarios for ultra high energy
cosmic rays and neutrinos. As a result we find that extra-galactic top-down
sources can not contribute significantly to the observed flux of highest energy
cosmic rays. The Z-burst mechanism where ultra-high energy neutrinos produce
cosmic rays via interactions with relic neutrinos is practically ruled out if
cosmological limits on neutrino mass and clustering apply.Comment: 10 revtex pages, 9 postscript figure
Enhanced electrical resistivity before N\'eel order in the metals, RCuAs (R= Sm, Gd, Tb and Dy
We report an unusual temperature (T) dependent electrical resistivity()
behavior in a class of ternary intermetallic compounds of the type RCuAs
(R= Rare-earths). For some rare-earths (Sm, Gd, Tb and Dy) with negligible
4f-hybridization, there is a pronounced minimum in (T) far above
respective N\'eel temperatures (T). However, for the rare-earths which are
more prone to exhibit such a (T) minimum due to 4f-covalent mixing and
the Kondo effect, this minimum is depressed. These findings, difficult to
explain within the hither-to-known concepts, present an interesting scenario in
magnetism.Comment: Physical Review Letters (accepted for publication
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