4,433 research outputs found
Searching for Effects of Spatial Noncommutativity via Chern-Simons' Processes
The possibility of testing spatial noncommutativity in the case of both
position-position and momentum-momentum noncommuting via a Chern-Simons'
process is explored. A Chern-Simons process can be realized by an interaction
of a charged particle in special crossed electric and magnetic fields, in which
the Chern-Simons term leads to non-trivial dynamics in the limit of vanishing
kinetic energy. Spatial noncommutativity leads to the spectrum of the orbital
angular momentum possessing fractional values. Furthermore, in both limits of
vanishing kinetic energy and subsequent vanishing magnetic field, the
Chern-Simons term leads to this system having non-trivial dynamics again, and
the dominant value of the lowest orbital angular momentum being ,
which is a clear signal of spatial noncommutativity. An experimental
verification of this prediction by a Stern-Gerlach-type experiment is
suggested.Comment: 18 page
NADH oxidation at fluorosurfactant-covered metal electrodes
Abstract no. 2209published_or_final_versio
ΠΠ± ΠΎΠ΄Π½ΠΎΠΉ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΌΠΈΡΠΎΠ²ΠΎΠΉ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΈ ΠΈ ΡΡΡΠΎΠΉΡΠΈΠ²ΠΎΡΡΠΈ ΡΠ°Π·Π²ΠΈΡΠΈΡ
ΠΠΈΠΊΠ»Π°Π΄Π΅Π½ΠΎ ΠΎΠ΄Π½Ρ ΠΌΠΎΠ΄ΠΈΡiΠΊΠ°ΡiΡ ΠΌΠΎΠ΄Π΅Π»i Π€ΠΎΡΡΠ΅ΡΡΠ΅ΡΠ° ΡΠ²iΡΠΎΠ²ΠΎΡ Π΄ΠΈΠ½Π°ΠΌiΠΊΠΈ. Π£ Π·Π°ΠΏΡΠΎΠΏΠΎΠ½ΠΎΠ²Π°Π½iΠΉ ΠΌΠΎΠ΄Π΅Π»i Π²Π²Π΅Π΄Π΅Π½ΠΎ ΡΠ°ΠΊΡΠΎΡ Π½Π΅Π²Π΄ΠΎΠ²ΠΎΠ»Π΅Π½Π½Ρ Π½Π° ΠΊΠΎΠΆΠ½ΠΎΠΌΡ ΡΠΈΡΡΠ΅ΠΌΠ½ΠΎΠΌΡ ΡiΠ²Π½i ΠΌΠΎΠ΄Π΅Π»i. ΠΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΎ ΡΠΌΠΎΠ²ΠΈ ΡΡiΠΉΠΊΠΎΠ³ΠΎ ΡΠΎΠ·Π²ΠΈΡΠΊΡ Π²iΠ΄Π½ΠΎΡΠ½ΠΎ Π΄Π²ΠΎΡ
ΠΌiΡ Ρ ΠΌΠ΅ΠΆΠ°Ρ
Π΄Π°Π½ΠΎΡ ΠΌΠΎΠ΄Π΅Π»i.The paper is devoted to the discussion of a modification of Forresterβs model of the world dynamics. In the model, the βfactor of discontentβ is taken into account via the dynamics of public opinion on the development of separate system levels. We also established the conditions of sustainable development with respect to two measures
Testing Spatial Noncommutativity via Rydberg Atoms
The possibility of testing spatial noncommutativity via Rydberg atoms is
explored. An atomic dipole of a cold Rydberg atom is arranged in appropriate
electric and magnetic field, so that the motion of the dipole is constrained to
be planar and rotationally symmetric. Spatial noncommutativity leads to that
the canonical angular momentum possesses fractional values. In the limit of
vanishing kinetic energy, the dominate value of the lowest canonical angular
momentum takes . Furthermore, in the limit of eliminating magnetic
field, the dominate value of the lowest canonical angular momentum changes from
to . This result is a clear signal of spatial
noncommutativity. An experimental verification of this prediction is suggested.Comment: 10 pages. Physical Review Letters (in press
Trapped interacting two-component bosons
In this paper we solve one dimensional trapped SU(2) bosons with repulsive
-function interaction by means of Bethe-ansatz method. The features of
ground state and low-lying excited states are studied by numerical and analytic
methods. We show that the ground state is an isospin "ferromagnetic" state
which differs from spin-1/2 fermions system. There exist three quasi-particles
in the excitation spectra, and both holon-antiholon and holon-isospinon
excitations are gapless for large systems. The thermodynamics equilibrium of
the system at finite temperature is studied by thermodynamic Bethe ansatz. The
thermodynamic quantities, such as specific heat etc. are obtained for the case
of strong coupling limit.Comment: 15 pages, 9 figure
Measure representation and multifractal analysis of complete genomes
This paper introduces the notion of measure representation of DNA sequences.
Spectral analysis and multifractal analysis are then performed on the measure
representations of a large number of complete genomes. The main aim of this
paper is to discuss the multifractal property of the measure representation and
the classification of bacteria. From the measure representations and the values
of the spectra and related curves, it is concluded that these
complete genomes are not random sequences. In fact, spectral analyses performed
indicate that these measure representations considered as time series, exhibit
strong long-range correlation. For substrings with length K=8, the
spectra of all organisms studied are multifractal-like and sufficiently smooth
for the curves to be meaningful. The curves of all bacteria
resemble a classical phase transition at a critical point. But the 'analogous'
phase transitions of chromosomes of non-bacteria organisms are different. Apart
from Chromosome 1 of {\it C. elegans}, they exhibit the shape of double-peaked
specific heat function.Comment: 12 pages with 9 figures and 1 tabl
Testing Spatial Noncommutativity via Magnetic Hyperfine Structure Induced by Fractional Angular Momentum of Rydberg System
An approach to solve the critical problem of testing quantum effects of
spatial noncommutativity is proposed. Magnetic hyperfine structures in a
Rydberg system induced by fractional angular momentum originated from spatial
noncommutativity are discussed. The orders of the corresponding magnetic
hyperfine splitting of spectrum lie within the
limits of accuracy of current experimental measurements. Experimental tests of
physics beyond the standard model are the focus of broad interest. We note that
the present approach is reasonable achievable with current technology. The
proof is based on very general arguments involving only the deformed
Heisenberg-Weyl algebra and the fundamental property of angular momentum. Its
experimental verification would constitute an advance in understanding of
fundamental significance, and would be a key step towards a decisive test of
spatial noncommutativity.Comment: 11 pages, no figure
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