6,758 research outputs found
Conformal anomaly in non-hermitian quantum mechanics
A model of an electron and a Dirac monopole interacting through an axially
symmetric non-hermitian but \mathcal{PT}-symmetric potential is discussed in
detail. The intriguing localization of the wave-packet as a result of the
anomalous breaking of the scale symmetry is shown to provide a scale for the
system. The symmetry algebra for the system, which is the conformal algebra
SO(2,1), is discussed and is shown to belong to the enveloping algebra of the
combined algebra, composed of the Virosoro algebra, \{L_n, n\in \mathbb{N}\}
and an abelian algebra, \{P_n,n\in \mathbb{N}\}.Comment: 4 pages, No figur
Generalized Solutions for Quantum Mechanical Oscillator on K\"{a}hler Conifold
We study the possible generalized boundary conditions and the corresponding
solutions for the quantum mechanical oscillator model on K\"{a}hler conifold.
We perform it by self-adjoint extension of the the initial domain of the
effective radial Hamiltonian. Remarkable effect of this generalized boundary
condition is that at certain boundary condition the orbital angular momentum
degeneracy is restored! We also recover the known spectrum in our formulation,
which of course correspond to some other boundary condition.Comment: 7 pages, latex, no figur
Analysis of direct CP violation in decays
We investigate the possibility of observing the direct CP violation in the
decay modes and within the Standard Model.
Including the contributions arising from the tree, annihilation, QCD as well as
electroweak penguins with both time- and space-like components, we find that
the direct CP asymmetry in is very small % but
in decay it can be as large as 4%. Approximately
charged mesons are required to experimentally observe the CP asymmetry
parameter for the later case. Since this is easily accessible with the
currently running B factories, the decay mode may be pursued
to look for CP violation.Comment: Latex, 14 page
Single-channel measurements of an N-acetylneuraminic acid-inducible outer membrane channel in Escherichia coli
NanC is an Escherichia coli outer membrane protein involved in sialic acid (Neu5Ac, i.e., N-acetylneuraminic acid) uptake. Expression of the NanC gene is induced and controlled by Neu5Ac. The transport mechanism of Neu5Ac is not known. The structure of NanC was recently solved (PDB code: 2WJQ) and includes a unique arrangement of positively charged (basic) side chains consistent with a role in acidic sugar transport. However, initial functional measurements of NanC failed to find its role in the transport of sialic acids, perhaps because of the ionic conditions used in the experiments. We show here that the ionic conditions generally preferred for measuring the function of outer-membrane porins are not appropriate for NanC. Single channels of NanC at pH 7.0 have: (1) conductance 100 pS to 800 pS in 100 mM: KCl to 3 M: KCl), (2) anion over cation selectivity (V (reversal) = +16 mV in 250 mM: KCl || 1 M: KCl), and (3) two forms of voltage-dependent gating (channel closures above ±200 mV). Single-channel conductance decreases by 50% when HEPES concentration is increased from 100 ?M: to 100 mM: in 250 mM: KCl at pH 7.4, consistent with the two HEPES binding sites observed in the crystal structure. Studying alternative buffers, we find that phosphate interferes with the channel conductance. Single-channel conductance decreases by 19% when phosphate concentration is increased from 0 mM: to 5 mM: in 250 mM: KCl at pH 8.0. Surprisingly, TRIS in the baths reacts with Ag|AgCl electrodes, producing artifacts even when the electrodes are on the far side of agar-KCl bridges. A suitable baseline solution for NanC is 250 mM: KCl adjusted to pH 7.0 without buffer
Quantum oscillator on complex projective space (Lobachewski space) in constant magnetic field and the issue of generic boundary conditions
We perform a 1-parameter family of self-adjoint extensions characterized by
the parameter . This allows us to get generic boundary conditions for
the quantum oscillator on dimensional complex projective
space() and on its non-compact version i.e., Lobachewski
space() in presence of constant magnetic field. As a result, we
get a family of energy spectrums for the oscillator. In our formulation the
already known result of this oscillator is also belong to the family. We have
also obtained energy spectrum which preserve all the symmetry (full hidden
symmetry and rotational symmetry) of the oscillator. The method of self-adjoint
extensions have been discussed for conic oscillator in presence of constant
magnetic field also.Comment: Accepted in Journal of Physics
Does changing the pulling direction give better insight into biomolecules?
Single molecule manipulation techniques reveal that the mechanical resistance
of a protein depends on the direction of the applied force. Using a lattice
model of polymers, we show that changing the pulling direction leads to
different phase diagrams. The simple model proposed here indicates that in one
case the system undergoes a transition akin to the unzipping of a
sheet, while in the other case the transition is of a shearing (slippage)
nature. Our results are qualitatively similar to experimental results. This
demonstrates the importance of varying the pulling direction since this may
yield enhanced insights into the molecular interactions responsible for the
stability of biomolecules.Comment: RevTeX v4, 10 pages with 6 eps figure
Universal Scaling Property of System Approaching Equilibrium
In this Letter we show that the diffusion kinetics of kinetic energy among
the atoms in non- equilibrium crystalline systems follows universal scaling
relation and obey Levy-walk properties. This scaling relation is found to be
valid for systems no matter how far they are driven out of equilibrium.Comment: 6 pages, 4 figure
Effect of La Doping on Microstructure and Critical Current Density of MgB2
In the present study, La-doped MgB_2 superconductors with different doping
level (Mg1-xLaxB2; x=0.00, 0.01, 0.03 & 0.05) have been synthesized by
solid-state reaction route at ambient pressure. Effect of La doping have been
investigated in relation to microstructural characteristics and superconducting
properties, particularly intragrain critical current density (Jc). The
microstructural characteristics of the as synthesized Mg(La)B2 compounds were
studied employing transmission electron microscopic (TEM) technique. The TEM
investigations reveal inclusion of LaB6 nanoparticles within the MgB2 grains
which provide effective flux pinning centres. The evaluation of intragrain Jc
through magnetic measurements on the fine powdered version of the as
synthesized samples reveal that Jc of the samples change significantly with the
doping level. The optimum result on Jc is obtained for Mg0.97La0.03B2 at 5K,
the Jc reaches ~1.4x107A/cm2 in self field, ~2.1 x 106A/cm2 at 1T, ~2.5 x
105A/cm2 at 2.5T and ~1.8 x 104 A/cm2 at 4.5T. The highest value of intragrain
Jc in Mg0.97La0.03B2 superconductor has been attributed to the inclusion of
LaB6 nanoparticles which are capable of providing effective flux pinning
centres
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