1,207 research outputs found
Supersymmetric Quantum Hall Liquid with a Deformed Supersymmetry
We construct a supersymmetric quantum Hall liquid with a deformed
supersymmetry. One parameter is introduced in the supersymmetric Laughlin
wavefunction to realize the original Laughlin wavefunction and the Moore-Read
wavefunction in two extremal limits of the parameter. The introduced parameter
corresponds to the coherence factor in the BCS theory. It is pointed out that
the parameter-dependent supersymmetric Laughlin wavefunction enjoys a deformed
supersymmetry. Based on the deformed supersymmetry, we construct a
pseudo-potential Hamiltonian whose groundstate is exactly the
parameter-dependent supersymmetric Laughlin wavefunction. Though the SUSY
pseudo-potential Hamiltonian is parameter-dependent and non-Hermitian, its
eigenvalues are parameter-independent and real.Comment: 14 pages, contribution to the proceedings of the Group 27 conference,
Yerevan, Armenia, August 13-19, 2008, published versio
Time-Reversal Symmetry in Non-Hermitian Systems
For ordinary hermitian Hamiltonians, the states show the Kramers degeneracy
when the system has a half-odd-integer spin and the time reversal operator
obeys \Theta^2=-1, but no such a degeneracy exists when \Theta^2=+1. Here we
point out that for non-hermitian systems, there exists a degeneracy similar to
Kramers even when \Theta^2=+1. It is found that the new degeneracy follows from
the mathematical structure of split-quaternion, instead of quaternion from
which the Kramers degeneracy follows in the usual hermitian cases. Furthermore,
we also show that particle/hole symmetry gives rise to a pair of states with
opposite energies on the basis of the split quaternion in a class of
non-hermitian Hamiltonians. As concrete examples, we examine in detail NxN
Hamiltonians with N=2 and 4 which are non-hermitian generalizations of spin 1/2
Hamiltonian and quadrupole Hamiltonian of spin 3/2, respectively.Comment: 40 pages, 2 figures; typos fixed, references adde
Performance evaluation of novel square-bordered position-sensitive silicon detectors with four-corner readout
We report on a recently developed novel type of large area (62 mm x 62 mm)
position sensitive silicon detector with four-corner readout. It consists of a
square-shaped ion-implanted resistive anode framed by additional
low-resistivity strips with resistances smaller than the anode surface
resistance by a factor of 2. The detector position linearity, position
resolution, and energy resolution were measured with alpha-particles and heavy
ions. In-beam experimental results reveal a position resolution below 1 mm
(FWHM) and a very good non-linearity of less than 1% (rms). The energy
resolution determined from 228Th alpha source measurements is around 2% (FWHM).Comment: 13 pages, 10 figures, submitted to Nucl. Instr. and Meth.
Exact shock solution of a coupled system of delay differential equations: a car-following model
In this paper, we present exact shock solutions of a coupled system of delay
differential equations, which was introduced as a traffic-flow model called
{\it the car-following model}. We use the Hirota method, originally developed
in order to solve soliton equations. %While, with a periodic boundary
condition, this system has % a traveling-wave solution given by elliptic
functions. The relevant delay differential equations have been known to allow
exact solutions expressed by elliptic functions with a periodic boundary
conditions. In the present work, however, shock solutions are obtained with
open boundary, representing the stationary propagation of a traffic jam.Comment: 6 pages, 2 figure
Harmonic Superspace Gaugeon Formalism for the ABJM Theory
In this paper we will analyse the ABJM theory in harmonic superspace. The
harmonic superspace variables will be parameterized by the coset
and thus will have manifest supersymmetry. We will study the
quantum gauge transformations and the BRST transformations of this theory in
gaugeon formalism. We will use this BRST symmetry to project out the physical
sub-space from the total Hilbert space. We will also show that the evolution of
the -matrix is unitary for this ABJM theory in harmonic
superspace.Comment: 11, pages, 0 figures, accepted for publication in Mod. Phys. Lett.
Toda Lattice Solutions of Differential-Difference Equations for Dissipative Systems
In a certain class of differential-difference equations for dissipative
systems, we show that hyperbolic tangent model is the only the nonlinear system
of equations which can admit some particular solutions of the Toda lattice. We
give one parameter family of exact solutions, which include as special cases
the Toda lattice solutions as well as the Whitham's solutions in the Newell's
model. Our solutions can be used to describe temporal-spatial density patterns
observed in the optimal velocity model for traffic flow.Comment: Latex, 13 pages, 1 figur
Radial Bargmann representation for the Fock space of type B
Let be the probability and orthogonality measure for the
-Meixner-Pollaczek orthogonal polynomials, which has appeared in
\cite{BEH15} as the distribution of the -Gaussian process (the
Gaussian process of type B) over the -Fock space (the Fock space of
type B). The main purpose of this paper is to find the radial Bargmann
representation of . Our main results cover not only the
representation of -Gaussian distribution by \cite{LM95}, but also of
-Gaussian and symmetric free Meixner distributions on . In
addition, non-trivial commutation relations satisfied by -operators
are presented.Comment: 13 pages, minor changes have been mad
Quasi-Solitons in Dissipative Systems and Exactly Solvable Lattice Models
A system of first-order differential-difference equations with time lag
describes the formation of density waves, called as quasi-solitons for
dissipative systems in this paper. For co-moving density waves, the system
reduces to some exactly solvable lattice models. We construct a shock-wave
solution as well as one-quasi-soliton solution, and argue that there are
pseudo-conserved quantities which characterize the formation of the co-moving
waves. The simplest non-trivial one is given to discuss the presence of a
cascade phenomena in relaxation process toward the pattern formation.Comment: REVTeX, 4 pages, 1 figur
Complete Nucleotide Sequence of the Chloroplast Genome from a Leptosporangiate Fer, Adiantum capillus-veneris L.
We determined the complete nucleotide sequence of the chloroplast genome of the leptosporangiate fern, Adiantum capillus-veneris L. (Pteridaceae). The circular genome is 150,568 bp, with a large single-copy region (LSC) of 82,282 bp, a small-single copy region (SSC) of 21,392 bp and inverted repeats (IR) of 23,447 bp each. We compared the sequence to other published chloroplast genomes to infer the location of putative genes. When the IR is considered only once, we assigned 118 genes, of which 85 encode proteins, 29 encode tRNAs and 4 encode rRNAs. Four protein-coding genes, all four rRNA genes and six tRNA genes occur in the IR. Most (57) putative protein-coding genes appear to start with an ATG codon, but we also detected five other possible start codons, some of which suggest tRNA editing. We also found 26 apparent stop codons in 18 putative genes, also suggestive of RNA editing. We found all but one of the tRNA genes necessary to encode the complete repertoire required for translation. The missing trnK gene appears to have been disrupted by a large inversion, relative to other published chloroplast genomes. We detected several structural rearrangements that may provide useful information for phylogenetic studies
Experimental Apparatus for Critical Current Measurement above 5 K Using Bi-based oxide current leads
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