2,264 research outputs found
Quantum affine transformation group and covariant differential calculus
We discuss quantum deformation of the affine transformation group and its Lie
algebra. It is shown that the quantum algebra has a non-cocommutative Hopf
algebra structure, simple realizations and quantum tensor operators. The
deformation of the group is achieved by using the adjoint representation. The
elements of quantum matrix form a Hopf algebra. Furthermore, we construct a
differential calculus which is covariant with respect to the action of the
quantum matrix.Comment: LaTeX 22 pages OS-GE-34-94 RCNP-05
Laughlin states on the sphere as representations of Uq(sl(2))
We discuss quantum algebraic structures of the systems of electrons or
quasiparticles on a sphere of which center a magnetic monople is located on. We
verify that the deformation parameter is related to the filling ratio of the
particles in each case.Comment: 8 pages, Late
Semi-dynamic connectivity in the plane
Motivated by a path planning problem we consider the following procedure.
Assume that we have two points and in the plane and take
. At each step we add to a compact convex
set that does not contain nor . The procedure terminates when the sets
in separate and . We show how to add one set to
in amortized time plus the time needed to find
all sets of intersecting the newly added set, where is the
cardinality of , is the number of sets in
intersecting the newly added set, and is the inverse of the
Ackermann function
Dilatonic Inflation and SUSY Breaking in String-inspired Supergravity
The theory of inflation will be investigated as well as supersymmetry
breaking in the context of supergravity, incorporating the target-space duality
and the nonperturbative gaugino condensation in the hidden sector. We found an
inflationary trajectory of a dilaton field and a condensate field which breaks
supersymmetry at once. The model satisfies the slow-roll condition which solves
the eta-problem. When the particle rolls down along the minimized trajectory of
the potential V(S,Y) at a duality invariant point of T=1, we can obtain the
e-fold value \sim 57. And then the cosmological parameters obtained from our
model well match the recent WMAP data combined with other experiments. This
observation suggests one to consider the string-inspired supergravity as a
fundamental theory of the evolution of the universe as well as the particle
theory.Comment: 10 pages, 4 eps figures. Typos and references corrected. Final
version to appear in Mod. Phys. Lett.
Isospectral Hamiltonians and algebra
We discuss a spectrum generating algebra in the supersymmetric quantum
mechanical system which is defined as a series of solutions to a specific
differential equation. All Hamiltonians have equally spaced eigenvalues, and we
realize both positive and negative mode generators of a subalgebra of
without use of negative power of raising/lowering operators of
the system. All features in the supersymmetric case are generalized to the
parasupersymmetric systems of order 2.Comment: 15 pages, LaTeX, one postscript figure available by request version
appearing in Prog. Theore. Phy
Thermoelectric figure of merit of tau-type conductors of several donors
Dimensionless thermoelectric figure of merit is investigated for
two-dimensional organic conductors ,
-(EDT-S,S-DMEDT-TTF)_2(AuI_2)_{1+y}\tau (), respectively. The
values were estimated by measuring electrical resistivity, thermopower and
thermal conductivity simultaneously. The largest is 2.7 10
at 155 K for , 1.5 10
at 180 K for and 5.4
10 at 78 K for , respectively.
Substitution of the donor molecules fixing the counter anion revealed
EDT-S,S-DMEDT-TTF is the best of the three donors to obtain larger .Comment: proceedings of ISCOM 2009 (to be published in Physica B
Coupled Oscillators with Chemotaxis
A simple coupled oscillator system with chemotaxis is introduced to study
morphogenesis of cellular slime molds. The model successfuly explains the
migration of pseudoplasmodium which has been experimentally predicted to be
lead by cells with higher intrinsic frequencies. Results obtained predict that
its velocity attains its maximum value in the interface region between total
locking and partial locking and also suggest possible roles played by partial
synchrony during multicellular development.Comment: 4 pages, 5 figures, latex using jpsj.sty and epsf.sty, to appear in
J. Phys. Soc. Jpn. 67 (1998
FC method: A Practical Approach to Improve Quality and Efficiency of Software Processes for Embedded System Revision
COMPSAC 2004, Hong Kong, September 28 - September 30. 2004We introduce a design method for revising embedded software system. Engineers can accept requirements changes of hardware components and functions reasonably because design documents are managed in small unit. We can apply this method stepwise because this method can be coped with a development process that heavily depends on the hardware structure. We report an application of this method in our company so as to validate it. From the application, we can confirm that the quality of software was improved about in twice, and that efficiency of development process was also improved over three times.ArticleProceedings of the 28th Annual International Computer Software and Applications Conference. 286-292 (2004)conference pape
Laughlin states on the Poincare half-plane and its quantum group symmetry
We find the Laughlin states of the electrons on the Poincare half-plane in
different representations. In each case we show that there exist a quantum
group symmetry such that the Laughlin states are a representation of
it. We calculate the corresponding filling factor by using the plasma analogy
of the FQHE.Comment: 9 pages,Late
Basic Hypergeometric Functions and Covariant Spaces for Even Dimensional Representations of U_q[osp(1/2)]
Representations of the quantum superalgebra U_q[osp(1/2)] and their relations
to the basic hypergeometric functions are investigated. We first establish
Clebsch-Gordan decomposition for the superalgebra U_q[osp(1/2)] in which the
representations having no classical counterparts are incorporated. Formulae for
these Clebsch-Gordan coefficients are derived, and it is observed that they may
be expressed in terms of the -Hahn polynomials. We next investigate
representations of the quantum supergroup OSp_q(1/2) which are not well-defined
in the classical limit. Employing the universal T-matrix, the representation
matrices are obtained explicitly, and found to be related to the little
Q-Jacobi polynomials. Characteristically, the relation Q = -q is satisfied in
all cases. Using the Clebsch-Gordan coefficients derived here, we construct new
noncommutative spaces that are covariant under the coaction of the even
dimensional representations of the quantum supergroup OSp_q(1/2).Comment: 16 pages, no figure
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