9,214 research outputs found
Free field approach to diagonalization of boundary transfer matrix : recent advances
We diagonalize infinitely many commuting operators . We call these
operators the boundary transfer matrix associated with the quantum
group and the elliptic quantum group. The boundary transfer matrix is related
to the solvable model with a boundary. When we diagonalize the boundary
transfer matrix, we can calculate the correlation functions for the solvable
model with a boundary. We review the free field approach to diagonalization of
the boundary transfer matrix associated with and
. We construct the free field realizations of the
eigenvectors of the boundary transfer matrix . This paper includes new
unpublished formula of the eigenvector for . It is thought that
this diagonalization method can be extended to more general quantum group
and elliptic quantum group .Comment: To appear in Group 28 : Group Theoretical Method in Physic
A new method of boundary parameter estimation for a two-dimensional diffusion system under noisy observations
The purpose of this paper is to establish a method for identifying unknown parameters involved in the boundary state of a class of diffusion systems under noisy observations. A mathematical model of the system dynamics is given by a two-dimensional diffusion equation. Noisy observations are made by sensors allocated on the system boundary. Starting with the mathematical model mentioned above, an online parameter estimation algorithm is proposed within the framework of the maximum likelihood estimation. Existence of the optimal solution and related necessary conditions are discussed. By solving a local variation of the cost functional with respect to the perturbation of parameters, the estimation mechanism is proposed in a form of recursive computations. Finally, the feasibility of the estimator proposed here is demonstrated through results of digital simulation experiments
Supergravity in Dimensions
Supergravity theory in dimensions is studied. It is invariant
under supertransformations in 2 and 3 dimensions. One-loop divergence is
explicitly computed in the background field method and a nontrivial fixed point
is found. In quantizing the supergravity, a gauge fixing condition is devised
which explicitly isolates conformal and superconformal modes. The
renormalization of the gravitationally dressed operators is studied and their
anomalous dimensions are computed. Problems to use the dimensional reduction
are also examined.Comment: 36 pages, TIT/HEP-238, Imperial/TP/93-94/
New Dissipation Relaxation Phenomenon in Oscillating Solid He-4
We describe the first observations on the time-dependent dissipation when the
drive level of a torsional oscillator containing solid He-4 is abruptly
changed. The relaxation of dissipation in solid He-4 shows rich dynamical
behavior including exponential and logarithmic time-dependent decays,
hysteresis, and memory effects.Comment: 4 pages, 4 figure
Oscillation Frequency Dependence of Non-Classical Rotation Inertia of Solid He
The non-classical rotational inertia fraction of the identical cylindrical
solid He below 300 mK is studied at 496 and 1173 Hz by a double resonance
torsional oscillator. Below 35 mK, the fraction is the same at sufficiently low
rim velocities. Above 35 mK, the fraction is greater for the higher than the
lower mode. The dissipation peak of the lower mode occurs at a temperature
4 mK lower than that of the higher mode. The drive dependence of the two
modes shows that the reduction of the fraction is characterized by critical
velocity, \textit{not} amplitude nor acceleration.Comment: 4 pages, 4 figure
Type II vertex operators for the face model
Presented is a free boson representation of the type II vertex operators for
the face model. Using the bosonization, we derive some
properties of the type II vertex operators, such as commutation, inversion and
duality relations.Comment: 20 pages, LaTEX 2
-analog of the XXZ chain with a boundary
We study analog of the XXZ spin chain with a boundary
magnetic field h. We construct explicit bosonic formulas of the vacuum vector
and the dual vacuum vector with a boundary magnetic field. We derive integral
formulas of the correlation functions.Comment: 24 pages, LaTEX2
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