41,329 research outputs found
SU(3) dibaryons in the Einstein-Skyrme model
SU(3) collective coordinate quantization to the regular solution of the B=2
axially symmetric Einstein-Skyrme system is performed. For the symmetry
breaking term, a perturbative treatment as well as the exact diagonalization
method called Yabu-Ando approach are used. The effect of the gravity on the
mass spectra of the SU(3) dibaryons and the symmetry breaking term is studied
in detail. In the strong gravity limit, the symmetry breaking term
significantly reduces and exact SU(3) flavor symmetry is recovered.Comment: 9 pages, 14 figure
On correlation functions of integrable models associated to the six-vertex R-matrix
We derive an analog of the master equation obtained recently for correlation
functions of the XXZ chain for a wide class of quantum integrable systems
described by the R-matrix of the six-vertex model, including in particular
continuum models. This generalized master equation allows us to obtain multiple
integral representations for the correlation functions of these models. We
apply this method to derive the density-density correlation functions of the
quantum non-linear Schrodinger model.Comment: 21 page
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
The Functional Integral for a Free Particle on a Half-Plane
A free non-relativistic particle moving in two dimensions on a half-plane can
be described by self-adjoint Hamiltonians characterized by boundary conditions
imposed on the systems. The most general boundary condition is parameterized in
terms of the elements of an infinite-dimensional matrix. We construct the
Brownian functional integral for each of these self-adjoint Hamiltonians.
Non-local boundary conditions are implemented by allowing the paths striking
the boundary to jump to other locations on the boundary. Analytic continuation
in time results in the Green's functions of the Schrodinger equation satisfying
the boundary condition characterizing the self-adjoint Hamiltonian.Comment: 16 page
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
A useful modification of the Wright spirometer
Spirometer modification to permit computer reduction of respiratory flow dat
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