1,158 research outputs found
Binary Darboux-Backlund Transformations for the Manin-Radul Super KdV Hierarchy
We construct the supersymmetric extensions of the Darboux-Backlund
transformations (DBTs) for the Manin-Radul super KdV hierarchy using the
super-pseudo-differential operators. The elementary DBTs are triggered by the
gauge operators constructed from the wave functions and adjoint wave functions
of the hierarchy. Iterating these elementary DBTs, we obtain not only Wronskian
type but also binary type superdeterminant representations of the solutions.Comment: 14 pages, Revtex, no figures, some typos corrected, two references
adde
On the Miura and Backlund transformations associated with the supersymmetric Gelfand-Dickey bracket
The supersymmetric version of the Miura and B\"acklund transformations
associated with the supersymmetric Gelfand-Dickey bracket are investigated from
the point of view of the Kupershmidt-Wilson theorem.Comment: 8 pages, Revtex, version to appear on Mod. Phys. Lett.
Matrix Formulation of Hamiltonian Structures of Constrained KP Hierarchy
We give a matrix formulation of the Hamiltonian structures of constrained KP
hierarchy. First, we derive from the matrix formulation the Hamiltonian
structure of the one-constraint KP hierarchy, which was originally obtained by
Oevel and Strampp. We then generalize the derivation to the multi-constraint
case and show that the resulting bracket is actually the second Gelfand-Dickey
bracket associated with the corresponding Lax operator. The matrix formulation
of the Hamiltonian structure of the one-constraint KP hierarchy in the form
introduced in the study of matrix model is also discussedComment: 19 pages, Revtex, no figures. Minor changes, reference correcte
Rashba Spin Interferometer
A spin interferometer utilizing the Rashba effect is proposed. The novel
design is composed of a one-dimensional (1D) straight wire and a 1D half-ring.
By calculating the norm of the superposed wave function, we derive analytical
expressions to describe the spin interference spectrum as a function of the
Rashba coupling strength. Presented spin interference results are identified to
include (i) the quantum-mechanical 4pi rotation effect, (ii) geometric effect,
and (iii) Shubnikov-de Haas-like beating effect.Comment: 3 pages, 3 figures, appears in the proceedings of the 10th Joint
MMM/Intermag Conferenc
Quantum World-line Monte Carlo Method with Non-binary Loops and Its Application
A quantum world-line Monte Carlo method for high-symmetrical quantum models
is proposed. Firstly, based on a representation of a partition function using
the Matsubara formula, the principle of quantum world-line Monte Carlo methods
is briefly outlined and a new algorithm using non-binary loops is given for
quantum models with high symmetry as SU(N). The algorithm is called non-binary
loop algorithm because of non-binary loop updatings. Secondary, one example of
our numerical studies using the non-binary loop updating is shown. It is the
problem of the ground state of two-dimensional SU(N) anti-ferromagnets. Our
numerical study confirms that the ground state in the small N <= 4 case is a
magnetic ordered Neel state, but the one in the large N >= 5 case has no
magnetic order, and it becomes a dimer state.Comment: 14 pages, 5 figures, Invited talk at the 18th Annual Workshop on
Recent Developments of Computer Simulation Studies in Condensed Matter
Physics, Athens, 7-11 March, 200
- …