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19912026
Showing 2003 · math-phShow all

9 papers · 2 filters

math-ph2003★ 10 cited

Constrained Reductions of 2D dispersionless Toda Hierarchy, Hamiltonian Structure and Interface Dynamics

J. Harnad, I. Loutsenko, O. Yermolayeva

Finite-dimensional reductions of the 2D dispersionless Toda hierarchy, constrained by the ``string equation'' are studied. These include solutions determined by polynomial, rationa…

math-ph2003★ 14 cited

Stochastic evolutions in superspace and superconformal field theory

Jorgen Rasmussen

Some stochastic evolutions of conformal maps can be described by SLE and may be linked to conformal field theory via stochastic differential equations and singular vectors in highe…

math-ph2003★ 67 cited

Integrable and superintegrable quantum systems in a magnetic field

Josee Berube, Pavel Winternitz

Integrable quantum mechanical systems with magnetic fields are constructed in two-dimensional Euclidean space. The integral of motion is assumed to be a first or second order Hermi…

math-ph2003★ 34 cited

Automorphisms of the fine grading of sl(n,C) associated with the generalized Pauli matrices

M. Havlíček, J. Patera, E. Pelantová +1

We consider the grading of by the group of generalized Pauli matrices. The grading decomposes the Lie algebra into one--dimensional subspaces. In t…

math-ph2003★ 25 cited

Properties of continuous Fourier extension of the discrete cosine transform and its multidimensional generalization

A. Atoyan, J. Patera

A versatile method is described for the practical computation of the discrete Fourier transforms (DFT) of a continuous function given by its values at the points of…

math-ph2003★ 121 cited

Superintegrable Systems in Darboux spaces

E. G. Kalnins, J. M. Kress, W. Miller +1

Almost all research on superintegrable potentials concerns spaces of constant curvature. In this paper we find by exhaustive calculation, all superintegrable potentials in the four…

math-ph2003★ 6 cited

SLE-type growth processes and the Yang-Lee singularity

Frederic Lesage, Jorgen Rasmussen

The recently introduced SLE growth processes are based on conformal maps from an open and simply-connected subset of the upper half-plane to the half-plane itself. We generalize th…

math-ph2003★ 9 cited

On Conditionally Invariant Solutions of Magnetohydrodynamic Equations

A. M. Grundland, P. Picard

We present a version of the conditional symmetry method in order to obtain multiple wave solutions expressed in terms of Riemann invariants. We construct an abelian distribution of…

math-ph2003★ 89 cited

Hamiltonians separable in cartesian coordinates and third-order integrals of motion

Simon Gravel

We present in this article all Hamiltonian systems in E(2) that are separable in cartesian coordinates and that admit a third-order integral, both in quantum and in classical mecha…