ar X iv : m at h - ph / 9 90 80 03 v 1 2 A ug 1 99 9 COMBINATORICS OF THE ŝl 2 SPACES OF COINVARIANTS

ar X iv : h ep - t h / 92 12 03 9 v 1 5 D ec 1 99 2 On Free Boson Representations of

A boson representation of the quantum affine algebra Uq(ŝl 2) is realized based on the Wakimoto construction. We discuss relations with the other boson representations.

ar X iv : h ep - l at / 9 90 80 47 v 1 2 7 A ug 1 99 9 1 Monte Carlo Hamiltonian

We suggest how to construct an effective low energy Hamiltonian via Monte Carlo starting from a given action. We test it by computing thermodynamical observables like average energy and specific heat for simple quantum systems.

ar X iv : m at h - ph / 9 90 80 23 v 1 2 5 A ug 1 99 9 Singularity theory study of overdetermination in models for L – H transitions

Two dynamical models that have been proposed for determining aspects of confined plasma behavior around L–H transitions are analysed using singular-ity theory and stability theory. The recognition problem for the unperturbed bifurcation sets is solved by applying singularity theory methods to determine the normal form and codimension of the singular points. We find that in both cases the unpert...

ar X iv : a lg - g eo m / 9 60 80 25 v 1 2 2 A ug 1 99 6 COUNTING PLANE CURVES OF ANY GENUS

ar X iv : m at h - ph / 9 90 80 09 v 1 6 A ug 1 99 9 Schrödinger Equation with Moving Point Interactions in Three Dimensions

We consider the motion of a non relativistic quantum particle in R 3 subject to n point interactions which are moving on given smooth trajec-tories. Due to the singular character of the time-dependent interaction, the corresponding Schrödinger equation does not have solutions in a strong sense and, moreover, standard perturbation techniques cannot be used. Here we prove that, for smooth initial...