ar X iv : s ol v - in t / 9 61 20 02 v 2 2 0 D ec 1 99 6 Correlators of the phase model

ar X iv : s ol v - in t / 9 61 20 02 v 1 4 D ec 1 99 6 Correlators of the phase model

We introduce the phase model on a lattice and solve it using the algebraic Bethe ansatz. Time-dependent temperature correlation functions of phase operators and the " darkness formation probability " are calculated in the thermodynamical limit. These results can be used to construct integrable equations for the correlation functions and to calculate their asymptotics.

ar X iv : s ol v - in t / 9 61 00 10 v 2 2 6 M ay 1 99 7 An orthogonal basis for the B N - type Calogero model

We investigate algebraic structure for the BN -type Calogero model by using the exchange-operator formalism. We show that the set of the Jack polynomials whose arguments are Dunkl-type operators provides an orthogonal basis.

ar X iv : s ol v - in t / 9 61 00 10 v 1 2 8 O ct 1 99 6 An orthogonal basis for the B N - type Calogero model

We investigate algebraic structure for the BN -type Calogero model by using the exchange-operator formalism. We show that the set of the Jack polynomials whose arguments are Dunkl-type operators provides an orthogonal basis.

ar X iv : g r - qc / 9 61 20 09 v 1 3 D ec 1 99 6 Signal analysis of gravitational waves

ar X iv : s ol v - in t / 9 71 20 13 v 1 1 9 D ec 1 99 7 A RIEMANN - HILBERT PROBLEM FOR AN ENERGY DEPENDENT SCHRÖDINGER OPERATOR

We consider an inverse scattering problem for Schrödinger operators with energy dependent potentials. The inverse problem is formulated as a RiemannHilbert problem on a Riemann surface. A vanishing lemma is proved for two distinct symmetry classes. As an application we prove global existence theorems for the two distinct systems of partial differential equations ut + (u/2 + w)x = 0, wt ± uxxx +...