0 Stokes Multipliers , Spectral Determinants and T - Q relations ∗

Stokes Multipliers , Spectral Determinants and T - Q relations ∗

Recently, a remarkable correspondence has been unveiled between a certain class of ordinary linear differential equations (ODE) and integrable models. In the first part of the report, we survey the results concerning the 2nd order differential equations , the Schrödinger equation with a polynomial potential. We will observe that fundamental objects in the study of the solvable models, e.g., Bax...

On the relation between Stokes multipliers and the T-Q systems of conformal field theory

The vacuum expectation values of the so-called Q-operators of certain integrable quantum field theories have recently been identified with spectral determinants of particular Schrödinger operators. In this paper we extend the correspondence to the T-operators, finding that their vacuum expectation values also have an interpretation as spectral determinants. As byproducts we give a simple proof ...

Functional Relations in Stokes Multipliers and Solvable Models related to Uq ( A ( 1 ) n )

Recently, Dorey and Tateo have investigated functional relations among Stokes multipliers for a Schrödinger equation (second order differential equation) with a polynomial potential term in view of solvable models. Here we extend their studies to a restricted case of n + 1−th order linear differential equations. ∗e-mail: [email protected]

Functional relations in Stokes multipliers - Fun with x 6 + αx 2 potential -

Multipliers on Spaces of Analytic Functions

In the paper we find, for certain values of the parameters, the spaces of multipliers ( H(p, q, α), H(s, t, β) ) and ( H(p, q, α), ls ) , where H(p, q, α) denotes the space of analytic functions on the unit disc such that (1 − r)Mp(f, r) ∈ Lq( dr 1−r ). As corollaries we recover some new results about multipliers on Bergman spaces and Hardy spaces. §0. Introduction. Given two sequence spaces X ...