Density gradient expansion of correlation functions

Density-correlation functions in Calogero-Sutherland models.

Using arguments from two dimensional Yang-Mills theory and the collective coordinate formulation of the Calogero-Sutherland model, we conjecture the dynamical density correlation function for coupling l and 1/l, where l is an integer. We present overwhelming evidence that the conjecture is indeed correct. Submitted to Physical Review B, PACS numbers: 03.65.Ca, 05.30.Fk, 03.65.Fd ⋆ minahan@physi...

Topological expansion for the 1-hermitian matrix model correlation functions

We rewrite the loop equations of the hermitian matrix model, in a way which involves no derivative with respect to the potential, we compute all the correlation functions, to all orders in the topological 1/N expansion, as residues on an hyperelliptical curve. Those residues, can be represented as Feynmann graphs of a cubic field theory on the curve.

Calculation of reduced density matrices from correlation functions

Series expansion of Wiener integrals via block pulse functions

In this paper, a suitable numerical method based on block pulse functions is introduced to approximate the Wiener integrals which the exact solution of them is not exist or it may be so hard to find their exact solutions. Furthermore, the error analysis of this method is given. Some numerical examples are provided which show that the approximation method has a good degree of accuracy. The main ...

Equilibrium Time Correlation Functions in the Low-Density Limit

We consider a system of hard spheres in thermal equilibrium. Using Lanford's result about the convergence of the solutions of the BBGKY hierarchy to the solutions of the Boltzmann hierarchy, we show that in the low-density limit (Boltzmann-Grad limit): (i) the total time correlation function is governed by the linearized Boltzmann equation (proved to be valid for short times), (ii) the self tim...