P. J. Forrester

activity

19942024

most citedThe Calogero-Sutherland Model and Generalized Classical Polynomials

281 citations · 917 across the 35 of their papers we have counts for

collaborators

Showing 2002Show all

3 papers · 1 filter

cond-mat2002★ 142 cited

Finite one dimensional impenetrable Bose systems: Occupation numbers

P. J. Forrester, N. E. Frankel, T. M. Garoni +1

Bosons in the form of ultra cold alkali atoms can be confined to a one dimensional (1d) domain by the use of harmonic traps. This motivates the study of the ground state occupation…

math-ph2002★ 23 cited

{\bf $τ$ -Function Evaluation of Gap Probabilities in Orthogonal and Symplectic Matrix Ensembles}

P. J. Forrester, N. S. Witte

It has recently been emphasized that all known exact evaluations of gap probabilities for classical unitary matrix ensembles are in fact $τ$ -functions for certain Painlevé systems.…

math-ph2002

Application of the $τ$ -function theory of Painlevé equations to random matrices: \PV, \PIII, the LUE, JUE and CUE

P. J. Forrester, N. S. Witte

With $< \cdot >$ denoting an average with respect to the eigenvalue PDF for the Laguerre unitary ensemble, the object of our study is $ \tilde{E}_N(I;a,μ) := < \prod_{l=1}^N χ_{(0,\i…

Finite one dimensional impenetrable Bose systems: Occupation numbers

{\bf τ-Function Evaluation of Gap Probabilities in Orthogonal and Symplectic Matrix Ensembles}

Application of the τ-function theory of Painlevé equations to random matrices: \PV, \PIII, the LUE, JUE and CUE

{\bf $τ$ -Function Evaluation of Gap Probabilities in Orthogonal and Symplectic Matrix Ensembles}

Application of the $τ$ -function theory of Painlevé equations to random matrices: \PV, \PIII, the LUE, JUE and CUE