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cond-mat2002
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
Application of the -function theory of Painlevé equations to random matrices: \PV, \PIII, the LUE, JUE and CUE
P. J. Forrester, N. S. Witte
With 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…