arXiv subjects
Publications and source records attributed to Y. Chen.
We consider a quantum moany-body problem in one-dimension described by a Jastrow type, characterized by an exponent $λ$ and a parameter $γ$. We show that with increasing $γ$, the Fermi Liquid state ($γ=0)$ crosses over to non-Fermi liquid states, characterized by effective "temperature".
We determine the asymptotic level spacing distribution for the Laguerre Ensemble in a single scaled interval, $(0,s)$, containing no levels, $E_{\bt}(0,s)$, via Dyson's Coulomb Fluid approach. For the $α=0$ Unitary-Laguerre Ensemble, we recover the exact spacing distribution found by both Edelman and Forrester, while for $α\neq 0$, the leading terms of $E_{2}(0,s)$, found by Tracy and Widom, are reproduced without the use of the Bessel kernel and the associated Painlevé transcendent. In the same approximation, the next leading term, due to a ``finite temperature'' perturbation $(\bt\neq 2)$, is found.