Analogues between a quantum many body problem and the log-gas
- 11 July 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (10) , 2059-2067
- https://doi.org/10.1088/0305-4470/17/10/018
Abstract
The ground state wavefunction of a t-component quantum system in one dimension interacting via the 1/r2 potential is interpreted as the Boltzmann probability factor of a t-component log-gas. This allows predictions regarding the asymptotic behaviour of the ground state correlations and density matrix to be made. Using the results of an exact calculation of a two-component log-gas, exact results are obtained for the quantum system in the case t=2.Keywords
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