Statistical Properties of Many Particle Eigenfunctions
Quantum Physics
2009-11-13 v1
Abstract
Wavefunction correlations and density matrices for few or many particles are derived from the properties of semiclassical energy Green functions. Universal features of fixed energy (microcanonical) random wavefunction correlation functions appear which reflect the emergence of the canonical ensemble as the number of particles approaches infinity. This arises through a little known asymptotic limit of Bessel functions. Constraints due to symmetries, boundaries, and collisions between particles can be included.
Cite
@article{arxiv.0704.1881,
title = {Statistical Properties of Many Particle Eigenfunctions},
author = {Eric J. Heller and Brian R. Landry},
journal= {arXiv preprint arXiv:0704.1881},
year = {2009}
}
Comments
13 pages, 4 figures