Statistical Properties of Many Particle Eigenfunctions

Details Statistical Properties of Many Particle Eigenfunctions Statistical Properties of Many Particle Eigenfunctions

2007-04-14

arxiv.org/abs/0704.1881v1

Physics

Quantum Physics

13 pages, 4 figures

Scientific paper

10.1088/1751-8113/40/31/006

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.

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