Statistical properties of many particle eigenfunctions

2007/04/14 by Eric J. Heller, Brian R. Landry · 2 citations
Physics and Astronomy · #Quantum chaos and dynamical systems #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.1088/1751-8113/40/31/006

13 pages, 4 figures

arxiv created 2007/04/14 · openalex publication_date 2007/07/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Chaos and Quantum Thermalization

Cited by

• Dynamics of a quantum phase transition and relaxation to a steady state
• Thermalization and its mechanism for generic isolated quantum systems

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