Statistical Properties of Many Particle Eigenfunctions

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.

13 pages, 4 figures

References in corpus (3)

• Chaos and Quantum Thermalization
• Wave function correlations on the ballistic scale: Exploring quantum chaos by quantum disorder
• Quantum billiards and constrained random wave correlations

Cited by in corpus (4)

• Thermalization and its mechanism for generic isolated quantum systems
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Stability and convergence of the Method of Fundamental Solutions for Helmholtz problems on analytic domains
• Universal correlations in chaotic many-body quantum states: Fock-space formulation of Berrys random wave model