%0 Journal Article %J Journal of Physics A: Mathematical & Theoretical %D 2007 %T Statistical properties of many particle eigenfunctions. %A Heller, EricJ. %A Brian R. Landry %K BESSEL functions %K CONSTRAINTS (Physics) %K CORRELATION (Statistics) %K DENSITY matrices %K EIGENFUNCTIONS %K GREEN'S functions %K STATISTICAL physics %K Stochastic Processes %K SYMMETRY (Physics) %K WAVE functions %X

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 N? ?. This arises through a little known asymptotic limit of Bessel functions. Constraints due to symmetries, boundaries and collisions between particles can be included. [ABSTRACT FROM AUTHOR]

%B Journal of Physics A: Mathematical & Theoretical %V 40 %P 9259 - 9274 %G eng %U http://ezp-prod1.hul.harvard.edu/login?url=http://search.ebscohost.com/login.aspx?direct=true&db=aph&AN=44660056&site=ehost-live&scope=site