Statistical properties of chaotic wavefunctions in two and
more dimensions |
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Authors: | E J Heller B Landry |
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Institution: | 1.Department of Physics,Harvard University,Cambridge,USA;2.Department of Chemistry and Chemical Biology,Harvard University,Cambridge,USA |
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Abstract: | Starting with Berry's hypothesis for fixed energy waves
in a classically chaotic system, and casting it in a Green
function form, we derive wavefunction correlations and density
matrices for few or many particles. 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. The Berry random wave hypothesis in many
dimensions may be viewed as an alternative approach to quantum
statistical mechanics, when extended to include constraints and
potentials. |
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Keywords: | |
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