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Random Wave Functions with boundary and normalization constraints: Quantum statistical physics meets quantum chaos

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arxiv 0801.1197 v1 pith:JJRQNKFJ submitted 2008-01-08 nlin.CD cond-mat.mes-hallmath-phmath.MPquant-ph

Random Wave Functions with boundary and normalization constraints: Quantum statistical physics meets quantum chaos

Juan Diego Urbina , Klaus Richter This is my paper
classification nlin.CD cond-mat.mes-hallmath-phmath.MPquant-ph
keywords quantumrandomeigenfunctionnormalizationphysicsstatisticaluniversalversion
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We present an improved version of Berry's ansatz able to incorporate exactly the existence of boundaries and the correct normalization of the eigenfunction into an ensemble of random waves. We then reformulate the Random Wave conjecture showing that in its new version it is a statement about the universal nature of eigenfunction fluctuations in systems with chaotic classical dynamics. The emergence of the universal results requires the use of both semiclassical methods and a new expansion for a very old problem in quantum statistical physics

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  1. Berry Picking: Random Wave Chaos Hierarchy for BPS Microstate Geometries

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    Wave chaos in BPS microstate geometries strengthens toward black-hole-like throats while geodesic chaos weakens, and weak-coupling CFT Renyi entropies do not share that bulk hierarchy.