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

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Urbina, Juan Diego ; Richter, Klaus
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arXiv PDF (08.01.2008)
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Date of publication of this fulltext: 05 Aug 2009 13:57


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 ...


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