Eduardo G Vergini 2004 J. Phys. A: Math. Gen. 37 6507 doi:10.1088/0305-4470/37/25/006
Semiclassical limit of chaotic eigenfunctions
Eduardo G Vergini
Show affiliationsA generic chaotic eigenfunction has a non-universal contribution consisting of scars of short periodic orbits. This contribution, which cannot be predicted by a model of random universal waves, survives the semiclassical limit (when 
goes to zero). In this limit, the sum of scarred intensities only depends on η ≡ (f − 1)(∑λ2i)1/2/hT, with f the degrees of freedom, {λi} the set of positive Lyapunov exponents and hT the topological entropy. Moreover, taking into account that relative fluctuations of the scarred intensities tend to zero as 1/|ln |, we are able to provide a detailed description of a generic chaotic eigenfunction in the semiclassical limit. Our conclusions were verified in the Bunimovich stadium billiard.
- PACS
- MSC
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81Q50 Quantum chaos (See also 37Dxx)
81Q20 Semiclassical techniques including WKB and Maslov methods
- Subjects
- Dates
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Issue 25 (25 June 2004)
Received 13 February 2004
Published 9 June 2004
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Semiclassical limit of chaotic eigenfunctions
Eduardo G Vergini 2004 J. Phys. A: Math. Gen. 37 6507
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