Fluctuations of quantum spectra and their semiclassical limit in the transition between order and chaos
- 21 August 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (12), 2227-2234
- https://doi.org/10.1088/0305-4470/18/12/020
Abstract
The authors compare semiclassical and quantum mechanical (numerical) results for spectral statistics in the transition from order to chaos in the corresponding classical system. Scale invariant two-dimensional Hamiltonian are discussed and significant discrepancies are found only for level spacings smaller than one average spacing. For the semiclassical limit they use the result of Berry and Robnik (1984) for the nearest-neighbour spacing distribution and the extension of it to the Delta 3 statistic.Keywords
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