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.
| Original language | English |
|---|---|
| Article number | 020 |
| Pages (from-to) | 2227-2234 |
| Number of pages | 8 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 18 |
| Issue number | 12 |
| DOIs | |
| State | Published - 1985 |
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