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Published May 1, 1988 | public
Journal Article Open

Quantum chaos in a schematic shell model


To test the connection between chaotic classical motion and quantum spectral and overlap statistics, we examine a schematic three-orbital shell model. This system is novel in that the quantum phase space is compact and the momentum dependence of the classical Hamiltonian is nonstandard. We find good agreement with the expected behavior of the spectral statistics and reasonable agreement for the overlap distributions. Also, there is evidence that the eigenvector statistics are more sensitive to the details of the classical dynamics than are the eigenvalues.

Additional Information

©1988 The American Physical Society. Received 26 October 1987. This work, which is based on the thesis by D.C.M., [32] was supported in part by the National Science Foundation Grant Nos. PHY86-04197 and PHY85-05682. We would also like to acknowledge computer time on the CRAY XMP provided by the San Diego Supercomputing Center.


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