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- W998355306 abstract "In this chapter we apply the results collected in the previous chapters to an analysis of spectral statistics. The research field of quantum chaos consistes of the search for fingerprints of classical chaos in quantum mechanics. In classical mechanics chaoticity is characterised by the long time behaviour of a system, e.g. by the exponentially growing separation of trajectories started with neighbouring initial conditions. In quantum mechanics the long time behaviour of a bound system is always quasi-periodic - a property which in classical mechanics is characteristic of integrable systems. Therefore, the connection between classically chaotic dynamics and spectral statitics has to be established in a more indirect way.KeywordsForm FactorPeriodic OrbitChaotic SystemTrace FormulaRandom Matrix TheoryThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W998355306 created "2016-06-24" @default.
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- W998355306 date "2003-01-01" @default.
- W998355306 modified "2023-10-18" @default.
- W998355306 title "Spectral Statistics and Spin" @default.
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- W998355306 doi "https://doi.org/10.1007/978-3-540-36613-3_7" @default.
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