Addendum: Level spacings for integrable quantum maps in genus zero (Q1265729)
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scientific article
| Language | Label | Description | Also known as |
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| English | Addendum: Level spacings for integrable quantum maps in genus zero |
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Addendum: Level spacings for integrable quantum maps in genus zero (English)
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15 December 1998
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The author generalizes his previously obtained result for pair correlation functions of completely integrable quantum maps where he proved convergence to a Poisson process when the number of eigenvalues increase [ibid. 196, 289-318 (1998; 949.37040)]. In this paper the result is strengthened to almost everywhere convergence to a Poisson process along the entire sequence of Planck constants. This result is applied not to the individual pair correlation function but to the average.
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correlation function
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quantum maps
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statistical systems
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