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Classical fluctuations and semiclassical matrix elements

Bruno Eckhardt·Imre Varga·Peter Pollner
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Abstract

We discuss the fluctuation properties of diagonal matrix elements in the semiclassical limit in chaotic systems. For extended observables, covering a phase space area of many times Planck's constant, both classical and quantal distributions are Gaussian. If the observable is a projection onto a single state or an incoherent projection onto several states classical and quantal distribution differ, but the mean and the variance are still obtainable from classical considerations.

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Bruno Eckhardt, Imre Varga, Peter Pollner. 2000-08-17. Classical fluctuations and semiclassical matrix elements. https://doi.org/10.1143/ptps.139.59

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