Mark Srednicki 1996 J. Phys. A: Math. Gen. 29 L75 doi:10.1088/0305-4470/29/4/003
Thermal fluctuations in quantized chaotic systems
Mark Srednicki
Show affiliationsLETTER TO THE EDITOR
We consider a quantum system with N degrees of freedom which is classically chaotic. When N is large, and both 
and the quantum energy uncertainty 
are small, quantum chaos theory can be used to demonstrate the following results: (i) given a generic observable A, the infinite time average 
of the quantum expectation value 
is independent of all aspects of the initial state other than the total energy, and equal to an appropriate thermal average of A; (ii) the time variations of 
are too small to represent thermal fluctuations; (iii) however, the time variations of 
can be consistently interpreted as thermal fluctuations, even though these same time variations would be called quantum fluctuations when N is small.
- PACS
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05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
- MSC
- Subjects
- Dates
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Issue 4 (21 February 1996)
Received 20 November 1995
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Thermal fluctuations in quantized chaotic systems
Mark Srednicki 1996 J. Phys. A: Math. Gen. 29 L75
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