Thermal Fluctuations in Quantized Chaotic Systems

Details Thermal Fluctuations in Quantized Chaotic Systems Thermal Fluctuations in Quantized Chaotic Systems

1995-11-10

arxiv.org/abs/chao-dyn/9511001v3

J.Phys. A29 (1996) L75-L79

Physics

Condensed Matter

6 pages in RevTeX 3.0, this version to be published in J.Phys.A

Scientific paper

10.1088/0305-4470/29/4/003

We consider a quantum system with $N$ degrees of freedom which is classically chaotic. When $N$ is large, and both $\hbar$ and the quantum energy uncertainty $\Delta E$ are small, quantum chaos theory can be used to demonstrate the following results: (1) given a generic observable $A$, the infinite time average $\overline A$ 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 $A$; (2) the time variations of $ - \overline A$ are too small to represent thermal fluctuations; (3) however, the time variations of $ - ^2$ can be consistently interpreted as thermal fluctuations, even though these same time variations would be called quantum fluctuations when $N$ is small.

Affiliated with

Also associated with

No associations

Rating

Thermal Fluctuations in Quantized Chaotic Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Thermal Fluctuations in Quantized Chaotic Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermal Fluctuations in Quantized Chaotic Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-189841