Quantum Signature of Classical Chaos in the Temporal Mean of
Expectation Values of Observables
JIE Quanlin1, XU Gongou1,2,3
1Department of Physics, Nanjing University, Nanjing 210008
2Department of Modern Physics, and National Laboratory of Heavy Ion Accelerator, Lanzhou University, Lanzhou 730000
3Institute of Nuclear Research, Academia Sinica, Shanghai 201800
Quantum Signature of Classical Chaos in the Temporal Mean of
Expectation Values of Observables
JIE Quanlin1;XU Gongou1,2,3
1Department of Physics, Nanjing University, Nanjing 210008
2Department of Modern Physics, and National Laboratory of Heavy Ion Accelerator, Lanzhou University, Lanzhou 730000
3Institute of Nuclear Research, Academia Sinica, Shanghai 201800
Abstract： In an integrable quantum system, the time averages of expectation values of a complete set of commuting observables (CSCO) form a regular pattern when every common eigenstate of the CSCO is chosen as the initial state. As the system transits to chaotic, the regular pattern is destroyed and these points cluster.
JIE Quanlin;XU Gongou;. Quantum Signature of Classical Chaos in the Temporal Mean of
Expectation Values of Observables
[J]. 中国物理快报, 1995, 12(10): 577-580.
JIE Quanlin, XU Gongou,. Quantum Signature of Classical Chaos in the Temporal Mean of
Expectation Values of Observables
. Chin. Phys. Lett., 1995, 12(10): 577-580.
1995, Vol. 12 
