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Semiclassical Evaluation of the Quantum Propagator of Chaotic Systems |
| ZHANG Fei-Zhou1;WANG Jiao2;GU Yan1,2 |
| 1Department of Astronomy and Applied Physics, 2Center of Nonlinear Science, University of Science and Technology of China, Hefei 230026
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| Cite this article: |
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ZHANG Fei-Zhou, WANG Jiao, GU Yan 2000 Chin. Phys. Lett. 17 472-474 |
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Abstract The propagators of quantum chaotic systems in configuration space are calculated semiclassically. For the strongly chaotic system whose phase space is torus, such as baker’s map, we find that, long after a logarithm time, the quantum propagator can be evaluated approximately as the local average of the semiclassical one on each quantum cell h.
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| Keywords:
05.45.+b
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Published: 01 July 2000
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