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Connection Between Quantum-Classical Correspondence and Long-Range Correlations in Quantum Spectra |
| LI Xi-Guo1,2;SONG Jian-Jun2 |
| 1Centre of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000
2Institute of Modern Physics, Chinese Academic of Sciences, Lanzhou 730000 |
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| Cite this article: |
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LI Xi-Guo, SONG Jian-Jun 2004 Chin. Phys. Lett. 21 987-990 |
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Abstract Based on the Berry-Tabor trace formula, a semiclassical quantization condition for the periodic orbits in a two-dimensional uncoupled oscillator system and the correspondence relation between the quantum levels and classical trajectories of the system have been studied in detail. Making use of the quantum-classical correspondence relation, it has been found that if a set of quantum levels corresponds to the periodic orbits with the same topology structure M (M1,M2), there will be long-range correlations among these quantum levels.
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| Keywords:
03.65.Sq
02.30.Ik
05.45.Mt
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Published: 01 June 2004
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| PACS: |
03.65.Sq
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(Semiclassical theories and applications)
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02.30.Ik
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(Integrable systems)
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05.45.Mt
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(Quantum chaos; semiclassical methods)
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