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
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
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.
LI Xi-Guo;SONG Jian-Jun. Connection Between Quantum-Classical Correspondence and Long-Range Correlations in Quantum Spectra[J]. 中国物理快报, 2004, 21(6): 987-990.
LI Xi-Guo, SONG Jian-Jun. Connection Between Quantum-Classical Correspondence and Long-Range Correlations in Quantum Spectra. Chin. Phys. Lett., 2004, 21(6): 987-990.