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.
2004, Vol. 21 
