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LONG-RANGE CORRELATIONS IN QUANTUM SPECTRA

LI XI-GUO SONG JIAN-JUN

LONG-RANGE CORRELATIONS IN QUANTUM SPECTRA

LI XI-GUO, SONG JIAN-JUN
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  • Abstract views:  2915
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Publishing process
  • Received Date:  25 March 2001
  • Accepted Date:  28 April 2001
  • Published Online:  20 September 2001

LONG-RANGE CORRELATIONS IN QUANTUM SPECTRA

  • 1. (1)兰州重离子加速器国家实验室原子核理论研究中心,兰州730000;中国科学院近代物理研究所,兰州730000; (2)中国科学院近代物理研究所,兰州730000

Abstract: Starting From Berry-Tabor trace formula, Einstein-Brillouin-Keller (EBK) quantization condition is adopted to derive action quantization conditions of periodic orbits in two dimensional uncoupled oscillators. The correspondence relations between quantum levels and periodic orbits are found. They indicate that two levels' cotributions to recurrence function coherently interfere with each other if the two levels correspond to periodic orbits with identical topology. The peaks in recurrence spectra results from coherent interference among levels whose corresponding periodic orbits have identical topology. There are long-range correlations among these levels.

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