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布朗束缚振子的统计性质
引用本文:李静辉,曹力,吴大进.布朗束缚振子的统计性质[J].华中科技大学学报(自然科学版),1993(5).
作者姓名:李静辉  曹力  吴大进
作者单位:河北师范大学 (李静辉),华中理工大学物理系 (曹力),华中理工大学物理系(吴大进)
摘    要:研究布朗束缚振子在马尔可夫极限下的统计性质.在绝热近似下获得了q的含时解;计算了q,p的一阶矩、二阶矩、交叉关联函数、自关联函数及其驰豫时间;求出了布朗束缚振子的平均第一通过时间.

关 键 词:布朗束缚振子  统计性质  自关联函数  驰豫时间  平均第一通过时间

The Statistical Properties of the Brownian Bound Oscillator
Li Jinghui Cao Li Wu Dajin.The Statistical Properties of the Brownian Bound Oscillator[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1993(5).
Authors:Li Jinghui Cao Li Wu Dajin
Institution:Li Jinghui Cao Li Wu Dajin
Abstract:The Statistical properties of Brownian bound oscillator under the Markovian limit are studied. Time-dependent solutions are obtained for the position of the oscillator under adia-batic approximation. Statistical quantities for the position and moments of the oscillator, i. e. , the first-order moments, the second-order moments, the cross-correlation functions and the self-correlation functions as well as the relaxation time have been calculated. The mean first-passage time of the Brownian bound oscillator is obtained.
Keywords:Brownian bound oscillator  statistical properties  self-correlation functions  relaxation time  mean first-passage time
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