The energy level spacing for two harmonic oscillators with generic ratio of frequencies
The energy level spacing for two harmonic oscillators with generic ratio of frequencies
复制标题
具有通用频率比的两个谐振子的能级间距
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
P. Bleher
中科院分区：
文献类型：
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作者：
P. Bleher
研究了具有广义频率比的两谐振子系统的能级间距极限分布。证明了对于任何固定的广义比α，不存在极限分布，但对于在[0，1]上具有绝对连续分布p(α)dα的随机α，存在能级间距的普适随机极限分布。讨论了随机极限分布的一些性质。
The limit distribution of energy level spacing is studied for the system of two harmonic oscillators with generic ratio of frequencies. It is proved that for any fixed generic ratioα no limit distribution exists, but for randomα with any absolutely continuous distributionp(α)dα on [0, 1] a universal random limit distribution of the energy level spacing exists. Some properties of the random limit distribution are discussed.