Brouwer Piet W
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Oct;68(4 Pt 2):046205. doi: 10.1103/PhysRevE.68.046205. Epub 2003 Oct 21.
We study the statistical properties of wave functions in a chaotic billiard that is opened up to the outside world. Upon increasing the openings, the billiard wave functions cross over from real to complex. Each wave function is characterized by a phase rigidity, which is itself a fluctuating quantity. We calculate the probability distribution of the phase rigidity and discuss how phase rigidity fluctuations cause long-range correlations of intensity and current density. We also find that phase rigidities for wave functions with different incoming wave boundary conditions are statistically correlated.
我们研究了一个向外界开放的混沌台球中波函数的统计特性。随着开口的增加，台球波函数从实函数转变为复函数。每个波函数都由一个相位刚度来表征，而相位刚度本身就是一个波动量。我们计算了相位刚度的概率分布，并讨论了相位刚度波动如何导致强度和电流密度的长程相关性。我们还发现，具有不同入射波边界条件的波函数的相位刚度在统计上是相关的。
