Bogomolny E, Schmit C
Laboratoire de Physique Théorique et Modèles Statistiques, Université de Paris-Sud, Bâtiment 100, 91405 Orsay Cedex, France.
Phys Rev Lett. 2002 Mar 18;88(11):114102. doi: 10.1103/PhysRevLett.88.114102. Epub 2002 Mar 1.
Nodal domains are regions where a function has definite sign. In [] it is conjectured that the distribution of nodal domains for quantum eigenfunctions of chaotic systems is universal. We propose a percolationlike model for description of these nodal domains which permits us to calculate all interesting quantities analytically, agrees well with numerical simulations, and due to the relation to percolation theory opens the way to deeper understanding of the structure of chaotic wave functions.
节点域是函数具有确定符号的区域。在[文献]中推测，混沌系统量子本征函数的节点域分布是普适的。我们提出了一个类似渗流的模型来描述这些节点域，该模型使我们能够解析地计算所有感兴趣的量，与数值模拟结果吻合良好，并且由于与渗流理论的关系，为更深入理解混沌波函数的结构开辟了道路。
