Complex patterns in wave functions: drums, graphs and disorder.
作者信息
Gnutzmann Sven, Smilansky Uzy
机构信息
School of Mathematical Sciences, University of Nottingham, , Nottingham NG7 2RD, UK.
出版信息
Philos Trans A Math Phys Eng Sci. 2013 Dec 16;372(2007):20130264. doi: 10.1098/rsta.2013.0264. Print 2014 Jan 28.
Abstract
摘要
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本文引用的文献
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Statistics of Gaussian packets on metric and decorated graphs.度量图和装饰图上的高斯包统计。
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Nonlinear Schrödinger equation on graphs: recent results and open problems.图上的非线性薛定谔方程：最新结果和未解决问题。
Philos Trans A Math Phys Eng Sci. 2013 Dec 16;372(2007):20130002. doi: 10.1098/rsta.2013.0002. Print 2014 Jan 28.
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Stability of eigenvalues of quantum graphs with respect to magnetic perturbation and the nodal count of the eigenfunctions.量子图谱的特征值对磁扰的稳定性和特征函数的节点计数。
Philos Trans A Math Phys Eng Sci. 2013 Dec 16;372(2007):20120522. doi: 10.1098/rsta.2012.0522. Print 2014 Jan 28.
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Remarks on nodal volume statistics for regular and chaotic wave functions in various dimensions.关于各维度正则和混沌波函数节点体积统计的评述。
Philos Trans A Math Phys Eng Sci. 2013 Dec 16;372(2007):20120521. doi: 10.1098/rsta.2012.0521. Print 2014 Jan 28.
5
Calculation of multi-fractal dimensions in spin chains.自旋链中的多重分形维数计算。
Philos Trans A Math Phys Eng Sci. 2013 Dec 16;372(2007):20120520. doi: 10.1098/rsta.2012.0520. Print 2014 Jan 28.
6
Quantum ergodicity of random orthonormal bases of spaces of high dimension.高维空间中随机规范正交基的量子遍历性。
Philos Trans A Math Phys Eng Sci. 2013 Dec 16;372(2007):20120511. doi: 10.1098/rsta.2012.0511. Print 2014 Jan 28.
7
Quantum chaos for point scatterers on flat tori.平面环面上点散射子的量子混沌。
Philos Trans A Math Phys Eng Sci. 2013 Dec 16;372(2007):20120509. doi: 10.1098/rsta.2012.0509. Print 2014 Jan 28.
8
Spectral statistics of permutation matrices.置换矩阵的谱统计。
Philos Trans A Math Phys Eng Sci. 2013 Dec 16;372(2007):20120508. doi: 10.1098/rsta.2012.0508. Print 2014 Jan 28.
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Neumann nodal domains.诺伊曼节点域。
Philos Trans A Math Phys Eng Sci. 2013 Dec 16;372(2007):20120505. doi: 10.1098/rsta.2012.0505. Print 2014 Jan 28.
10
The nodal count {0,1,2,3,...} implies the graph is a tree.节点计数 {0,1,2,3,…} 意味着该图是一棵树。
Philos Trans A Math Phys Eng Sci. 2013 Dec 16;372(2007):20120504. doi: 10.1098/rsta.2012.0504. Print 2014 Jan 28.
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