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Eigenfunctions of integrable planar billiards are studied — in particular,
the number of nodal domains, ν of the eigenfunctions
with Dirichlet boundary conditions are considered. The billiards
for which the time-independent Schrö dinger equation (Helmholtz
equation) is separable admit trivial expressions for the number
of domains. Here, we discover that for all separable and nonseparable
integrable billiards, ν satisfies certain difference equations.
This has been possible because the eigenfunctions can be
classified in families labelled by the same value ofm mod kn, given
a particular k, for a set of quantum numbers, m, n. Further, we observe
that the patterns in a family are similar and the algebraic representation
of the geometrical nodal patterns is found. Instances of
this representation are explained in detail to understand the beauty
of the patterns. This paper therefore presents a mathematical connection
- 2014-10-06 20:57:54下载
- 积分：1
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Papers
VLSI design research papers that has been done 1980-2010
- 2015-02-28 18:42:59下载
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66767
2d vector field visualization in matlab
- 2015-03-03 15:06:56下载
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extracion_skelton_of_image
本程序主要实现图像的骨架化。细化和骨架化操作是把区域的面宽度缩到最小，即单像素宽度，也就是把物体变细，直到现最小的像点连通性。(The main procedures of the skeleton of the image. Refinement and skeleton operation the face width of the region is reduced to a minimum, i.e., a single pixel width, which is the object thinner, until now the smallest image point connectivity.)
- 2021-01-16 23:28:52下载
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Matlabmotor
matlab下的三相异步电机模型，可用于仿真(matlab under the three-phase induction motor model can be used for simulation)
- 2009-04-12 13:21:38下载
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HOS_MIMO
Second and Higher-Order Statistics based Multiple-Input-Multiple-Output System
Blind Identification Matlab Code
(Second and Higher-Order Statistics based Multiple-Input-Multiple-Output System Blin Matlab d Identification Code)
- 2007-04-05 17:01:38下载
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MIMO_MRI
MIMO MPC controll demo
- 2011-07-29 15:25:06下载
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schroed
Simple Filters: Echo and Reverb
- 2012-06-30 23:47:31下载
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A1_10
mathews数值分析书的源代码，用matlab编写，第一章第十部分。(mathews numerical analysis of the book' s source code, using matlab, the tenth part of the first chapter.)
- 2011-10-20 10:24:53下载
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Algorithms-for-Image-Processing-and-Computer-Visi
Algorithms for Image Processing and Computer Vision 2nd
- 2014-01-20 18:53:23下载
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