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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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zhouqitufapuguji
通信系统中利用周期图谱方法进行谱估计的MATLAB程序(Communication system cycle map method for spectral estimation using MATLAB program)
- 2012-11-06 19:49:00下载
- 积分：1
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ACStsp
以31个城市的旅行商问题为例，通过编程实现蚁群算法的TSP问题求解。(using ant colony algorithm to solve the problem of the TSP )
- 2011-04-22 20:05:56下载
- 积分：1
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CT
说明： 利用matlab程序对图像进行重建，扇束滤波反投影法图像重建(Fan-beam filtered back projection image reconstruction)
- 2010-05-30 11:22:06下载
- 积分：1
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sep96
Source Code in Matlab implementing Source Separation as used in Bell and Sejnowski 1996.An information maximisation approach to blind separation and blind deconvolution.
- 2011-08-31 11:08:35下载
- 积分：1
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277257My-programme
助推滑翔飞行器轨迹仿真程序，可实现跳跃滑翔和平衡滑翔轨迹的仿真，采用伪谱法或直接打靶法可实现轨迹优化(glide trajectory)
- 2016-01-12 18:40:14下载
- 积分：1
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matlab
精通MATLAB—综合辅导与指南 精通MatLAB的很好的内容
(Proficient in MATLAB-comprehensive counseling and guidance of a good proficient in the content of MatLAB)
- 2009-05-02 11:42:00下载
- 积分：1
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vc
说明： 一个基于矢量变换下的异步电机调速系统matlab源码，对初学电机矢量变换的的有帮助(Transformation of a vector-based induction motor speed control system source code matlab for beginners motor vector of the help)
- 2010-10-25 14:00:16下载
- 积分：1
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ekf.m
extended kalman filter for matlab
- 2009-07-15 01:35:05下载
- 积分：1
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2SVDquzao
利用改进奇异值去除噪声，效果不错，带实例，可以参考(The improved singular value remove the noise, the effect is good, with examples, can reference)
- 2012-04-26 12:58:02下载
- 积分：1
