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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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xianxingtiaopin
线性调频，用matlab编写生成FPGA的mif文件(LFM, prepared with the matlab generate FPGA-mif file)
- 2009-10-23 17:12:43下载
- 积分：1
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solveLE
检验线性方程组是否可求，用换行法求解线性方程组(Inspection linear equations can be asked whether, with a line break method is used to solve the linear equations
)
- 2012-04-24 07:48:21下载
- 积分：1
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hgfhgh
海面上一轮船沿直线匀速前行，速度为30公里/小时，船上有一雷达可用来测距、测角，船长关心的是周围目标那些是活动的船，那些是不动的岩石，若是活动的船，请按下面假设，分析有关因素，给出船的运动方向和速度。(ships on the sea along a straight uniform before the trip and a speed of 30 km/hour, On board there is a radar can be used to measure the distance and angle measurement, the captain of concern is around the goal of those activities is the boat. those are immobile rocks, if the ship by the following assumptions, analysis of the relevant factors, the boat is the direction and speed of movement.)
- 2006-07-09 12:58:37下载
- 积分：1
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CIC_8
设计一个梳妆滤波器，将信号进行8被内插后，进行梳妆滤波。(Dressing the design of a filter, the signal was interpolated to 8 after filtering for dressing.)
- 2009-03-30 13:06:33下载
- 积分：1
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AdvancedPIDControlMATLABProgram
《先进 PID 控制及其 MATLAB 仿真》
刘金琨 著
电 子 工 业 出 版 社
压缩文件里包含了这本书的电子档和全书的程序。一章一个文件夹。(" Advanced PID Control and MATLAB Simulation of" Publishing House of Electronics Industry Liu Jinkun a compressed file that contains the electronic book file and the program book. A chapter of a folder.)
- 2009-05-11 11:26:36下载
- 积分：1
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fsk
不需要用两个ask信号就可以产生fsk信号.可以设置频率和码元速率(to generte fsk)
- 2011-05-07 23:39:20下载
- 积分：1
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busout
show result of power flow analysis
- 2013-07-27 19:03:27下载
- 积分：1
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adaptive-beamforming-algorithm
自适应波束形成多种算法的matlab实现，算法类型：MVDR,LCEC,GSC,PCI,MWF,PCA-MVB,SC-MVB,EC-A (A variety of adaptive beamforming algorithm matlab implementation, algorithm type: MVDR, LCEC, GSC, PCI, MWF, PCA-MVB, SC-MVB, EC-A)
- 2011-06-16 10:17:35下载
- 积分：1
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toolbox
matlab时间序列分析工具箱，各种时频分析方法的matlab源码。(matlab time series analysis toolbox, various time-frequency analysis methods matlab source.)
- 2009-02-15 17:17:08下载
- 积分：1
