-
1
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
-
guandao1
惯性导航误差分析程序可以做误差曲线图像,可以模拟真实系统的误差特性(Inertial navigation error analysis program can make the error curve of the image, you can simulate the real system error characteristic)
- 2007-08-29 19:24:04下载
- 积分:1
-
chebyshev
chebyshev filter design. the file can perform as conventional chebyshev filter
- 2011-02-09 10:00:40下载
- 积分:1
-
equalizer_design
Designs a frequency-domain and time-domain FIR equalizer for
a single-input single-output (SISO) channel.
Frequency-domain equalization uses a Chebychev criteria and
is specified in terms of frequency response functions.
It is a convex problem (which can be formulated as an SOCP):
(
where H is the frequency response function and our variable
is the filter impulse response h. Function G is the unequalized
frequency response and G_des is the desired freq response.
Time-domain equalization immediately designs the impulse
response function by specifying the problem in time (it s an LP):
minimize max_{t neq D} |g_tilde(t)|
s.t. g_tilde(D) = 1
)
- 2011-05-27 21:41:59下载
- 积分:1
-
Test2_commande
hinfini test under matlab
- 2012-08-11 01:54:07下载
- 积分:1
-
Main
Detecting the presence of smoke in videos can be a very critical as it is a prior sign of fire. Once this technique is implemented with improved accuracy, it has the potential to avoid damages to both lives and property.
- 2014-10-27 13:16:31下载
- 积分:1
-
fujian
计算弧齿锥齿轮几何参数及生成齿面上的点的坐标值(Calculate the value of the coordinates of arc bevel gear geometric parameters and generate the tooth surface points)
- 2012-10-20 16:35:09下载
- 积分:1
-
zhonggao
基于双PWM变流器的直驱永磁风力发电系统的建模与仿真,本人的毕业设计,波形良好,运用SVPWM(Modeling and Simulation of direct drive permanent magnet wind power generation system based on double PWM converter, my graduation design, waveform is good, the use of SVPWM)
- 2020-07-01 19:20:02下载
- 积分:1
-
untitled2
双馈风力电机模型,可以再修改,dq坐标下模型(Doubly-fed wind-electric model can be modified, dq model coordinates)
- 2009-07-09 16:45:32下载
- 积分:1
-
hookeandjeeves
Hooke and Jeeves Search Method Matlab m file
- 2013-05-13 22:40:56下载
- 积分:1