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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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matlab-program-resource
详解MATLAB/Simulink通信系统建模与仿真/刘学勇编著 配套的matlab程序(Detailed MATLAB/Simulink modeling and simulation of communication systems/Liu Xueyong compiled matching matlab program)
- 2014-10-14 19:40:35下载
- 积分:1
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nmfv1_3
nonnegative matrix factorization. This package contains the following files.
README.txt
example_1.m
example_2.m
nmf.m
nnlsm_activeset.m
nnlsm_blockpivot.m
solveNormalEqComb.m
- 2013-10-03 10:20:23下载
- 积分:1
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1
说明: mppt with mrac system
- 2014-01-27 20:48:11下载
- 积分:1
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MATLAB
matlab实现基于时域有限差分法模拟电磁传播的源代码(matlab source code to achieve based on the Finite Difference Time Domain Simulation of Electromagnetic Propagation)
- 2012-06-22 13:38:11下载
- 积分:1
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Heston
Heston Model option pricings and comparison(Compares the option prices obtained using the analytical Heston formula (1993) and the FFT method (Carr-Madan formula via FFT+ Simpson s, Carr-Madan using adaptive Gauss-Kronrod quadrature, and Lipton s formula using adaptive Gauss-Kronrod quadrature).)
- 2013-08-18 09:21:44下载
- 积分:1
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MATLAB
matlab basic exercise in korean
- 2011-11-10 20:27:33下载
- 积分:1
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dryd
This addresses the use of ANFIS function in the Fuzzy Logic Toolbox for nonlinear dynamical system identification. This
also requires the System Identification Toolbox, as a comparison is made between a nonlinear ANFIS and a linear ARX model.
- 2010-05-31 22:51:24下载
- 积分:1
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new
This function computes autocorrelation with a biased scaling.
- 2009-12-13 06:42:49下载
- 积分:1
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matlab_machine-induct
someinduction machine progs progs to get used to it
- 2012-04-22 19:28:44下载
- 积分:1