MAKE A MEME View Large Image BlochWaves1D.svg en A Bloch wave bottom can be broken up into the product of a periodic function top and a plane-wave center Blue is real part red is imaginary part The left side and right side represent the same Bloch wave broken up in two ...
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Keywords: BlochWaves1D.svg en A Bloch wave bottom can be broken up into the product of a periodic function top and a plane-wave center Blue is real part red is imaginary part The left side and right side represent the same Bloch wave broken up in two different ways involving the wave vector k1 left or k2 right The difference k1-k2 is a reciprocal lattice vector es Una onda de Bloch abajo puede expresarse como el producto de una función periódica arriba y una onda plana medio La parte real es azul y la parte imaginaria en rojo Los lados izquierdo y derecho representan la misma onda de Bloch expresada de dos formas diferentes involucrando los vectores de onda k1 izquierda o k2 derecha La diferencia k1-k2 es un vector de la red recíproca 2013-09-22 21 46 07 own Sbyrnes321 cc-zero Source code Created with Matplotlib <source lang python > Steven Byrnes 2013 This code is released to the public domain Written using Python 2 7 Matplotlib 1 2 1 from __future__ import division import math from math import pi import matplotlib pyplot as plt import numpy as np def u1 x a funny looking function with period 1 fpart math modf x 0 d abs fpart - 0 5 return 1j math cos 2 pi x + 2 + 1 / d + 0 3 - 3 1+1j x_list np linspace 0 5 num 5000 k1 1 8 k2 k1 - 2 pi u1_list np array u1 x for x in x_list u1_re_list u1_list real u1_im_list u1_list imag u2_list u1_list np exp 2 pi 1j x_list u2_re_list u2_list real u2_im_list u2_list imag exp1_list np exp 1j k1 x_list exp1_re_list exp1_list real exp1_im_list exp1_list imag exp2_list np exp 1j k2 x_list exp2_re_list exp2_list real exp2_im_list exp2_list imag psi1_list u1_list exp1_list psi1_re_list psi1_list real psi1_im_list psi1_list imag psi2_list u2_list exp2_list psi2_re_list psi2_list real psi2_im_list psi2_list imag assert max abs psi1_list - psi2_list < 1e-10 fig ax1 ax2 ax3 ax4 ax5 ax6 plt subplots 3 2 sharex True figsize 6 5 ax1 set_title ' u_1 x ' ax1 plot x_list u1_re_list 'b' x_list u1_im_list 'r' linewidth 2 ax2 set_title ' u_2 x ' ax2 plot x_list u2_re_list 'b' x_list u2_im_list 'r' linewidth 2 ax3 set_title ' e i k_1 x ' ax3 plot x_list exp1_re_list 'b' x_list exp1_im_list 'r' linewidth 2 ax4 set_title ' e i k_2 x ' ax4 plot x_list exp2_re_list 'b' x_list exp2_im_list 'r' linewidth 2 ax5 set_title ' \psi x u_1 x e i k_1 x ' ax5 plot x_list psi1_re_list 'b' x_list psi1_im_list 'r' linewidth 2 ax6 set_title ' \psi x u_2 x e i k_2 x ' ax6 plot x_list psi2_re_list 'b' x_list psi2_im_list 'r' linewidth 2 for ax in ax1 ax2 ax3 ax4 ax5 ax6 ax xaxis grid which 'major' linestyle '-' ax xaxis set_ticklabels ax yaxis set_visible False ax axhline y 0 color 'k' for ax in ax1 ax2 ax set_ylim -3 3 fig subplots_adjust left 0 05 right 0 95 bottom 0 02 top 0 94 hspace 0 3 fig savefig '/home/steve/Desktop/out svg' </source> Uploaded with UploadWizard Condensed matter physics Images with Python source code
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