{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This simple Python example evaluates the WKB solution to the \n", "Schrodinger equation for a wave with energy $E$ passing over\n", "a trangular barrier: \n", "\\begin{equation}\n", "V(x) = \\left\\{\\begin{array}{ll} 0 & x < \\frac{L}{4} \\\\ \n", " \\frac{4V_0}{L}(x-\\frac{L}{4}) & \\frac{L}{4} \\le x < \\frac{L}{2} \\\\\n", " \\frac{4V_0}{L}(\\frac{3L}{4}-x) & \\frac{2L}{4} \\le x < \\frac{3L}{4} \\\\\n", " 0 & \\frac{3L}{4} \\le x \n", "\\end{array}\\right.\n", "\\end{equation} \n", "and then plots the real and imaginary parts of the resulting \n", "wave function." ] }, { "cell_type": "code", "execution_count": 110, "metadata": {}, "outputs": [], "source": [ "#In this cell we fix the variables which will be shared by the Jupyter cells below.\n", "E = 10\n", "Dx = 0.025\n", "L=100\n", "N = int(L/Dx) # Number of values to plot\n", "V0 = 6 # Maximum value of the potential" ] }, { "cell_type": "code", "execution_count": 111, "metadata": {}, "outputs": [], "source": [ "#In this cell we define the function V(x)\n", "def V(x):\n", " if x < L/4:\n", " V=0\n", " elif L/4 <= x and x < L/2:\n", " V=4*V0*(x-L/4)/L\n", " elif L/2 <= x and x < 3*L/4:\n", " V=4*V0*(3*L/4-x)/L\n", " else:\n", " V=0\n", " return V" ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [], "source": [ "# Next we define the momentum function p(x)\n", "def p(x):\n", " p = (E-V(x))**0.5\n", " return p" ] }, { "cell_type": "code", "execution_count": 113, "metadata": {}, "outputs": [], "source": [ "# Using p(x) we compute the WKB wave function integrating in from x=L\n", "from scipy.integrate import quad # Import the scientific python routine \"quad\" to perform the integral\n", "def WKB(x):\n", " Psi = (p(100)/p(x))**0.5*np.exp(-1j*quad(p,x,L,epsabs=1e-4)[0]) # Construct the WKB approximation, using the \n", " # result [0] of the integral, rather than the error [1]\n", " # set a low value for the allowed absolute error, epsabs,\n", " # to avoid warnings.\n", " return Psi" ] }, { "cell_type": "code", "execution_count": 115, "metadata": {}, "outputs": [ { "data": { "image/png": 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rr6pajAUpiayvB0Uhnm2yefyD8FuddjxfUZR2iqJkKYrSUVGUCYqivKgoyovq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HlUgIIfr1E+LCC12yV18VYtIkzRhPOEGIIUPcP8vKhLj11CWyzmXLhBBCXHSREH37ap7t00eI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(0.98610699861814921-0.16611137009941693j)" ] }, "execution_count": 115, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Finally plot the results\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "n = np.arange(N)\n", "x = Dx*n\n", "v = np.zeros((N,)) #define and zero the array holding the potential\n", "psi = np.zeros((N,),dtype=np.complex_) #define and zero the array holding the complex wave function\n", "for n in range(1,N):\n", " v[n] = V(n*Dx)\n", " psi[n] = WKB(n*Dx) \n", "fig, (ax, bx) = plt.subplots(nrows=2, figsize=(10, 8))\n", "ax.plot(x,psi.real,'r-',x,psi.imag,'b--') # determine what is shown in ax. Choose the first \n", " # curve red solid and the second blue dashed.\n", "bx.plot(x,v,'r-') # determine what is shown in bx. Choose the first red solid.\n", "ax.set(ylabel='psi.real(x) and psi.imag', # add a tile and axis labels.\n", " title='WKB Solution')\n", "ax.grid(which='major') #superimpose a grid\n", "bx.set(xlabel='position (x)', ylabel='V(x)', # add a tile and axis labels.\n", " title='Potential') \n", "bx.grid(which='major') #superimpose a grid\n", "plt.show() # Plot the figure here." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }