{ "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": 1, "metadata": { "collapsed": true }, "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": 2, "metadata": { "collapsed": true }, "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": 3, "metadata": { "collapsed": true }, "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": 4, "metadata": { "collapsed": true }, "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 modest value for the allowed absolute error, epsabs,\n", " # to avoid warnings.\n", " return Psi" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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JsHFDksmTlU9vGmwCt2ajGrPW/cHW3um/7cLy5Q6C1tZeQWQzo0ZZXCoVtotU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Xhk04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\nhf2bN2OlOFd99u9H2f79KC6ehZEjG2HHj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w89ZAUi5Qfu5puDeWFDx5BIoGtX8gjTRtGW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Gxrl88MEA29mAcyqr6GtIOwcuvljLo+ubww/frOVmnnPfiZOFy0/ntFvfO3ntNXi57AIwpVPK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "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 }