{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The Quantum Mechanical Finite Square Well: Bound State solutions\n", "## Width = $a$, depth = $V_0$\n", "Paul Nakroshis
\n", "Dept. of Physics, University of Southern Maine
\n", "pauln at maine dot edu
\n", "12 Feb 2019" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import signal\n", "from pylab import rcParams\n", "rcParams['figure.figsize'] = 10,8\n", "from scipy.signal import argrelextrema as findpeaks\n", "import seaborn as sns # makes pretty plots\n", "%matplotlib inline\n", "#sns.set_style(\"darkgrid\", {\"grid.linewidth\": .5, \"axes.facecolor\": \".9\"})\n", "#sns.set_context(\"notebook\", font_scale=1.5, rc={\"lines.linewidth\": 2.5})\n", "#sns.set_context(\"paper\")\n", "#sns.set_context(\"talk\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, I look at the bound state solutions to the energy eigenvalues for a finite square well with width $a$ and depth $V_0$ as shown in the figure below: \n", "To find the solutions, we write down Schrodinger's equation\n", "$$ - \\frac{\\hbar^2}{2m}\\frac{d^2\\psi}{dx^2} + V(x)\\phi = E\\psi$$\n", "for the regions $x<0$, $0a$, and impose continuity of $\\phi$ and its derivative at $x=0$ and $x=a$. When one works through this process (see any introductory quantum text) ones finds that allowed bound state soltutions satisfy the transcendental equation which I write as
\n", "$$ \\pm(2\\epsilon -1)\\tan\\left(\\sqrt{\\frac{2 m c^2 a^2 V_0}{(\\hbar c)^2}} \\sqrt{\\epsilon}\\right) = 2\\sqrt{\\epsilon(1-\\epsilon)}\\;\\;\\;\\;\\;\\;\\;\\;(eq.1)$$\n", "\n", "where $\\epsilon = E/V_0$ is the dimensionless energy which we want to find, and the positive sign corresponds to symmetric solutions and the negative to antisymmetric solutions (with respect to the center of the well).\n", "The standard way to find the allowed energy levels is to find the solutions to eq. 1 above by plotting the left side and the right side of the equations, and look for intersections; to do so, I'll define the left (symmetric and antisymmetric cases determined by a boolean; True = symmetric) and right sides here, and define the well as containing (by default) an electron and with a default width as 2 Bohr radii:\n", "\n", "To solve this for a specific case, we define a function for each side of the equation" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def leftSide(ϵ, S = True, V = 50, a=2*0.052917721092, mc2=0.510998928e6):\n", " \"\"\"\n", " DESCRIPTION: \n", " Calculates the left hand side of equation 1 above;\n", " note that the argument of the tangent function contains\n", " all the relevant features of the well. This function defaults\n", " to \n", " symmetry : S = True for symmetric solutions; S = False for antisymmetric\n", " depth : V = 50 eV\n", " width : a = 2*0.0529177 nm = 2 Bohr radii\n", " particle rest energy: mc2 = 0.51099e+6 eV = electron rest energy\n", " \n", " USAGE: This means, of course, that the user may call this function by\n", " \n", " leftSide(ϵ) # will use default well params\n", " \n", " or\n", " \n", " leftSide(ϵ, False, 20,0.20.5109989) # will find Anti-symmetric soltions for \n", " # V=20 eV, and a = 0.2 nm, and default mass energy\n", "\n", " \"\"\"\n", " #define needed constants for the well:\n", " c = 299792458.0 # in m/s\n", " hbar_c = 197.3269718 # in eV-nm\n", " \n", " #now calculate the left hand side:\n", " value = np.sqrt(2*mc2*V*a**2)/hbar_c\n", " return (-1)**(S+1)*(2.*ϵ - 1.0)*np.tan(value*np.sqrt(ϵ))\n", " \n", "\n", "def rightSide(ϵ):\n", " #\n", " #calculates the right hand side of equation 1 above\n", " #\n", " return 2*np.sqrt(ϵ *(1.0-ϵ))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Standard Solution method: find intersection of curves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, note that equation 1 is likely different than seen in standard texts in that I have placed the term $(2\\epsilon -1)$ on the left hand side---whereas in many texts you'll see that term in the denominator of the right hand side. I've done so, because this term makes the right hand side pathalogical when $\\epsilon\\rightarrow\\frac{1}{2}$, so by placing it on the left hand side, this issue is avoided. \n", "\n", "The standard method for solving this is to plot both sides of equation 1 and look for the intersection points.\n", "In the next cell, I enter the parameters that describe the well, as well as an array of $N$ $\\epsilon$ values evenly spaced from 0 to N. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "N = 4000\n", "V = 80.0 # set well depth in eV\n", "#a = 2*0.0529177 # set well width in nm\n", "a = 0.4\n", "mc2 = 0.510998928e6 # set particle rest energy in eV\n", "\n", "ϵ = np.linspace(0,1.0,N) # create array of ϵ values to search" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## these lines set up plot style and limits\n", "## I use the seaborn package 'cause it looks nice\n", "sns.set_context(\"talk\")\n", "plt.figure(figsize=(12, 6))\n", "sns.set_style(\"darkgrid\", {\"grid.linewidth\": .6, \"axes.facecolor\": \".9\",\\\n", " \"font.family\": 'serif',\"font.serif\": \"Times\"})\n", "##\n", "## here's the actual plotting command for each side of eq. 1:\n", "##\n", "## First symmetric soltions:\n", "plt.plot(ϵ, leftSide(ϵ, True, V, a, mc2),'r.', markersize=4,\\\n", " label=r'$(2\\epsilon - 1)\\tan\\left(\\sqrt{\\frac{2mc^2V_0 a^2}{(\\hbar c)^2}}\\sqrt{\\epsilon}\\right)\\;$ (symmetric)')\n", "## Then anti-symmetric solutions:\n", "plt.plot(ϵ, leftSide(ϵ, False, V, a, mc2),'g.', markersize=4,\\\n", " label=r'$-(2\\epsilon - 1)\\tan\\left(\\sqrt{\\frac{2mc^2V_0 a^2}{(\\hbar c)^2}}\\sqrt{\\epsilon}\\right)\\;$ (anti-symmetric)')\n", "\n", "\n", "plt.plot(ϵ ,rightSide(ϵ), label=r'$2\\sqrt{\\epsilon(1-\\epsilon)}$')\n", "##\n", "## these lines set up plot limits\n", "plt.ylim(0,1.1)\n", "plt.xlabel(r'$\\epsilon = \\frac{E}{V_0}$', fontsize=28)\n", "plt.legend(bbox_to_anchor=(0., 1.02, 1., .102), loc=3,\n", " ncol=2, mode=\"expand\", borderaxespad=0.,\\\n", " handlelength=4, frameon=True,fontsize=16, numpoints=4)\n", "##\n", "## finally, put the well & particle properties on the plot so it is \n", "## well documented.\n", "plt.text(1.1,1.06, \"Well depth:\" ,fontsize=14, bbox=dict(facecolor='blue', alpha=0.10))\n", "plt.text(1.1,0.98, \"%4.3f eV\" % V ,fontsize=12)\n", "plt.text(1.1,0.90, \"Well width:\" ,fontsize=14, bbox=dict(facecolor='blue', alpha=0.10))\n", "plt.text(1.1,0.82, \"%4.3f nm\" % a ,fontsize=12)\n", "plt.text(1.1,0.70, \"Particle Rest \\nEnergy:\" ,fontsize=14, bbox=dict(facecolor='blue', alpha=0.10))\n", "plt.text(1.1,0.62, \"%4.3f eV\" % mc2 ,fontsize=12)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot above nicely shows the solutions; the values of $\\epsilon$ that correspond to the intersection points\n", "gives the energy solutions. The problem with this is that we have to graphically find these points, or resort to numerical root finding. Instead, I'll find the solutions by plotting the reciprical of the difference between the two sides; i.e. I will plot the function 'peaks' defined as:\n", "$$ \\mathrm{peaks} = \\left|\\pm \\, (2\\epsilon -1)\\tan\\left(\\sqrt{\\frac{2 m c^2 a^2 V_0}{(\\hbar c)^2}} \\sqrt{\\epsilon}\\right) - 2\\sqrt{\\epsilon(1-\\epsilon)} + \\delta\\, \\right|^{\\,-1}\\;\\;\\;(eq.2)$$\n", "where $\\delta$ is a small constant to prevent the function from becoming pathological when the left and right sides of\n", "eq. 1 are equal. \n", "\n", "After this, I'll use the scipy scipy.signal routine argrelextrema (which I imported at the top of this notebook as findpeaks). This routine finds the index value that corresponds to the maxima of eq. 2." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1000\n", "Symmetrical Solutions: [ 1.92 7.68 17.12 30.16 46.56 65.52 70.08]\n", "Asymmetrical Solutions: [ 3.04 11.92 27.12 49.2 ]\n", "Symmetric Energy(ϵ=0.024) = 1.920 eV\n", "Symmetric Energy(ϵ=0.095) = 7.600 eV\n", "Symmetric Energy(ϵ=0.213) = 17.040 eV\n", "Symmetric Energy(ϵ=0.376) = 30.080 eV\n", "Symmetric Energy(ϵ=0.581) = 46.480 eV\n", "Symmetric Energy(ϵ=0.819) = 65.520 eV\n", "AntiSymmetric Energy(ϵ=0.037) = 2.960 eV\n", "AntiSymmetric Energy(ϵ=0.149) = 11.920 eV\n", "AntiSymmetric Energy(ϵ=0.339) = 27.120 eV\n", "AntiSymmetric Energy(ϵ=0.484) = 38.720 eV\n", "AntiSymmetric Energy(ϵ=0.615) = 49.200 eV\n", "AntiSymmetric Energy(ϵ=0.993) = 79.440 eV\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#N = 5000\n", "V = 80 # set well depth in eV\n", "#a = 2*0.0529177 # set well width in nm\n", "a = 0.4\n", "mc2 = 0.510998928e6 # set particle rest energy in eV\n", "ymax = 20 # this is an arbitrary cutoff for the vertical axis of the plot.\n", " # if you change it, it will mess up the formatting of the \n", " # text strings added to the plot. Don't mess with this unless you\n", " # want to deal with this consequence.\n", "δ = 1.0e-4 # this is the factor to keep the \"peaks\" functions from blowing up.\n", "δϵ = 1.0e-3\n", "#ϵ = np.linspace(0,1.0,N) # create array of ϵ values to search\n", "ϵ = np.arange(0,1.0,δϵ)\n", "N = len(ϵ)\n", "print(N)\n", "#sns.set_context(\"paper\")\n", "sns.set_context(\"notebook\")\n", "plt.figure(figsize=(12, 6))\n", "sns.set(context='notebook', style='darkgrid', palette='deep', font='serif',\\\n", " font_scale=1.5, rc={\"lines.linewidth\": 2.5})\n", "###\n", "#\n", "#\n", "peaks_S = 1/abs(leftSide(ϵ,True,V,a,mc2)-rightSide(ϵ )+ δ) # this takes 1/Δ(lhs-rhs + δ)\n", "peaks_A = 1/abs(leftSide(ϵ,False,V,a,mc2)-rightSide(ϵ)+ δ) # this takes 1/Δ(lhs-rhs + δ)\n", "\n", "\n", "plt.plot(V*ϵ , peaks_S,'r', linewidth=0.75 )\n", "plt.plot(V*ϵ , peaks_A,'g', linewidth=0.75 )\n", "\n", "\n", "plt.ylim(0,ymax)\n", "plt.xlim(0,V)\n", "plt.xlabel(r'$\\mathrm{Energy\\;(eV)}$', fontsize=24)\n", "plt.ylabel(r'$\\frac{1}{\\Delta} = \\frac{1}{\\left| lhs-rhs+\\delta\\right|}$', fontsize=24)\n", "\n", "\n", "plt.title('Peaks correspond to allowed energies ')\n", "# for local maxima (uses scipy: from scipy.signal import argrelextrema as findpeaks)\n", "#\n", "indices_S = findpeaks(peaks_S, np.greater)\n", "indices_A = findpeaks(peaks_A, np.greater)\n", "#\n", "#\n", "# find peaks with scipy peak finder\n", "#\n", "peak_ind = signal.find_peaks_cwt(peaks_S, np.arange(1,8),min_snr=2)\n", "peak_ind = peak_ind[1:-1]\n", "print(\"Symmetrical Solutions: \", V*ϵ[peak_ind])\n", "\n", "peak_ind = signal.find_peaks_cwt(peaks_A, np.arange(1,10),min_snr=2)\n", "peak_ind = peak_ind[1:-1]\n", "print(\"Asymmetrical Solutions: \", V*ϵ[peak_ind])\n", "#\n", "energies=np.empty(1) # create an empty numpy array for the energy solutions.\n", "### the scipy peak finder returns an array of peak index values, but also a second element\n", "### (This is why I interate over indices[0] here:)\n", "\n", "for i in indices_S[0]:\n", " energies = np.append(energies,V*ϵ[i])\n", " print('Symmetric Energy(ϵ=%4.3f) = %4.3f eV' % (float(i/N), V*float(ϵ[i])))\n", "for i in indices_A[0]:\n", " energies = np.append(energies,V*ϵ[i])\n", " print('AntiSymmetric Energy(ϵ=%4.3f) = %4.3f eV' % (float(i/N), V*float(ϵ[i])))\n", "\n", "\n", "np.set_printoptions(formatter={'float': '{: 0.3f}'.format})\n", "energies = energies[1:]\n", "energiesSorted = np.sort(energies, axis=None)\n", "\n", "\n", "plt.text(V+2,0.95*ymax, \"Well depth:\" ,fontsize=16, bbox=dict(facecolor='green', alpha=0.10))\n", "plt.text(V+2,0.89*ymax, \"%4.3f eV\" % V ,fontsize=14)\n", "plt.text(V+2,0.80*ymax, \"Well width:\" ,fontsize=16, bbox=dict(facecolor='green', alpha=0.10))\n", "plt.text(V+2,0.74*ymax, \"%4.3f nm\" % a ,fontsize=14)\n", "plt.text(V+2,0.60*ymax, \"Particle Rest \\nEnergy:\" ,fontsize=16, bbox=dict(facecolor='green', alpha=0.10))\n", "plt.text(V+2,0.54*ymax, \"%4.3f eV\" % mc2 ,fontsize=14)\n", "### Next part prints out (at most) the first 7 energy eigenvalues to the plot. \n", "plt.text(V+2,0.45*ymax, \"Energy Eigenvalues\" ,fontsize=16, bbox=dict(facecolor='green', alpha=0.10))\n", "for i in range(len(energiesSorted)):\n", " if i<7:\n", " plt.text(V+2,(0.39 - 0.0625*i)*ymax, \"%4.3f eV\" % energiesSorted[i] ,fontsize=14)\n", " \n", "\n", "plt.savefig('EnergyLevels80eVWell.png',dpi = 150)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There you go! A relatively straightforward code to compute the allowed symmetric and antisymmetric bound state energies for a finite potential well.
\n", "\n", "Please let me know if you find any errors in this code and/or find it useful. \n", "pauln at maine dot edu\n" ] } ], "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 1 }