{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"source": [
"\n",
"\n",
"\n",
"# Numerical Determination of Eigenenergies for Harmonic Oscillator \n",
"\n",
"### Examples – Quantum Mechanics \n",
"\n",
"By Henning G. Hugdal, Øystein Hiåsen and Peter Berg \n",
"\n",
"Last edited: April 20th 2016\n",
"\n",
"___\n",
"\n",
"The objective of this module is to use the method of forward shooting to determine numerically the eigenenergies of the quantum harmonic oscillator in one dimension. In other words, we are looking for eigenvalues of the time-independent Schrödinger equation\n",
"\n",
"$$\n",
"\\qquad\\left[-\\frac{\\hbar^2}{2m}\\frac{\\rm{d}^2}{\\rm{d} x^2}+V(x)\\right] \\psi(x) = E \\psi(x)\n",
"$$\n",
"\n",
"with\n",
"\n",
"$$\n",
"\\qquad V=\\frac{1}{2}m \\omega^2 x^2.\n",
"$$\n",
"\n",
"We will focus mainly on the three lowest eigenenergies. This will demonstrate how \"an eigenvalue has just the right value\" to solve the time-independent Schrödinger equation. Moreover, this example shows that the forward-shooting method also works for potentials $V(x)$ for which we do not have closed-form solutions. \n",
"\n",
"First, we write the Schrödinger equation in the \n",
"following form\n",
"\n",
"$$\n",
"\\qquad\\psi''(x) = -\\frac{2m}{\\hbar^2}\\left[E-\\frac{1}{2}m \\omega^2 x^2 \\right]\\psi(x),\n",
"$$\n",
"\n",
"and for simplicity, we set the values $m=\\omega=\\hbar=1$ which yields the equation\n",
"\n",
"$$\n",
"\\qquad\\psi''(x) = \\left[ x^2-2E\\right] \\psi(x).\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Forward Shooting\n",
"\n",
"We will now compute the eigenenergies of this problem by using the forward shooting method, knowing that the wave function must tend to zero as $x\\to\\infty$. First, we divide the interval we are interested in, $[a,b]$, into $n$ equal intervals with length\n",
"\n",
"$$\n",
"\\qquad \\Delta x = \\frac{b-a}{n}\n",
"$$\n",
"\n",
"which defines the coordinates $x_i = a + i\\Delta x$. Hence, it is natural to write the function values of $\\psi(x)$, $\\psi(x)'$ and $\\psi(x)''$ at a point $x = x_i$ as $\\psi_i$, $\\psi'_i$ and $\\psi''_i$, respectively.\n",
"\n",
"Next, we approximate $\\psi''(x)$ at a point $x_i$ by using the second-order central difference method which yields\n",
"\n",
"$$\n",
"\\qquad \\psi_i'' = \\frac{\\psi_{i+1}+\\psi_{i-1} - 2\\psi_{i}}{(\\Delta x)^2}.\n",
"$$\n",
"\n",
"Using the simplified Schrödinger equation,\n",
"\n",
"$$\n",
"\\qquad \\psi_i'' = \\left[x_i^2-2E\\right]\\psi_i,\n",
"$$\n",
"\n",
"we obtain\n",
"\n",
"$$\n",
"\\qquad \\frac{\\psi_{i+1}+\\psi_{i-1} - 2\\psi_{i}}{(\\Delta x)^2} = \\left[x_i^2-2E\\right]\\psi_i.\n",
"$$\n",
"\n",
"By rearranging the previous equation, we find an equation for the function value $\\psi_{i+1}$ based on the values of the previous two points\n",
"\n",
"$$\n",
"\\qquad \\psi_{i+1} = -\\psi_{i-1} + \\left[2 + (\\Delta x)^2 \\left(x_i^2-2E\\right)\\right] \\psi_i.\n",
"$$\n",
"\n",
"By using this formula, we can calculate iteratively all function values as long as we have two initial values to start with. In this problem, we consider a potential which is symmetric about $x=0$. Therefore, the initial values $\\psi_0$ and $\\psi_0'$ will be given at $x=0$ and we approximate the next function value $\\psi_1$ simply by\n",
"\n",
"$$\n",
"\\qquad \\psi_1 = \\psi_0 + \\Delta x \\cdot \\psi_0'.\n",
"$$\n",
"\n",
"This then allows us to calculate $\\psi_i$ for higher values of $i$ using the formula above.\n",
"\n",
"We know that for a symmetric potential, the ground state, second excited state, fourth excited state etc. are symmetric, while the first excited state, third excited state etc. are anti-symmetric. Since the harmonic oscillator potential is symmetric about $x=0$, it allows us to use the method in only one direction, focusing on $x>0$ and starting with the initial values at $x = 0$, namely $\\psi_0$ and $\\psi_0'$. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Ground State\n",
"\n",
"Since the ground state should be symmetric about $x=0$, we have to have $\\psi_0' = 0$. We also have to choose a value for $\\psi_0$, e.g. $\\psi_0=1$. The particular choice of the value of $\\psi_0$ will not affect the energy eigenvalue because its actual value will be determined by normalization of the wave function. Using these two initial values, we can now compute the ground state energy as follows. First, we choose an upper and a lower bound for the estimated ground state energy. This is where uncertainty arises since we do not know a priori where the eigenenergies lie. Subsequently, we keep shooting forward to $x_i=b$, starting at $x_0=0$, with an estimated eigenenergy E0 that is determined iteratively by the bisection method: if the value of the wave function grows to infinity as $x\\to\\infty$, we need to raise the value of E0; if the value of the wave function goes to negative infinity, we need to lower E0. We truncate the bisection method when a desired accuracy acc is achieved and plot the analytical solution versus the numerical solution of the wave function. The agreement is quite impressive."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Set common figure parameters:\n",
"newparams = {'axes.labelsize': 14, 'axes.linewidth': 1, 'savefig.dpi': 300, \n",
" 'lines.linewidth': 1.0, 'figure.figsize': (8, 3),\n",
" 'figure.subplot.wspace': 0.4,\n",
" 'ytick.labelsize': 10, 'xtick.labelsize': 10,\n",
" 'ytick.major.pad': 5, 'xtick.major.pad': 5,\n",
" 'legend.fontsize': 10, 'legend.frameon': False, \n",
" 'legend.handlelength': 1.5}\n",
"plt.rcParams.update(newparams)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The energy E0 is: 0.500332214879553\n"
]
},
{
"data": {
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vtcm3VJbAf7v7NTWXr6tobuG7B1yGOo5299MqLjODGNWVd5G7H1xmYXe/hQgB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\noa3yDLAWmQ8XSiRJkiQV1aT10L5tnpgpIkYDOwILZeYFpfOMVIWbJzYE/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2Qbnt70VN5e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\nFhFfjojfioi5PXWMiBMj4iPAEuCsis2fyswlQ4hPkiR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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n = 1000.0 # number of points per unit on the x-axis.\n",
"p = 10.0 # the number of points included on the x-axis\n",
"dx = 1.0/n # step length\n",
"\n",
"f0= np.zeros(p*n) # array for function values of f0\n",
"f0[0] = 1.0 # initial value for f0 at x = 0\n",
"df0_0 = 0.0 # initial value for df0/dx at x = 0\n",
"\n",
"x = np.linspace(0,p,p*n,True)\n",
"\n",
"acc = 1e-15 # Accuracy of eigenenergy\n",
"e1 = 0.0 # Lower bound, must be positive since the potential is positive for all x\n",
"e2 = 4.0 # Upper bound\n",
"E0 = e1\n",
"deltaE0 = 1\n",
"while deltaE0 > acc:\n",
" for i, x_ in enumerate(x[0:-1]):\n",
" if i == 0:\n",
" f0[i+1] = f0[i]+dx*df0_0\n",
" else:\n",
" f0[i+1] = -f0[i-1]+f0[i]*(2-dx**2*(2*E0-x_**2))\n",
" # Implementation of bisection method. If the function value is out of bounds,\n",
" # a new value for the energy is chosen. When the difference between the upper \n",
" # and lower bound for the energy is smaller than the given accuracy,\n",
" # the while loop stops, yielding a result for E1.\n",
" if f0[i] > 5:\n",
" e1 = E0\n",
" E0 = e1 + (e2-e1)/2\n",
" break\n",
" elif f0[i] < -5:\n",
" e2 = E0\n",
" E0 = e2 - (e2-e1)/2\n",
" break\n",
" deltaE0 = e2-e1\n",
"print(r'The energy E0 is: %s'% E0)\n",
"\n",
"#Plot:\n",
"p1, = plt.plot(x, np.exp(-x**2/2), 'g:') # analytical eigenfunction\n",
"p2, = plt.plot(x, f0, 'b') # computed eigenfunction\n",
"p3, = plt.plot(x, 0.5*x**2, 'r') # potential\n",
"plt.plot(-x, np.exp(-x**2/2), 'g:', -x, f0, 'b', -x,0.5*x**2, 'r') # same as above for negative x-values\n",
"plt.legend([p1, p2, p3],['Analytical wavefunction', 'Calculated wavefunction', r'Potential $V(x)$'])\n",
"plt.xlabel(r'$x$')\n",
"plt.ylabel(r'$\\psi(x)$')\n",
"plt.ylim([-0.5, 3])\n",
"plt.xlim([-6, 6])\n",
"plt.title('Wavefunction for Ground State of Harmonic Oscillator');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### First Excited State\n",
"\n",
"For the first excited state, we have to choose different initial values. Since this is an anti-symmetric function, we must have $\\psi_0=0$, while $\\psi_0'$ can be chosen freely this time, e.g. $\\psi_0'=1$. Again, this is only a matter of normalization. Since we are looking for the first excited state, we know that $E_1>E_0$, which means we can choose $E_0$ as our lower bound. Choosing an appropriate upper bound can be the tricky part since it should be lower than the eigenenergy of the second excited state. In any event, the agreement between the numerical and the analytical solution is again impressive."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The energy E1 is: 1.5001498587221596\n"
]
},
{
"data": {
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eDyciM6/KzC9l5suArYGX0HycrQVMNMtLK3jiCOCl9A6eGHZankkGSHpvL0mS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\nnFlUagYu7MC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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f1 = np.zeros(p*n)\n",
"f1[0] = 0.0\n",
"df1_0 = 1.0\n",
"\n",
"e1 = E0\n",
"e2 = 2.0\n",
"E1 = e1\n",
"deltaE1 = 1\n",
"while deltaE1 > acc:\n",
" for i, x_ in enumerate(x[0:-1]):\n",
" if i == 0:\n",
" f1[i+1] = f1[i]+dx*df1_0\n",
" else:\n",
" f1[i+1] = -f1[i-1]+f1[i]*(2-dx**2*(2*E1-x_**2))\n",
" if f1[i] > 5:\n",
" e1 = E1\n",
" E1 = e1 + (e2-e1)/2\n",
" break\n",
" elif f1[i] < -5:\n",
" e2 = E1\n",
" E1 = e2 - (e2-e1)/2\n",
" break\n",
" deltaE1 = e2-e1\n",
"\n",
"print(r'The energy E1 is: %s' % E1)\n",
"\n",
"p1, = plt.plot(x, x*np.exp(-x**2/2), 'g:')\n",
"p2, = plt.plot(x, f1, 'b')\n",
"p3, = plt.plot(x, 0.5*x**2, 'r')\n",
"plt.plot(-x, -x*np.exp(-x**2/2), 'g:', -x, -f1, 'b', -x, 0.5*x**2, 'r') \n",
"plt.legend([p1, p2, p3],['Analytical wavefunction', 'Calculated wavefunction', r'Potential $V(x)$'])\n",
"plt.xlabel(r'$x$')\n",
"plt.ylabel(r'$\\psi(x)$')\n",
"plt.ylim([-1,1.5])\n",
"plt.xlim([-6,6])\n",
"plt.title('Wavefunction for First Excited State');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Second Excited State\n",
"\n",
"For the second excited state, we know that $E_2 > E_1$, and that the wavefunction is symmetric. Hence, we can use the same initial conditions as for the ground state. Again, choosing an appropriate upper limit is critical."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The energy E2 is: 2.5009550642267624\n"
]
},
{
"data": {
"image/png": 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R8ehBNo6Il9KddWPZaI6t44ANq6fe1Fz7tHk58LOq7ICIqDNYtDkG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i4TrYonplMUMrRrUK+NzPwtRUFH1cIUxT2r0lw8cUxm7sMovh4HKzMvBd5O664kCzPj34DlaL94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\nWoBdM7m7RCZJkiT1LH44KEmSJKlXyeQ5YEv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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f2 = np.zeros(p*n)\n",
"f2[0] = 1.0\n",
"df2_0 = 0.0\n",
"\n",
"e1 = E1\n",
"e2 = 3.0\n",
"E2 = e1\n",
"deltaE2 = 1\n",
"while deltaE2 > acc:\n",
" for i, x_ in enumerate(x[0:-1]):\n",
" if i == 0:\n",
" f2[i+1] = f2[i]+dx*df2_0\n",
" else:\n",
" f2[i+1] = -f2[i-1]+f2[i]*(2-dx**2*(2*E2-x_**2))\n",
" if f2[i] < -5:\n",
" e1 = E2\n",
" E2 = e1 + (e2-e1)/2\n",
" break\n",
" elif f2[i] > 5:\n",
" e2 = E2\n",
" E2 = e2 - (e2-e1)/2\n",
" break\n",
" deltaE2 = e2-e1\n",
" \n",
"# Notice that the two last conditions here are different from the two above! \n",
"# The reason is that the wavefunction now has roots for x ≠ 0, and approaches the x-axis from below.\n",
"\n",
"print(r'The energy E2 is: %s' % E2) \n",
"\n",
"p1, = plt.plot(x, -(2*x**2-1)*np.exp(-x**2/2), 'g:')\n",
"p2, = plt.plot(x, f2, 'b')\n",
"p3, = plt.plot(x, 0.5*x**2, 'r')\n",
"plt.plot(-x, -(2*x**2-1)*np.exp(-x**2/2), 'g:', -x, f2, 'b', -x,0.5*x**2, 'r')\n",
"plt.legend([p1, p2, p3],['Analytical wavefunction', 'Calculated wavefunction', r'Potential $V(x)$'])\n",
"plt.xlabel(r'$x$')\n",
"plt.ylabel(r'$\\psi(x)$')\n",
"plt.ylim([-1.5,2])\n",
"plt.xlim([-6,6])\n",
"plt.title('Wavefunction for Second Excited State');"
]
},
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"From the analytical solution of the harmonic oscillator potential, we know that the eigenenergies are\n",
"$$ \\qquad E_n^a = \\hbar \\omega (n + \\frac{1}{2}).$$\n",
"With $\\hbar = \\omega = 1$, we find $E_n^a = (n+1/2)$, which is in excellent agreement with the results obtained above! We also see from the plots of the eigenfunctions that they are in excellent agreement with the analytical eigenfunctions. This is all the more surprising since we used a simple numerical scheme. Consequently, the reasons why the results deviate slightly, are mostly due to numerical errors."
]
}
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