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@dceresoli
Last active December 19, 2019 08:43
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{
"cells": [
{
"cell_type": "code",
"source": [
"!pip install numpy\n",
"import numpy as np\n",
"import numpy.linalg as la\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
],
"outputs": [],
"execution_count": 1,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "code",
"source": [
"def diago1d(x, vpot, order=4):\n",
" # FD coefficients\n",
" coeffs = [ [],\n",
" [-2.0, 1.0],\n",
" [-5.0/2.0, 4.0/3.0, -1.0/12.0],\n",
" [-49.0/18.0, 3.0/2.0, -3.0/20.0, 1.0/90.0],\n",
" [-205.0/72.0, 8.0/5.0, -1.0/5.0, 8.0/315.0, -1.0/560.0],\n",
" ]\n",
"\n",
" # Hamiltonian\n",
" n = len(x)\n",
" dx = x[1] - x[0]\n",
" dx2 = dx*dx\n",
" \n",
" H = np.zeros((n,n))\n",
" for i in range(n):\n",
" H[i,i] = vpot[i]\n",
" for j in range(-order,order+1):\n",
" if (i + j >= 0 and i + j < n):\n",
" H[i,i+j] += -0.5*coeffs[order][abs(j)]/dx2\n",
"\n",
" # diagonalize\n",
" return la.eigh(H)"
],
"outputs": [],
"execution_count": 103,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "code",
"source": [
"# interval and number of points\n",
"L = 2.5\n",
"n = 201\n",
"x = np.linspace(-L, L, n)"
],
"outputs": [],
"execution_count": 104,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "code",
"source": [
"# k's of the oscillator\n",
"k2, k4, k6, k8 = 1.0, 2.6, -36, 86 # [100] dir.\n",
"#k2, k4, k6, k8 = 1.0, 17, -15, -41 # [110] dir.\n",
"#k2, k4, k6, k8 = 1.0, 22, 128, 472 # [111] dir.\n",
"\n",
"x2 = x*x\n",
"x4 = x2*x2\n",
"#vpot = 0.5*(k2*x2 + k4*x4 + k6*x2*x2*x2 + k8*x4*x4)\n",
"vpot = 0.5*(k2*x2 + k4*x4)"
],
"outputs": [],
"execution_count": 118,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "code",
"source": [
"eigs, eigv = diago1d(x, vpot)\n",
"fig = plt.figure(dpi=150)\n",
"plt.plot(x, vpot, color='black', linewidth=1.5)\n",
"plt.plot(x, 0.5*k2*x2, color='black', linestyle='dashed')\n",
"\n",
"emax = 10.0\n",
"for i in range(len(x)):\n",
" if eigs[i] > emax:\n",
" break\n",
" plt.axhline(y=eigs[i], linewidth=0.5, color='black')\n",
" rho = eigv[:,i]**2\n",
" #plt.plot(x, eigs[i]+4.0*rho, label='%.2f' % (eigs[i]))\n",
" plt.plot(x, eigs[i]+4*eigv[:,i], label='%.2f' % (eigs[i]))\n",
" xsq = np.sum(x2*eigv[:,i]*eigv[:,i])\n",
" print(i, xsq, i+0.5)\n",
" \n",
"plt.legend()\n",
"plt.ylim(0,emax+1)\n",
"plt.show()"
],
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"0 0.23957608335896374 0.5\n",
"1 0.6146039806977729 1.5\n",
"2 0.8700664279819361 2.5\n",
"3 1.0974642178449627 3.5\n"
]
},
{
"output_type": "display_data",
"data": {
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\n"
],
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
],
"execution_count": 120,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "code",
"source": [],
"outputs": [],
"execution_count": 102,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
},
{
"cell_type": "code",
"source": [],
"outputs": [],
"execution_count": null,
"metadata": {
"collapsed": false,
"outputHidden": false,
"inputHidden": false
}
}
],
"metadata": {
"kernel_info": {
"name": "python3"
},
"language_info": {
"pygments_lexer": "ipython3",
"mimetype": "text/x-python",
"name": "python",
"file_extension": ".py",
"version": "3.5.3",
"nbconvert_exporter": "python",
"codemirror_mode": {
"version": 3,
"name": "ipython"
}
},
"kernelspec": {
"name": "python3",
"language": "python",
"display_name": "Python 3"
},
"nteract": {
"version": "0.15.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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