{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Hydrogen wavefunction via numerov and from sympy" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from typing import Any\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from ryd_numerov.rydberg import RydbergState" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "state = RydbergState(\"H_textbook\", n=10, l=5, j=5 + 0.5)\n", "state.create_model_potential()\n", "state.create_grid(dz=1e-2)\n", "state.create_wavefunction() # do the numerov integration\n", "grid, wavefunction = state.grid, state.wavefunction" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from sympy.abc import r as sympy_r\n", "from sympy.physics import hydrogen as sympy_hydrogen\n", "from sympy.utilities.lambdify import lambdify\n", "\n", "\n", "def calc_r_list(n: int, l: int, x_list: np.typing.NDArray[Any]) -> np.typing.NDArray[Any]:\n", " if n <= 35 or False:\n", " r_nl = lambdify(sympy_r, sympy_hydrogen.R_nl(state.n, state.l, sympy_r, Z=1))\n", " r_list = r_nl(x_list)\n", " else: # some weird sympy bug if trying to use lambdify R_nl for n > 35\n", " r_list = np.zeros_like(x_list)\n", " for i, x in enumerate(x_list):\n", " r_list[i] = sympy_hydrogen.R_nl(n, l, x, Z=1)\n", " return r_list\n", "\n", "\n", "sympy_r_list = calc_r_list(state.n, state.l, grid.x_list)\n", "sympy_u_list = sympy_r_list * grid.x_list\n", "sympy_w_list = sympy_u_list / np.sqrt(grid.z_list)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 3, figsize=(12, 5))\n", "\n", "axs[0].plot(grid.z_list, wavefunction.w_list, \"C0-\", label=\"Numerov\")\n", "axs[0].plot(grid.z_list, sympy_w_list, \"C1--\", lw=0.75, label=\"Sympy\")\n", "axs[0].set_xlabel(r\"$z$\")\n", "axs[0].set_ylabel(r\"$w(z)$\")\n", "axs[0].legend()\n", "\n", "axs[1].plot(grid.x_list, wavefunction.u_list, \"C0-\", label=\"Numerov\")\n", "axs[1].plot(grid.x_list, sympy_u_list, \"C1--\", lw=0.75, label=\"Sympy\")\n", "axs[1].set_xlabel(r\"$r / a_0$\")\n", "axs[1].set_ylabel(r\"$u(r) = r R(r)$\")\n", "axs[1].legend()\n", "\n", "axs[2].plot(grid.x_list, wavefunction.r_list, \"C0-\", label=\"Numerov\")\n", "axs[2].plot(grid.x_list, sympy_r_list, \"C1--\", lw=0.75, label=\"Sympy\")\n", "axs[2].set_xlabel(r\"$r / a_0$\")\n", "axs[2].set_ylabel(r\"$R(r)$\")\n", "axs[2].legend()\n", "\n", "fig.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.13.1" } }, "nbformat": 4, "nbformat_minor": 2 }