{ "cells": [ { "cell_type": "markdown", "id": "8859d627", "metadata": {}, "source": [ "# Comparison: Numerov - Whittaker\n", "This notebook compares the Numerov method (with and without model potentials) to the Whittaker method for calculating Rydberg wavefunctions and matrix elements." ] }, { "cell_type": "code", "execution_count": 1, "id": "2cdbdd1b", "metadata": {}, "outputs": [], "source": [ "import logging\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from ryd_numerov import RydbergState\n", "\n", "logging.basicConfig(level=logging.INFO, format=\"%(levelname)s %(filename)s: %(message)s\")" ] }, { "cell_type": "markdown", "id": "56558508", "metadata": {}, "source": [ "## Wavefunction" ] }, { "cell_type": "code", "execution_count": 2, "id": "97528603", "metadata": {}, "outputs": [], "source": [ "states: dict[str, RydbergState] = {}" ] }, { "cell_type": "code", "execution_count": 3, "id": "983266d8", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING wavefunction.py: The wavefunction for the state |Rb:21,S_0.5⟩ has some issues:\n", " The wavefunction is not close to zero at the inner boundary (inner_weight_scaled_to_whole_grid=1.24e-04)\n", " The wavefunction has 17.0 nodes, but should have 20 nodes.\n", " The integration for l=0 did stop at 0.14 (should be close to zero).\n" ] } ], "source": [ "state = RydbergState(\"Rb\", n=21, l=0, j_tot=0.5)\n", "\n", "state.create_model(potential_type=\"model_potential_marinescu_1993\")\n", "state.create_wavefunction(\"numerov\")\n", "states[\"Numerov with Model Potentials\"] = state\n", "\n", "# Using Numerov without model potentials will lead to some warnings,\n", "# since the resulting wavefunction does not pass all heuristic checks\n", "state_without_mp = RydbergState(state.species, state.n, state.l, state.j_tot)\n", "state_without_mp.create_model(potential_type=\"coulomb\")\n", "state_without_mp.create_wavefunction(\"numerov\")\n", "states[\"Numerov without Model Potentials\"] = state_without_mp" ] }, { "cell_type": "code", "execution_count": 4, "id": "31441087", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING wavefunction.py: Using Whittaker to get the wavefunction is not recommended! Use this only for comparison.\n" ] } ], "source": [ "state_whittaker = RydbergState(state.species, state.n, state.l, state.j_tot)\n", "state_whittaker.create_grid(x_min=state.grid.x_min, x_max=state.grid.x_max)\n", "state_whittaker.create_wavefunction(\"whittaker\")\n", "states[\"Whittaker\"] = state_whittaker" ] }, { "cell_type": "code", "execution_count": 5, "id": "3f9cc4fe", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.set_title(str(state))\n", "\n", "styles = [\"-\", \"--\", \":\"]\n", "for i, (label, _state) in enumerate(states.items()):\n", " ax.plot(_state.grid.z_list, _state.wavefunction.w_list, ls=styles[i], label=label)\n", "ax.legend()\n", "\n", "ax.set_xlabel(\"z\")\n", "ax.set_ylabel(\"w(z)\")\n", "\n", "ax.set_ylim(1.1 * np.min(state.wavefunction.w_list), 1.1 * np.max(state.wavefunction.w_list))\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e05ac269", "metadata": {}, "source": [ "## Radial matrix elements" ] }, { "cell_type": "code", "execution_count": 6, "id": "128a71d8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Numerov with model potentials: 43.64042739463778 bohr\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING wavefunction.py: The wavefunction for the state |Rb:10,S_0.5⟩ has some issues:\n", " The wavefunction has 6.0 nodes, but should have 9 nodes.\n", " The integration for l=0 did stop at 0.14 (should be close to zero).\n", "WARNING wavefunction.py: The wavefunction for the state |Rb:9,P_1.5⟩ has some issues:\n", " The wavefunction is not close to zero at the inner boundary (inner_weight_scaled_to_whole_grid=4.07e-02)\n", " The wavefunction has 5.0 nodes, but should have 7 nodes.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Numerov without model potentials: 43.60588874251313 bohr\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING wavefunction.py: Using Whittaker to get the wavefunction is not recommended! Use this only for comparison.\n", "WARNING wavefunction.py: Using Whittaker to get the wavefunction is not recommended! Use this only for comparison.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Whittaker: 43.56096202068911 bohr\n" ] } ], "source": [ "state1 = RydbergState(\"Rb\", n=10, l=0, j_tot=0.5)\n", "state2 = RydbergState(\"Rb\", n=9, l=1, j_tot=1.5)\n", "\n", "dipole_me = state1.calc_radial_matrix_element(state2, 1)\n", "print(f\"Numerov with model potentials: {dipole_me}\", flush=True)\n", "\n", "_state1 = RydbergState(state1.species, state1.n, state1.l, state1.j_tot)\n", "_state1.create_model(potential_type=\"coulomb\")\n", "_state2 = RydbergState(state2.species, state2.n, state2.l, state2.j_tot)\n", "_state2.create_model(potential_type=\"coulomb\")\n", "\n", "dipole_me = _state1.calc_radial_matrix_element(_state2, 1)\n", "print(f\"Numerov without model potentials: {dipole_me}\", flush=True)\n", "\n", "# For Whittaker we use the same integration bounds as Numerov without model potentials,\n", "# to avoid integrating over the diverging peak at the origin (see plots above)\n", "xmin1, xmax1 = _state1.grid.x_min, _state1.grid.x_max\n", "xmin2, xmax2 = _state2.grid.x_min, _state2.grid.x_max\n", "_state1 = RydbergState(state1.species, state1.n, state1.l, state1.j_tot)\n", "_state1.create_grid(x_min=xmin1, x_max=xmax1)\n", "_state1.create_wavefunction(\"whittaker\")\n", "_state2 = RydbergState(state2.species, state2.n, state2.l, state2.j_tot)\n", "_state2.create_grid(x_min=xmin2, x_max=xmax2)\n", "_state2.create_wavefunction(\"whittaker\")\n", "\n", "dipole_me = _state1.calc_radial_matrix_element(_state2, 1)\n", "print(f\"Whittaker: {dipole_me}\", flush=True)" ] } ], "metadata": { "kernelspec": { "display_name": "ryd-numerov", "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": 5 }