diff --git a/notebook/quantum-mechanics/2quantumwells.ipynb b/notebook/quantum-mechanics/2quantumwells.ipynb index 85607aa..70a25fb 100644 --- a/notebook/quantum-mechanics/2quantumwells.ipynb +++ b/notebook/quantum-mechanics/2quantumwells.ipynb @@ -114,7 +114,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -128,7 +128,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -231,9 +231,91 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "3bc2233c68b44820a3b9e0addd2c525a", + "version_major": 2, + "version_minor": 0 + }, + "image/png": "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", + "text/html": [ + "\n", + "
\n", + "
\n", + " Figure\n", + "
\n", + " \n", + "
\n", + " " + ], + "text/plain": [ + "Canvas(header_visible=False, layout=Layout(width='750px'), toolbar=Toolbar(toolitems=[('Home', 'Reset original…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "20165ea15f874ca2b1a7de3e73815d1c", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatSlider(value=0.5, description='Width (left): ', max=1.0, min=0.1, style=SliderStyle(descri…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "f9bbfc83f60c426585efbf1b6e6b3ec5", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatSlider(value=0.5, description='Width (right): ', max=1.0, min=0.1, style=SliderStyle(descr…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "f5d2ce7312b94ae09b4c07f3ce1e598c", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(FloatSlider(value=0.5, description='Gap distance: ', max=1.5, style=SliderStyle(description_wid…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "f6a9466c7d724063884010b9c1bc27ac", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(RadioButtons(description='Show:', options=('Wavefunction', 'Probability density'), value='Wavef…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "L = 1.5 # x range [-L,L]\n", "N = 200 # Number of grid points \n", @@ -274,8 +356,8 @@ " except:\n", " pass\n", " \n", - " ax[0].lines.clear()\n", - " ax[1].lines.clear()\n", + " ax[0].clear()\n", + " ax[1].clear()\n", " ew, ef, x, dx, V = diagonalization(hquer, L, N, \n", " width1 = swidth1.value, depth1 = sdepth1.value,\n", " width2 = swidth2.value, depth2 = sdepth2.value,\n", @@ -309,8 +391,8 @@ " except:\n", " pass\n", " \n", - " ax[0].lines.clear()\n", - " ax[1].lines.clear()\n", + " ax[0].clear()\n", + " ax[1].clear()\n", " ew, ef, x, dx, V = diagonalization(hquer, L, N, \n", " width1 = swidth1.value, depth1 = sdepth1.value,\n", " width2 = swidth2.value, depth2 = sdepth2.value,\n", @@ -326,8 +408,8 @@ " except:\n", " pass\n", " \n", - " ax[0].lines.clear()\n", - " ax[1].lines.clear()\n", + " ax[0].clear()\n", + " ax[1].clear()\n", " ew, ef, x, dx, V = diagonalization(hquer, L, N, \n", " width1 = swidth1.value, depth1 = sdepth1.value,\n", " width2 = swidth2.value, depth2 = sdepth2.value,\n", @@ -343,8 +425,8 @@ " except:\n", " pass\n", " \n", - " ax[0].lines.clear()\n", - " ax[1].lines.clear()\n", + " ax[0].clear()\n", + " ax[1].clear()\n", " ew, ef, x, dx, V = diagonalization(hquer, L, N, \n", " width1 = swidth1.value, depth1 = sdepth1.value,\n", " width2 = swidth2.value, depth2 = sdepth2.value,\n", @@ -359,8 +441,8 @@ " except:\n", " pass\n", " \n", - " ax[0].lines.clear()\n", - " ax[1].lines.clear()\n", + " ax[0].clear()\n", + " ax[1].clear()\n", "\n", " plot_eigenfunctions(ax, ew, ef, x, V, fak = sfak.value, single = ixx)\n", "\n", @@ -479,7 +561,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.0" + "version": "3.10.12" }, "voila": { "authors": "Dou Du and Giovanni Pizzi"