From 2e4d1d853c440f029ea59e93302971d3cb4436ff Mon Sep 17 00:00:00 2001
From: Davit Potoyan <david.potoyan@gmail.com>
Date: Thu, 7 Dec 2023 20:25:29 +0000
Subject: [PATCH] 'make all ch'

---
 ch05/hydrogen_wavefunctions.ipynb | 57 +++++++++++++++++--------------
 1 file changed, 32 insertions(+), 25 deletions(-)

diff --git a/ch05/hydrogen_wavefunctions.ipynb b/ch05/hydrogen_wavefunctions.ipynb
index 570f10ac..ac6291f9 100644
--- a/ch05/hydrogen_wavefunctions.ipynb
+++ b/ch05/hydrogen_wavefunctions.ipynb
@@ -22,7 +22,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 37,
+      "execution_count": 2,
       "id": "66432757",
       "metadata": {
         "id": "66432757"
@@ -37,9 +37,10 @@
         }
       ],
       "source": [
-        "import  matplotlib.pyplot as plt\n",
         "import numpy as np\n",
+        "import  matplotlib.pyplot as plt\n",
         "import plotly.graph_objects as go\n",
+        "from scipy.special import sph_harm, genlaguerre, factorial\n",
         "\n",
         "%matplotlib inline\n",
         "%config InlineBackend.figure_format = 'retina'\n",
@@ -72,7 +73,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 38,
+      "execution_count": 3,
       "id": "64b5614e",
       "metadata": {
         "id": "64b5614e"
@@ -87,7 +88,6 @@
         "    n: principal quantum number Int (1,2,3... inf)\n",
         "    l: angular quantum number Int (0,1,2,... n-1)\n",
         "    '''\n",
-        "    from scipy.special import  genlaguerre, factorial\n",
         "    \n",
         "    a0 = 1 # set Bohr radius to 1 (Hartree units)\n",
         "\n",
@@ -103,7 +103,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 39,
+      "execution_count": 4,
       "id": "1d3fa3c2",
       "metadata": {},
       "outputs": [
@@ -113,7 +113,7 @@
               "Text(0, 0.5, '$R_nl(r) r^2$')"
             ]
           },
-          "execution_count": 39,
+          "execution_count": 4,
           "metadata": {},
           "output_type": "execute_result"
         },
@@ -154,7 +154,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 42,
+      "execution_count": null,
       "metadata": {},
       "outputs": [
         {
@@ -171,14 +171,24 @@
         "\n",
         "Rnl = radial_function(r, n=5, l=3)\n",
         "\n",
-        "pr = r**2 * Rnl**2 * dr\n",
+        "pr = r**2 * Rnl**2 \n",
         "\n",
-        "norm = np.trapz(pr) # Check normalizaton\n",
-        "#cdf  = np.cumsum(pr) \n",
+        "norm = np.trapz(pr * dr) # Check normalizaton\n",
+        "#cdf  = np.cumsum(pr * dr) \n",
         "\n",
         "print(norm)"
       ]
     },
+    {
+      "cell_type": "code",
+      "execution_count": null,
+      "id": "cce6661c",
+      "metadata": {},
+      "outputs": [],
+      "source": [
+        "np.trapz(pr*r*dr)"
+      ]
+    },
     {
       "cell_type": "markdown",
       "id": "50b64906",
@@ -206,7 +216,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 43,
+      "execution_count": 9,
       "metadata": {},
       "outputs": [
         {
@@ -215,20 +225,18 @@
               "(0.28209479177387814+0j)"
             ]
           },
-          "execution_count": 43,
+          "execution_count": 9,
           "metadata": {},
           "output_type": "execute_result"
         }
       ],
       "source": [
-        "from scipy.special import sph_harm\n",
-        "\n",
         "sph_harm(0, 0, np.pi, np.pi) # test a few spherical harmonics"
       ]
     },
     {
       "cell_type": "code",
-      "execution_count": 44,
+      "execution_count": null,
       "id": "00641d96",
       "metadata": {},
       "outputs": [],
@@ -271,7 +279,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 45,
+      "execution_count": 13,
       "id": "5ba0e196",
       "metadata": {},
       "outputs": [
@@ -42005,9 +42013,9 @@
               }
             },
             "text/html": [
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               "                            \n",
-              "var gd = document.getElementById('c69fabfc-db0d-4362-bdf4-f186acde81ce');\n",
+              "var gd = document.getElementById('699fc392-3a5f-4689-a223-639f7cc1f123');\n",
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@@ -42060,7 +42068,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": null,
+      "execution_count": 10,
       "id": "ee8e24ca",
       "metadata": {
         "id": "ee8e24ca"
@@ -42074,8 +42082,9 @@
         "    '''Ψnlm(r,θ,φ) normalized wavefunction\n",
         "    by definition of quantum numbers n, l, m and a bohr radius augmentation coefficient'''\n",
         "\n",
-        "    # Compute where radial function has  nearly decayed to zero and determine cutoff distance\n",
+        "    # Compute where radial function has nearly decayed to zero and determine cutoff distance\n",
         "    r     = np.linspace(0, 500, 10000)\n",
+        "    pr = radial_function(r, n, l)**2 * r**2 * (r[1]-r[0])\n",
         "    max_r = r[ np.where(np.cumsum(pr) >0.95)[0][0] ] \n",
         "\n",
         "    # Set coordinates grid to assign a certain probability to each point (x, y) in the plane\n",
@@ -42097,17 +42106,15 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 55,
+      "execution_count": 11,
       "metadata": {},
       "outputs": [
         {
           "name": "stderr",
           "output_type": "stream",
           "text": [
-            "/tmp/ipykernel_17180/1890079564.py:21: RuntimeWarning:\n",
-            "\n",
-            "More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`). Consider using `matplotlib.pyplot.close()`.\n",
-            "\n"
+            "/tmp/ipykernel_25485/4170727653.py:22: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`). Consider using `matplotlib.pyplot.close()`.\n",
+            "  fig, ax = plt.subplots()\n"
           ]
         },
         {