Update Hamiltonian expression & importations

Author: Collins-kariuk

SymPyfy Tutorial.ipynb

@@ -45,7 +45,7 @@
     "In second quantization, the TB Hamiltonian is given by:\n",
     "\n",
     "$$\n",
-    "H = -\\sum_{i j l_1 l_2 \\sigma} t_{i j}^{l_1 l_2} [c^{\\dagger}_{i l_1 \\sigma} c_{j l_2 \\sigma} + c^{\\dagger}_{j l_2 \\sigma} c_{i l_1 \\sigma}]\n",
+    "H = -\\sum_{<i j> l_1 l_2 \\sigma} t_{i j}^{l_1 l_2} [c^{\\dagger}_{i l_1 \\sigma} c_{j l_2 \\sigma} + c^{\\dagger}_{j l_2 \\sigma} c_{i l_1 \\sigma}]\n",
     "$$\n",
     "\n",
     "where:\n",
@@ -110,9 +110,21 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 17,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "ename": "ImportError",
+     "evalue": "cannot import name 'TB_to_sympy' from 'triqs.lattice.utils' (/Users/munenekariuki/opt/anaconda3/envs/TRIQS/lib/python3.11/site-packages/triqs/lattice/utils.py)",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mImportError\u001b[0m                               Traceback (most recent call last)",
+      "Cell \u001b[0;32mIn[17], line 11\u001b[0m\n\u001b[1;32m      8\u001b[0m \u001b[39mimport\u001b[39;00m \u001b[39mmatplotlib\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mpyplot\u001b[39;00m \u001b[39mas\u001b[39;00m \u001b[39mplt\u001b[39;00m\n\u001b[1;32m     10\u001b[0m \u001b[39m# import all files from lattice in TRIQS\u001b[39;00m\n\u001b[0;32m---> 11\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39mtriqs\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mlattice\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mutils\u001b[39;00m \u001b[39mimport\u001b[39;00m TB_to_sympy\n",
+      "\u001b[0;31mImportError\u001b[0m: cannot import name 'TB_to_sympy' from 'triqs.lattice.utils' (/Users/munenekariuki/opt/anaconda3/envs/TRIQS/lib/python3.11/site-packages/triqs/lattice/utils.py)"
+     ]
+    }
+   ],
    "source": [
     "# importing the dependencies\n",
     "from itertools import product as itp\n",
@@ -124,7 +136,12 @@
     "import matplotlib.pyplot as plt\n",
     "\n",
     "# import all files from lattice in TRIQS\n",
-    "import triqs.lattice "
+    "\n",
+    "# # importing it from TRIQS repo\n",
+    "# from triqs.lattice.utils import TB_to_sympy\n",
+    "\n",
+    "# importing it from this locala tutorials repo\n",
+    "from TB_to_sympy import TB_to_sympy"
    ]
   },
   {
@@ -136,7 +153,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 11,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -152,20 +169,23 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "We can call ```TB_from_sympy``` for different cases depending on the values we assign to its parameters. Here is one case:"
+    "We can call ```TB_to_sympy``` for different cases depending on the values we assign to its parameters. Here is one case:"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [
     {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The analytical expression \n",
-      " [[-0.88*cos(a1k + a3k) - 0.88*cos(a2k + a3k) + 0.159]]\n"
+     "ename": "NameError",
+     "evalue": "name 'TB_to_sympy' is not defined",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
+      "Cell \u001b[0;32mIn[12], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[39mprint\u001b[39m(\u001b[39m\"\u001b[39m\u001b[39mThe analytical expression \u001b[39m\u001b[39m\\n\u001b[39;00m\u001b[39m\"\u001b[39m, TB_to_sympy(w90_triqs_La2CuO4, analytical \u001b[39m=\u001b[39m \u001b[39mTrue\u001b[39;00m, precision \u001b[39m=\u001b[39m \u001b[39m3\u001b[39m))\n",
+      "\u001b[0;31mNameError\u001b[0m: name 'TB_to_sympy' is not defined"
      ]
     }
    ],
@@ -175,15 +195,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [
     {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The numerical expression \n",
-      " [[-0.88*cos(3.818*kx) - 0.88*cos(3.818*ky) + 0.159]]\n"
+     "ename": "NameError",
+     "evalue": "name 'TB_to_sympy' is not defined",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
+      "Cell \u001b[0;32mIn[13], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[39mprint\u001b[39m(\u001b[39m\"\u001b[39m\u001b[39mThe numerical expression \u001b[39m\u001b[39m\\n\u001b[39;00m\u001b[39m\"\u001b[39m, TB_to_sympy(w90_triqs_La2CuO4, analytical \u001b[39m=\u001b[39m \u001b[39mFalse\u001b[39;00m, precision \u001b[39m=\u001b[39m \u001b[39m3\u001b[39m))\n",
+      "\u001b[0;31mNameError\u001b[0m: name 'TB_to_sympy' is not defined"
      ]
     }
    ],