{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "00fbf141-4fad-47b9-b933-95b6debc0fa8",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy.linalg as la\n",
    "import atomiche as A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fe46aa5f-de0a-4726-ba6b-76f4092f9ac7",
   "metadata": {},
   "outputs": [],
   "source": [
    "def V_arm(r):\n",
    "    from atomiche import K_CO\n",
    "    return 0.5*K_CO*r**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "3e029a91-2443-450a-993a-62af99bb729c",
   "metadata": {},
   "outputs": [],
   "source": [
    "def V_morse(r, a=A.a_CO, D=A.D_CO):\n",
    "    return D*(1-np.exp(-a*r))**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "bd76e3a3-3de8-42e7-a97c-77897460dcf5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fcb518d3190>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=np.linspace(-0.4, 0.45, 20)\n",
    "v_arm=V_arm(x)\n",
    "v_morse=V_morse(x)\n",
    "plt.plot(x,v_arm,label=\"v_arm\")\n",
    "plt.plot(x,v_morse, label=\"v_morse\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "84029fa6-8832-4003-a80a-865081b22b3d",
   "metadata": {},
   "outputs": [],
   "source": [
    "Rb=np.linspace(-0.4, 0.4, 128)\n",
    "def soluzioni_arm(r=Rb, n=10):\n",
    "    \"restituisce n soluzioni dell'oscillatore armonico, a partire dalla fondamentale\"\n",
    "    from atomiche import K_CO, μ_CO\n",
    "    α=(K_CO*μ_CO)**0.5\n",
    "    ω=(K_CO/μ_CO)**0.5\n",
    "    sol=[]\n",
    "    for i in range(n):\n",
    "        fi=np.exp(-α/2*r**2)*r**i\n",
    "        for j in range(i):\n",
    "            fj=sol[j][1]\n",
    "            ol=np.dot(fi, fj)\n",
    "            fi=fi-ol*fj\n",
    "        ol=np.dot(fi,fi)\n",
    "        fi=fi/ol**0.5\n",
    "        sol.append((ω*(0.5+i), fi))\n",
    "    return sol"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "00be16a5-68b4-47a4-a317-b8e8fa40ef6f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def H(ψ, r=Rb, m=A.μ_CO, V=V_arm):\n",
    "    \"restituisce Hψ, con l'energia cinetica valutata numericamente\"\n",
    "    d=r[1]-r[0]\n",
    "    return -np.gradient(np.gradient(ψ))/d**2/2/m+V(r)*ψ\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "id": "0fee697e-3d69-4c2b-8201-eef6b16e7ef3",
   "metadata": {},
   "outputs": [],
   "source": [
    "ψ_arm=soluzioni_arm(n=15)\n",
    "e0,f0=ψ_arm[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "id": "fac1d717-3e13-477f-a8de-a85ad0a2994a",
   "metadata": {},
   "outputs": [],
   "source": [
    "hf0=H(f0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "id": "ce27ef72-7877-4743-be0e-7cbb20780a19",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fcb4df01010>"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# verifichiamo che le soluzioni siano corrette\n",
    "loc=np.argmax(np.abs(hf0))\n",
    "residuo=(hf0-e0*f0)/e0\n",
    "plt.plot(Rb,f0, label='f0')\n",
    "plt.plot(Rb, hf0/e0, label='H f0/e0')\n",
    "plt.plot(Rb, residuo, label='residuo')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "id": "4e4c02aa-fe2d-48d5-8654-07f237000e31",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# verifica per ψ1\n",
    "e1,f1=ψ_arm[1]\n",
    "hf1=H(f1)\n",
    "residuo=(hf1-e1*f1)/e1\n",
    "plt.plot(Rb,f1, label='f1')\n",
    "plt.plot(Rb, hf1/e1, ':',label='H f1/e1')\n",
    "plt.plot(Rb, residuo, label='residuo')\n",
    "plt.legend()\n",
    "None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "id": "a95835e2-411d-4ec2-be6a-81aa461c0287",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "il momento di dipolo tra f0 e f1 è 0.06361355388858284\n",
      "il momento di dipolo tra f0 e f2 è 6.505213034913027e-19\n",
      "il momento di dipolo tra f0 e f3 è 2.6020852139652106e-18\n",
      "il momento di dipolo tra f0 e f4 è 1.3010426069826053e-18\n",
      "il momento di dipolo tra f0 e f5 è -2.710505431213761e-18\n",
      "il momento di dipolo tra f0 e f6 è 4.336808689942018e-19\n",
      "il momento di dipolo tra f0 e f7 è 5.421010862427522e-18\n",
      "il momento di dipolo tra f0 e f8 è -5.204170427930421e-18\n",
      "il momento di dipolo tra f0 e f9 è -1.6479873021779667e-17\n"
     ]
    }
   ],
   "source": [
    "for i in range(1,10):\n",
    "    print(f'il momento di dipolo tra f0 e f{i} è {np.dot(f0, Rb*ψ_arm[i][1])}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f0ddb66a-41b3-472b-856a-ea1630eafba4",
   "metadata": {},
   "source": [
    "## analisi delle soluzioni anarmoniche"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3ae37783-db64-4026-af2c-01f3258ad94b",
   "metadata": {},
   "source": [
    "andiamo ora a rappresentare le soluzioni anarmoniche nella base delle soluzioni armoniche:\n",
    "$$\\psi^{an}_k=\\sum_m Ψ_{km} ψ^{ar}_m$$\n",
    "a questo scopo, le colonne $Ψ[k,:]$ della soluzione devono essere autovettori della matrice hamiltoniana:\n",
    "$$H^{an}_{mn}=\\langle \\psi^{ar}_m | H^{an} | \\psi^{ar}_n \\rangle$$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "id": "67fcfcfd-e2cc-4778-a95e-3d6ae6b5d7be",
   "metadata": {},
   "outputs": [],
   "source": [
    "def Hm_anar(base_arm):\n",
    "    \"restituisce la matrice rappresentazione di H_morse nella base base_arm\"\n",
    "    n=len(base_arm)\n",
    "    res=np.zeros((n,n))\n",
    "    for i in range(n):\n",
    "        for j in range(i+1):\n",
    "            h_ij=np.dot(base_arm[i][1], H(base_arm[j][1], V=V_morse))\n",
    "            res[i,j]=h_ij\n",
    "            res[j,i]=h_ij\n",
    "    return res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "id": "bc17d5b0-781a-4d24-81a0-1a2179ae025c",
   "metadata": {},
   "outputs": [],
   "source": [
    "Hm=Hm_anar(ψ_arm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "id": "58707a31-f1f4-4594-bc79-2c8b6a0e98c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 4.96362724e-03, -5.84706985e-04,  9.25251562e-05,\n",
       "        -4.81068709e-04,  3.40030735e-05, -3.28563320e-06,\n",
       "         2.18200529e-07, -1.30111418e-08,  6.45983415e-08,\n",
       "        -3.73519321e-11,  1.40767158e-07, -8.07114250e-14,\n",
       "         2.17883032e-07, -1.45825192e-16,  2.61571371e-07],\n",
       "       [-5.84706985e-04,  1.49322618e-02, -1.66013497e-03,\n",
       "         2.67644567e-04, -9.69474094e-04,  7.66439909e-05,\n",
       "        -8.07972938e-06,  7.38462846e-07, -3.67407957e-08,\n",
       "         5.70243716e-07, -1.15119488e-10,  1.03818580e-06,\n",
       "        -2.57335819e-13,  1.39843753e-06, -4.50702843e-16]])"
      ]
     },
     "execution_count": 133,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Hm[:2,:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "id": "7a0cda5a-63ee-4fc9-9cf4-86ce1bce2103",
   "metadata": {},
   "outputs": [],
   "source": [
    "E_an, Ψ_an=la.eigh(Hm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "id": "7bb5f730-393c-4f99-995b-db1bea59c00f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 9.98148749e-01,  5.85456275e-02,  2.64178497e-03,  1.60678934e-02,\n",
       "        2.43679501e-03,  1.91972464e-04,  5.77841677e-04,  1.39325015e-04,\n",
       "        1.33369700e-05,  2.49266457e-05,  5.10242984e-06, -3.05953395e-06,\n",
       "       -3.19627373e-06, -3.96053438e-06, -4.12066789e-06])"
      ]
     },
     "execution_count": 154,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Ψ_an[:,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "id": "83fa9c30-6ff2-4d4b-a904-7e7ebcd17115",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=np.linspace(-0.4, 1.25, 20)\n",
    "v_arm=V_arm(x)\n",
    "v_morse=V_morse(x)\n",
    "plt.plot(x,v_arm, color=\"blue\", label=\"v_arm\")\n",
    "plt.plot(x,v_morse, color=\"red\", label=\"v_morse\")\n",
    "for v in ψ_arm:\n",
    "    plt.axhline(v[0], color=\"blue\")\n",
    "for v in E_an:\n",
    "    plt.axhline(v, ls=\"--\", color=\"red\")\n",
    "plt.ylim(0,0.25)\n",
    "plt.legend()\n",
    "None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "id": "d88da6b2-51f1-4432-b5cb-5cfebd4dcfb4",
   "metadata": {},
   "outputs": [],
   "source": [
    " def ψ_an(i):\n",
    "    n=len(Hm)\n",
    "    res=np.zeros(len(ψ_arm[0][1]))\n",
    "    for k in range(n):\n",
    "        res+=Ψ_an[k,i]*ψ_arm[k][1]\n",
    "    return res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 152,
   "id": "ddaf63e3-5218-4ad4-9a2f-3d0da2df6bb8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1600x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs=plt.subplots(figsize=(16,4), ncols=4)\n",
    "for i in range(4):\n",
    "    axs[i].plot(Rb, ψ_arm[i][1], label=\"arm\")\n",
    "    axs[i].plot(Rb, ψ_an(i), label=\"anarm\")\n",
    "    axs[i].axhline(0, color=\"black\", ls=\"--\", lw=1)\n",
    "    axs[i].axvline(0, color=\"black\", ls=\"--\", lw=1)\n",
    "    axs[i].legend()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "id": "70880610-b48c-4307-abf3-d54510c5f84d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "il momento di dipolo tra f0 e f1 è -0.06373161132601562\n",
      "il momento di dipolo tra f0 e f2 è -0.003511790524987058\n",
      "il momento di dipolo tra f0 e f3 è 0.00040732138357816715\n",
      "il momento di dipolo tra f0 e f4 è -6.972537611331663e-05\n",
      "il momento di dipolo tra f0 e f5 è 1.4871034411122891e-05\n",
      "il momento di dipolo tra f0 e f6 è -3.2586982226170003e-06\n",
      "il momento di dipolo tra f0 e f7 è -9.419156993127793e-07\n",
      "il momento di dipolo tra f0 e f8 è 1.630527623002441e-07\n",
      "il momento di dipolo tra f0 e f9 è -8.907572708691941e-08\n"
     ]
    }
   ],
   "source": [
    "for i in range(1,10):\n",
    "    print(f'il momento di dipolo tra f0 e f{i} è {np.dot(ψ_an(0), Rb*ψ_an(i))}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e0693b4d-50f8-45da-ad18-3abcd7667e23",
   "metadata": {},
   "source": [
    "## esercizio\n",
    "verificare come abbiamo fatto sopra per le soluzioni armoniche, entro quali limiti le soluzioni anarmoniche sono corrette"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6e598146-646e-4a8a-929c-704b1bdfe86f",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3b815b3c-377b-4edc-9552-5800d2acadba",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
