Wei_Duan_06.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 这个文章要好算一些，需要的公式如下\n",
    "$$ 2^{-7/2}\\pi^{-1}(\\frac{\\hbar^2}{2m})^{3/2}\\sqrt{-E}=\\frac{1}{U_p-\\frac{g_p^2}{\\gamma_p-E}} $$\n",
    "其中\n",
    "$$ U_p=\\frac{4\\pi\\hbar^2 a_{bg}}{m}$$\n",
    "$$ g_p^2=\\frac{4\\pi\\hbar^2 a_{bg}\\Delta B\\mu_{co}}{m}$$\n",
    "$$ \\gamma_p=\\mu_{co}(B-B_0)$$\n",
    "\n",
    "#### 值得注意的是E以费米能为单位\n",
    "$$ E_F=\\frac{\\hbar^2(3\\pi^2n)^{2/3}}{2m}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 算的是Li6，数据如下\n",
    "The parameters for the 6Li atoms are\n",
    "\n",
    "$$ a_{bg} = −1405a_0 $$\n",
    "$$ ∆B = −300G $$\n",
    "$$ µco ∼ 2µB$$\n",
    "\n",
    "where a0 is the Bohr radius and µB is the Bohr magnetic moment. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 需要的数据如下"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.integrate import quad\n",
    "from scipy.misc import derivative\n",
    "from scipy import optimize\n",
    "from scipy.optimize import root;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#用到的科学常数\n",
    "Bohr_mag=9.274e-24\n",
    "Bohr_radius=0.529e-10\n",
    "u=1.66054e-27\n",
    "hbar=1.0545718e-34\n",
    "\n",
    "#输入参数\n",
    "abg=-1405*Bohr_radius\n",
    "delta_B=-300e-4\n",
    "mu_co=2*Bohr_mag\n",
    "m=6*u\n",
    "n=2.9e19\n",
    "\n",
    "#求解问题的中间变量\n",
    "Up=4*np.pi*hbar**2*abg/m\n",
    "gp2=Up*delta_B*mu_co\n",
    "E0=hbar**2*(3*np.pi**2*n)**(2/3)/2/m\n",
    "\n",
    "#定义求解函数\n",
    "def solv(E):\n",
    "    return 2**(-7/2)/np.pi*(hbar**2/2/m)**(-1.5)*np.sqrt(-E*E0)-1/(Up-gp2/(mu_co*B*1e-4-E*E0))\n",
    "#                                                                       上面这个B应该是B-B0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/root/anaconda3/lib/python3.8/site-packages/scipy/optimize/minpack.py:175: RuntimeWarning: The iteration is not making good progress, as measured by the \n",
      "  improvement from the last ten iterations.\n",
      "  warnings.warn(msg, RuntimeWarning)\n",
      "/root/anaconda3/lib/python3.8/site-packages/scipy/optimize/minpack.py:175: RuntimeWarning: xtol=0.000000 is too small, no further improvement in the approximate\n",
      "  solution is possible.\n",
      "  warnings.warn(msg, RuntimeWarning)\n"
     ]
    }
   ],
   "source": [
    "#定义求解区间\n",
    "x4=np.arange(-1000,-100,0.1)\n",
    "x4=x4[::-1]\n",
    "#print(x4)\n",
    "Bound_sta=[]\n",
    "chu=-1\n",
    "for B in x4:\n",
    "    solution=optimize.fsolve(solv, chu, xtol=1e-20)\n",
    "    chu=solution[0]\n",
    "    Bound_sta.append(solution[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#?print(Bound_sta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#下面是画图代码\n",
    "plt.figure(num=2,dpi=300)\n",
    "plt.plot(x4,Bound_sta,color='r',linewidth=1.0,linestyle='-')\n",
    "\n",
    "ax=plt.gca()\n",
    "plt.xlabel(r'$B/Gauss$')\n",
    "plt.ylabel(r'$\\epsilon/\\epsilon_0$')\n",
    "plt.ylim(-100000,-1)\n",
    "plt.yscale('symlog')\n",
    "#plt.legend(handles=[l0,l1,l2],labels=['zero-order','second-order','accurate but with a upper limit'],loc='upper right',fontsize='small')\n",
    "ax.set_title('Interaction energy',fontsize=17,color='r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}