diff --git a/exercises/ex04_solution/heised_python/heised.ipynb b/exercises/ex04_solution/heised_python/heised.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..5fed69cbde43f21632f8355959d62599b8198a0a
--- /dev/null
+++ b/exercises/ex04_solution/heised_python/heised.ipynb
@@ -0,0 +1,150 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 38,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import scipy.sparse.linalg as LA\n",
+    "import matplotlib.pyplot as plt\n",
+    "%matplotlib inline\n",
+    "plt.rcParams['figure.figsize'] = 16, 9"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 39,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "class Heisenberg:\n",
+    "    def __init__(self,L,nup,periodic=False,j=1.):\n",
+    "        self.L   = L\n",
+    "        self.nup = nup\n",
+    "        self.periodic = periodic\n",
+    "        self.j = j\n",
+    "        self.index  = -np.ones((1<<self.L),dtype=int)\n",
+    "        states = []\n",
+    "        ## find all basis states with given nup\n",
+    "        i = 0\n",
+    "        for s in range((1<<nup)-1,len(self.index)):\n",
+    "            if bin(s).count('1')==self.nup:\n",
+    "                self.index[s] = i\n",
+    "                states.append(s)\n",
+    "                i+=1\n",
+    "        self.states = np.array(states,dtype=int)\n",
+    "        self.N = len(self.states)\n",
+    "    def multiply(self,x):\n",
+    "        assert(len(x)>=self.N)\n",
+    "        y = np.zeros_like(x)\n",
+    "        # diagonal part\n",
+    "        for i,s in enumerate(self.states):\n",
+    "            jtotal = 0.\n",
+    "            for r in range(self.L-1):\n",
+    "                jtotal += -1 if ((s >> r)^(s >> (r+1)))&1 else 1\n",
+    "            y[i] = 0.25*self.j*jtotal*x[i]\n",
+    "        # off-diagonal part\n",
+    "        for i,s in enumerate(self.states):\n",
+    "            for r in range(self.L-1):\n",
+    "                if ((s >> r)^(s >> (r+1)))&1 :\n",
+    "                    sflipped = s^(3 << r)\n",
+    "                    y[self.index[sflipped]] += 0.5*self.j*x[i]\n",
+    "        if self.periodic:\n",
+    "            for i,s in enumerate(self.states):\n",
+    "                y[i] += 0.25*self.j*(-1 if (s^(s >> (self.L-1)))&1 else 1)*x[i]\n",
+    "                if (s^(s >> (self.L-1)))&1 :\n",
+    "                    sflipped = s^(1|(1 << (self.L-1)))\n",
+    "                    y[self.index[sflipped]] += 0.5*self.j*x[i]\n",
+    "        return y   "
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Test Energies"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 44,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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iYgAIDw/n7rvvpkiRIjRs2JA//vjjsv0++ugjateuTf78+YmPj+eWW24hIiICgJiYGJ5/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\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x1133442b0>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "E_o = []\n",
+    "E_p = []\n",
+    "Lmin = 2\n",
+    "Lmax = 12\n",
+    "for L in range(Lmin,Lmax):\n",
+    "    nup = L//2\n",
+    "    heis_o = Heisenberg(L,nup,periodic=False)\n",
+    "    H = LA.LinearOperator( (heis_o.N,heis_o.N), matvec=heis_o.multiply)\n",
+    "    w,_ = LA.eigsh(H, 1, which='SA')\n",
+    "    E_o.append(w/L)\n",
+    "    heis_p = Heisenberg(L,nup,periodic=True)\n",
+    "    H = LA.LinearOperator( (heis_p.N,heis_p.N), matvec=heis_p.multiply)\n",
+    "    w,_ = LA.eigsh(H, 1, which='SA')\n",
+    "    E_p.append(w/L)\n",
+    "\n",
+    "plt.figure()\n",
+    "plt.plot(1/np.arange(Lmin,Lmax),E_o,label='open')\n",
+    "plt.plot(1/np.arange(Lmin,Lmax),E_p,label='periodic')\n",
+    "plt.xlim([1/Lmax,1/Lmin])\n",
+    "plt.title('Ground state energy per site')\n",
+    "plt.xlabel('$1/L$')\n",
+    "plt.ylabel('$E_0/L$')\n",
+    "plt.legend()\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "collapsed": true
+   },
+   "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": "3.4.4"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}