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" 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" } }, "cell_type": "markdown", "id": "a195570c", "metadata": {}, "source": [ "![Griffiths%20Pr%201.11b.png](attachment:Griffiths%20Pr%201.11b.png)" ] }, { "cell_type": "markdown", "id": "a7f74252", "metadata": {}, "source": [ "(a) probability density is the area between θ and dθ.\n", "Therefore ρ(θ)dθ = dθ/π because the total area must sum to 1." ] }, { "cell_type": "markdown", "id": "07ff4441", "metadata": {}, "source": [ "(b) <θ> = 1/(2 π)" ] }, { "cell_type": "code", "execution_count": 1, "id": "37c312fe", "metadata": {}, "outputs": [], "source": [ "import sympy as sp\n", "sp.init_printing()" ] }, { "cell_type": "code", "execution_count": 2, "id": "3902ca4a", "metadata": {}, "outputs": [], "source": [ "theta = sp.symbols(\"\\theta\", real=True)" ] }, { "cell_type": "markdown", "id": "e5db11cf", "metadata": {}, "source": [ "$ \\text{Evaluate } \\frac{1}{\\pi} \\int_{0}^{ \\pi } \\theta d \\theta $" ] }, { "cell_type": "code", "execution_count": 7, "id": "2bffc617", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAABJ0AAASdAHeZh94AAACMklEQVR4nMXVX2jQVRTA8c/cEB8sIoMeRKToIXDBGEJv5hJBWFabiE/VsyBjICgJcXYCw4dARdBAY3vyQbI/0LI/MLAGoSBtTscegnwIWaHBoKB/23r4/QY/f/ttzTXovBzuOfec7z2He89tmZ+f939J21okycwncRdnMYAedOM5bMafmMAgBiNiDtatBRyvlLk+xH6cx/O4hlO4jHZcwKXMbGGNKldUeh9fowUvY3ihQsjMY7iOfejF5baKsxufrhDWGRHflXGP4kVcjIhZjDQFRMR0Zr6H49j5ABwzOIeDuI0PKr5ncQCj+ArjFd9LWI+PVnDov0r9N5W2R8RoZj5Rwj+OiIEFX2YeKeFDEfF+LWEPfsOXy1Ezsw2vl8vPWXzhOko9VrN3NtkzcwP24EpE/L4cHCcUl+6ziPhiOfh4zd6paNWtmn03NvqXlmdmHw5jCq8t2Jvgv+L7SuAjeAZTEfFHbX+v4g0PLwM+hNOYRFdE/LIInpmPYStuRkR17HUons9YLWkr9mIkImaWAPfjjKJjXRExXfVXK+8odVPL1eHYgU2WaHlmHsXJMq4rIn6u72mC1yHtpZ6o2Xswh08awG8pLtgN7IqIe00HrL7zBXi98sdLvS0zJyPix3I8vopvI+KnGvgNvI1ZfIO+zKxz70TEUB0+11DhJbygmEyteBfbsUUxt+vyVKlb0d/gh6sYalnNl5qZ7+BNPB0RPzx0glJW+6v1YPy/gGFVla+V/AMFhLb190RWywAAAABJRU5ErkJggg==\n", "text/latex": [ "$\\displaystyle \\frac{\\pi}{2}$" ], "text/plain": [ "π\n", "─\n", "2" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "theta_ave = sp.integrate(theta, (theta, 0 , sp.pi))/sp.pi\n", "theta_ave" ] }, { "cell_type": "markdown", "id": "73d6262d", "metadata": {}, "source": [ "$ \\text{Evaluate } \\frac{1}{\\pi} \\int_{0}^{ \\pi } \\theta^2 d \\theta $" ] }, { "cell_type": "code", "execution_count": 8, "id": "404d957a", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle \\frac{\\pi^{2}}{3}$" ], "text/plain": [ " 2\n", "π \n", "──\n", "3 " ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "theta2_ave = sp.integrate(theta**2, (theta, 0 , sp.pi))/sp.pi\n", "theta2_ave" ] }, { "cell_type": "code", "execution_count": 10, "id": "46bd98f5", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle \\frac{\\sqrt{3} \\pi}{6}$" ], "text/plain": [ "√3⋅π\n", "────\n", " 6 " ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Now compute σ\n", "sigma = sp.sqrt(theta2_ave - theta_ave**2)\n", "sigma" ] }, { "cell_type": "markdown", "id": "cc836319", "metadata": {}, "source": [ "Compute , and " ] }, { "cell_type": "code", "execution_count": 11, "id": "07f25a99", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle \\frac{2}{\\pi}$" ], "text/plain": [ "2\n", "─\n", "π" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sinthave = sp.integrate(sp.sin(theta), (theta, 0 , sp.pi))/sp.pi\n", "sinthave" ] }, { "cell_type": "code", "execution_count": 13, "id": "c7157fbf", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAA0AAAAQCAYAAADNo/U5AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAABJ0AAASdAHeZh94AAABEElEQVR4nJXSsUqcURCG4cfFKosYCKRSECR6BzFgJcLiTdiLQsA6xTCCrYVibiAXkNjapFK8A90Vwc5KVMSUroVn5fjrBp3mg5l5Z4ZzvpF+v++9MdpMZOYENrCET7jAH2REXMFIvSkzp3GIz9jDCb5iAV3MR8Rlc9PPAnyPiJ1q2BbWsYmVVmNLB+fYbQwL3GE5M9utqrBQdD8i7p8REbc4wAd8q6HZor3m45Q4LTpTQ+NFb4ZAg/zH1pCG/0YNDSaNv9ZY5a9rqFt0Zgj0pWivhv4W7WTms7Mzcwzz+Iejp2JEnGEfU1hrbEm08Ssi7pqOWPVoo+3MXMQx5jz+YQ8/aHivnDLppWF/G2bYt8YDKpZR3A7SAGIAAAAASUVORK5CYII=\n", "text/latex": [ "$\\displaystyle 0$" ], "text/plain": [ "0" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "costhave = sp.integrate(sp.cos(theta), (theta, 0 , sp.pi))/sp.pi\n", "costhave" ] }, { "cell_type": "code", "execution_count": 14, "id": "036c0ec0", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAABJ0AAASdAHeZh94AAAB3UlEQVR4nMXVzYvNcRTH8dc1kyywsaBkYdbEQtnIY6I8zR3sMP/AJKJEdJwF2SElRc1sWKghC4+LmbCiFJEs5Ck0aSgLJcyMxf1NjTt3HtxbnPr17Zzvp/PunPP9fb+loaEh/8uaRzqZuQ0rsBiLMAMXI2LHeEkyczY+4iyOoowNWIi5+IGn6ERnRAzClKo8h9FRwD/8RRFbilxXsB3nsRQPcArdWIALuJyZpVGVYy/e46VKB3onCS/jM+6hhM24PlwhZOYhPMRWtKH7D3hE9I4QT4qamTOxGpciYgA9tXQR0ZeZ53AMK9Fd3fZ6bCOm4uoktD+L9RejZ16PlfENd8YTZWYzdhXurYbhmTkN63EzIr5PID+hcuhuRMTthuFYi+kmaHlm7sY+vMDO4Xij8DaVf/j6OOAOnMZzrIqILw3DM7MJm9ATEV/H0OzBGTwrwH0j9xupfDlmGaPlmXkAJ/G4AH+q1jQCL2MQ12qAj6gcsEdYExH9tRKURj4smdmK1sKdg3V4hftFrD8i9hfX41u8i4hlVeB2dGFApeW1RvImIrqqr9fFaK+KtRSfArgfSzBP5d6utvnF2oQ9NfbhLrpK9TypmXkcB9ESEa//OkFh9c68jCeNgKma+b+239xjmLJ2Pe8KAAAAAElFTkSuQmCC\n", "text/latex": [ "$\\displaystyle \\frac{1}{2}$" ], "text/plain": [ "1/2" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "costh2ave = sp.integrate(sp.cos(theta)**2, (theta, 0 , sp.pi))/sp.pi\n", "costh2ave" ] }, { "cell_type": "code", "execution_count": null, "id": "77dd7ab3", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }