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\n", " A nucleon is bound in a square well potential. Using solutions\n", " of Schrödinger equations from the left and from the right of the well, the bisection algorithm is used to search for an energy at which the log derivatives match, i.e. $\\Delta$ vanishes:\n", " \n", " $$\n", "\\Delta (E,x) = \\left. \\frac{\\psi'_L(x)/\\psi_L(x) -\n", "\\psi'_R(x)/\\psi_R(x)}{\\psi'_L(x)/\\psi_L(x)\n", " + \\psi'_R(x)/\\psi_R(x) }\\right|_{x=x_{match}} \n", " $$ " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/html": [ "
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