Solution of the variational equation (130) for ar{f}_1=1

2013-08-05T00:00:00Z (GMT) by Hagen Kleinert
<p><strong>Figure 1.</strong> Solution of the variational equation (<a href="http://iopscience.iop.org/0953-4075/46/17/175401/article#jpb467377eqn130" target="_blank">130</a>) for \bar{f}_1=1. The dotted curves show the pure large-<em>y</em> behaviour.</p> <p><strong>Abstract</strong></p> <p>While free and weakly interacting nonrelativistic particles are described by a Gross–Pitaevskii equation, which is a nonlinear self-interacting Schrödinger equation, the phenomena in the strong-coupling limit are governed by an effective action that is extremized by a double-fractional generalization of this equation. Its particle orbits perform Lévy walks rather than Gaussian random walks.</p>