jpb467377f1_online.jpg (22.53 kB)

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

figure

posted on 2013-08-05, 00:00 authored by Hagen Kleinert**Figure 1.** Solution of the variational equation (130) for \bar{f}_1=1. The dotted curves show the pure large-*y* behaviour.

**Abstract**

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.