This article is cited in 1 paper

Static Vortex Solutions in a Planar Particle System Obeying a Generalized Exclusion Principle

G. Kaniadakis^ab, P. Quarati^ab, A. M. Scarfone<sup>ab

a</sup> Polytechnic University of Turin
^b INFM — Istituto Nazionale di Fisica della Materia

Abstract: We consider a planar particle system obeying a generalized Pauli exclusion principle. In the mean field approximation, this system is described by a Schrödinger equation we recently introduced, containing a complex nonlinearity. The particle number, the total energy, and the angular momentum are conserved in such a system. We consider vortexlike stationary solutions of the form $\psi(\mathbf r)= \rho(r)^{1/2}e^{in\theta}$ and write the differential equation for the vortex shape. We find an analytic solution of this equation and obtain a closed expression for the vortex profile. We investigate some mean properties and, in particular, calculate the energy spectrum and angular momentum of the vortex.

DOI: 10.4213/tmf469

 English version: Theoretical and Mathematical Physics, 2001, 127:3, 760–766

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