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This article is cited in 1 scientific paper (total in 1 paper)
Static Vortex Solutions in a Planar Particle System Obeying a Generalized Exclusion Principle
G. Kaniadakisab, P. Quaratiab, A. M. Scarfoneab a 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.
Citation:
G. Kaniadakis, P. Quarati, A. M. Scarfone, “Static Vortex Solutions in a Planar Particle System Obeying a Generalized Exclusion Principle”, TMF, 127:3 (2001), 411–417; Theoret. and Math. Phys., 127:3 (2001), 760–766
Linking options:
https://www.mathnet.ru/eng/tmf469https://doi.org/10.4213/tmf469 https://www.mathnet.ru/eng/tmf/v127/i3/p411
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