We consider a planar particle system obeying a generalized Pauli exclusion principle. In the mean field approximation, this system is described by a Schrodinger 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 (r) = rho (r)(1/2)e(in theta) and write the differential equation for the vortex shape. We Rnd 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.
Static vortex solutions in a planar particle system obeying a generalized exclusion principle
AM Scarfone
2001
Abstract
We consider a planar particle system obeying a generalized Pauli exclusion principle. In the mean field approximation, this system is described by a Schrodinger 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 (r) = rho (r)(1/2)e(in theta) and write the differential equation for the vortex shape. We Rnd 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.