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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 127, Number 3, Pages 411–417
DOI: https://doi.org/10.4213/tmf469
(Mi tmf469)
 

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
Full-text PDF (181 kB) Citations (1)
References:
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.
English version:
Theoretical and Mathematical Physics, 2001, Volume 127, Issue 3, Pages 760–766
DOI: https://doi.org/10.1023/A:1010447701281
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\pages 411--417
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\jour Theoret. and Math. Phys.
\yr 2001
\vol 127
\issue 3
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\crossref{https://doi.org/10.1023/A:1010447701281}
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  • https://www.mathnet.ru/eng/tmf469
  • https://doi.org/10.4213/tmf469
  • https://www.mathnet.ru/eng/tmf/v127/i3/p411
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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