The exactly solvable self-gravitating fermion cluster in two dimensions

The mathematical model of a two-dimensional self-gravitating cluster formed by degenerate fermions, is solved analytically. The fermions interact with each other through a logarithmic potential. The radius of this system is shown to be constant, not depending on the total number of fermions that constitute the cluster.

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Bibliographic Details
Main Authors: Sañudo,J., Pacheco,A.F.
Format: Digital revista
Language:English
Published: Sociedad Mexicana de Física 2007
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1870-35422007000100010
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Description
Summary:The mathematical model of a two-dimensional self-gravitating cluster formed by degenerate fermions, is solved analytically. The fermions interact with each other through a logarithmic potential. The radius of this system is shown to be constant, not depending on the total number of fermions that constitute the cluster.