Abstract

SANUDO, J.  and  PACHECO, A.F.. The exactly solvable self-gravitating fermion cluster in two dimensions. Rev. mex. fís. E [online]. 2007, vol.53, n.1, pp.82-85. ISSN 1870-3542.

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.

Keywords : Thomas-Fermi model; white dwarfs.

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