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For a fermion gas with equally spaced energy levels that is subjected to amagnetic field, the particle density is calculated. The derivation is based onthe path integral approach for identical particles, in combination with theinversion techniques for the generating function of the static responsefunctions. Explicit results are presented for the ground state density as afunction of the magnetic field with a number of particles ranging from 1 to 45.Comment: 9 pages, 8 figures; To appear in Phys. Rev. E on December 1, 2000;  e-mail addresses: sfoulon@uia.ua.ac.be, brosens@uia.ua.ac.be,  devreese@uia.ua.ac.be, lcnlmmns@ruca.ua.ac.b

Density of a gas of spin-polarized fermions in a magnetic field