The high-density electron gas in a strong magnetic field B and at zero
temperature is investigated. The quantum strong-field limit is considered in
which only the lowest Landau level is occupied. It is shown that the
perturbation series of the ground-state energy can be represented in analogy to
the Gell-Mann Brueckner expression of the ground-state energy of the field-free
electron gas. The role of the expansion parameter is taken by rBβ=(2/3Ο2)(B/m2)(βrSβ/e)3 instead of the field-free Gell-Mann Brueckner
parameter r_s.Comment: 4 pages, 2 figures, to appear in the proceedings of the 1999
International Conference on Strongly Coupled Coulomb Systems (St.Malo