J. Phys. IV France 10 (2000) Pr5-381-Pr5-388
Ground-state energy of a high-density electron gas in a strong magnetic fieldM. Steinberg and J. Ortner
Humboldt-Universität zu Berlin, Invalidenstr. 110, 10115 Berlin, Germany
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 [MATH] instead of the field-free Gell-Mann Brueckner parameter [MATH].
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