An analytic expression is obtained for the free energy of fermions bound in an anisotropic harmonic potential in the presence of an arbitrary magnetic field, at a finite temperature. The specific heat and the magnetic moment are readily calculated. The results consist of two parts, a steady part and an oscillatory one. The latter is similar to the well known de Haas-van Alphen oscillation, but persists in the absence of a magnetic field. Application of the results to the nuclear shell model and surface effects of solids are briefly discussed. © 1987, IOP Publishing Ltd.
Publication Source (Journal or Book title)
Journal of Physics A: Mathematical and General
Wang, L., & O'Connell, R. (1987). Free energy for harmonically bound fermions in a magnetic field. Journal of Physics A: Mathematical and General, 20 (4), 937-948. https://doi.org/10.1088/0305-4470/20/4/028