Free energy for harmonically bound fermions in a magnetic field

作者：L Wang, R. F. O’Connell · 发表于：Journal of Physics A Mathematical and General · 年份：1987 · DOI：10.1088/0305-4470/20/4/028 · 被引用次数：3 · 研究领域：Nuclear physics research studies、Quantum chaos and dynamical systems、Quantum Chromodynamics and Particle Interactions

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.