@article{oai:kindai.repo.nii.ac.jp:00007332, author = {橋爪, 邦夫}, issue = {45}, journal = {近畿大学工学部研究報告, Research reports of the Faculty of Engineering, Kinki University}, month = {Dec}, note = {[Synopsis] 0The alignment of the electron spin with the external magnetic field give rise to paramagnetism. Whereas, the orbital motions of the electrons give rise to diamagnetism. In this paper we consider the idealized problem of a free spinless electron gas in an external magnetic field H=H^^z . A free electron moves in a circular orbital quantized normal to the uniform magnetic field with the cycrotron frequency ω=<—eμ_0H>/m. The energy eigenvalues in two-dimesional electron system E_j =hω_0(j+1/2)=βH(2j+1) (j=0,1,2,・・・) are the Landau energy levels. β is a Bohr magneton. g=<—eμ_0H>/hL^2 is the degeneracy of a Landau level . In the low-temperature limit of electron in Landau levels, the electrons have a tendency to occupy the lowest available levels. As the magnetic field is decrease, each Landau level can accommodate fewer electrons because the degeneracy g is decreased. Consequently, some electrons will be forced to jump up to a higher level. This cause the oscillation of the low-temperature magnetic susceptibility X_m as a inverse function of the magnetic field 1/H. The magnetization M also oscillates as a function of the magnetic field. We call these phenomena the de Haas-Van Alphen effect., application/pdf}, pages = {123--132}, title = {〈ノート〉多体問題とグリーン関数との関係の研究--グリーン関数と多体問題(19)量子統計力学(11)}, year = {2011}, yomi = {ハシズメ, クニオ} }