The discussion centers on Landau diamagnetism in free electron gas and the absence of a spin-magnetic field interaction term in the electron's Hamiltonian. Participants clarify that the Hamiltonian primarily includes kinetic energy terms, as any spin-magnetic interaction would lead to paramagnetic behavior, which is negligible compared to the diamagnetic response. The conversation also touches on the de Haas-van Alphen oscillations, emphasizing that the complete Hamiltonian must account for both the electron spin magnetic moment and kinetic energy in relation to the applied magnetic field.
PREREQUISITESPhysicists, students of quantum mechanics, and researchers interested in the behavior of electrons in magnetic fields will benefit from this discussion.
The answer is apparently. A more complete approach will also explain the deHaas-Van Alphen oscillations. (The diamagnetic susceptibily oscillates as a function of applied field ## H ##.) I am no expert on the subject of diamagnetism, but I have seen it in a couple of courses that I took.chikou24i said:Thanks sir for your responce, but what I want to know why the term of spin-magnetic field interaction doesn't appear in the hamiltonian of the electron. is it because it is so small in front of the kinetic energy for example ?
I suppose this is a simplification to explain some special feature, but without you giving us some reference for your claim it is hard to say.chikou24i said:Hi, in the case of free electrons gas under the effect of a magnetic field. The hamiltonian of an electron doesn't contain a term of Spin-Magnetic field interaction this means that it contains just the kinetic energy terms. Why is that ?