Fermi Gas in Pathria | Magnetic Field & Maxwell Boltzman Statistics

[shadi_s10]

Hi again!
another question!

I statistical mechnics by Pathria, it has all about the fermi gas in a magnetic field in chapter8

I have another question
what if the electron was in some boundaries?
what would change then about magnetization of grand partition function?
For example for an electron in an atom which is BOUND TO THE NUCLEUS
or what if we have used maxwell boltzman statistics instead of fermi dirac for and electron gas?
what would happen the?


please help!
I'm sooooooooooo confused!

 

[NateD]

If the electron is bound to the nucleus, then it will not be affected by the magnetic field and the magnetization of the grand partition function will remain unchanged. However, if we use Maxwell-Boltzmann statistics instead of Fermi-Dirac for an electron gas, then the magnetization of the grand partition function will be different due to the different statistical distributions. Specifically, the magnetization will be lower in the case of Maxwell-Boltzmann statistics than in the Fermi-Dirac case.