- #1

Nico045

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Hello, I am stuck at the beginning of an exercise because I have some trouble to understand how are the energy level in this problem :

In a crystal we have Ni

H

C is a constant >0

- I need to know the energy level of each ion and the eigenstates.

After that, we add a magnetic field B oriented on the z axis (in interaction with the ion) which is given by the hamiltonian :

H

- Here again I have to find the levels of energy for H = H

In a crystal we have Ni

^{2+}ions that we consider independent and they are submitted to an axial symmetry potential. Each ion acts as a free spin S=1. We have the hamiltonian :H

_{0}=C(S_{z}^{2}-S^{2}/3)C is a constant >0

- I need to know the energy level of each ion and the eigenstates.

After that, we add a magnetic field B oriented on the z axis (in interaction with the ion) which is given by the hamiltonian :

H

_{1}=2u_{B}BS_{z}- Here again I have to find the levels of energy for H = H

_{0}+H_{1}