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- Homework Statement
- The system is composed of a set of N non-interacting harmonic oscillators which can be described as a two-dimensional Einstein solid model in the x, y plane. Suppose that each oscillator has mass m and charge q and that there is a magnetic field HH directed along the z direction.

- Relevant Equations
- Compute (when the system at thermal equilibrium at temperature T):

Internal Energy

Magnetization

Specific heat capacity\bigm

I tried to solve it considering the canonical ensemble (since the system is at the equilibrium with temperature T) and started finding the partition function:

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