1. (a) Consider a Debye solid and derive an expression for the total number of phonons in a Debye solid as a function of temperature T. (b) Now, calculate the average energy per phonon (total energy divided by the number of phonons) in the Debye solid in the limit of low temperatures.
1. (a) Consider a Debye solid and derive an expression for the total number of phonons in a Debye solid as a function of temperature T. (b) Now, calculate the average energy per phonon (total energy divided by the number of phonons) in the Debye solid in the limit of low temperatures.
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