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Imagine there exists a third type of particle which can share a single-particle state with one...

Imagine there exists a third type of particle which can share a single-particle state with one other particle of the same type but no more. There is a system in contact with a reservoir of the particles, which are allowed to move back and forth to the system. There is a single energy level available in the system. When a particle occupies this level, its energy is ε.

  1. What are the the possible states of the system, and what is the energy and number of particles for each state?

  2. Calculate the average number of particles in the system, the occupancy n(ε) of this system.

  3. As the temperature approaches 0, what is the occupancy of the system and why does this make sense?

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