Today I’m going to be talking about an interesting little toy model in statistical mechanics – the Primon Gas.
Consider a physical system with a discrete energy spectrum
Each energy in the spectrum corresponds to a particle with that energy. If we second quantize this system, we obtain a creation operator for each of these particles. Using these operators, we can act on a vacuum state (zero energy state), denoted , to obtain new states. We get the following ‘tower’ of states with corresponding energies: