# Tagged: Riemann Zeta Function

# Primon Gas

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:

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