Quantum chemists we are seldom concern with phenomena involving variations in the number of particles, so they do not need to resort to quantum field theories to lay the foundations of their work (one exception are certain spectroscopic phenomena with require a quantum description of electromagnetic radiation). The standard quantum mechanic theory for material particles is then a sufficient bas...

We consider both the bosonic and fermionic second quantization of spectral triples in presence a chemical potential. show that von Neumann entropy average energy Gibbs state defined by grand partition function can be expressed as actions. It turns out all action coefficients given terms modified Bessel functions. In case, we for entropy, limit when potential μ approaches 0, Riemann zeta functio...