Thermodynamics of quasianti-Hermitian quaternionic systems

TL;DR

This paper explores the thermodynamics of quasianti-Hermitian quaternionic systems, introducing a toy model, analyzing energy fluctuations, negative temperatures, and providing physical explanations within quantum physics.

Contribution

It presents a novel study of quaternionic systems' thermodynamics, including a new toy model and analysis of energy fluctuations and negative temperatures.

Findings

Energy fluctuations decrease with large N

Negative temperatures are possible in these systems

A physical example illustrates the theoretical concepts

Abstract

Thermodynamics of quasianti-Hermitian quaternionic systems with constant number of particles in equilibrium is studied. A toy model is introduced and the physically relevant quantities are derived. The energy fluctuation which shows that for large N the relative r.m.s fluctuation in the values of E is quite negligible is derived. The negative temperature for such systems is also studied. Finally a physical example is discussed and physical explanations in the context of quantum physics are given.