Quantum Mechanical Derivation of Energy-Temperature Coupling.

Abstract : Arguments have been advanced to invalidate direct energy-temperature relationships in hydrodynamic calculations when large pressure or volume gradients are present in the media. A theoretical derivation of the relationship between energy and temperature yields a coupling of energy and temperature with entropy, dependent only upon the number of accessible quantum mechanical states in the system. This derivation proves that even in the presence of large pressure and volume gradients, energy and temperature are still coupled. The derivation does not depend on specific heats or heat capacities. (Author)