Mathematical-Physics Investigation on the Behaviour of a Metamagnetic System

TLDR: In this paper, a finite itinerant-electron metamagnetic gas at sufficiently low absolute temperature is considered, and the electronic energy of the abovementioned gas is derived in relation to the Fermi levels of the spin-up and spin-down electron bands.

Abstract: Abstract In order to exemplify, we consider a finite itinerant-electron metamagnetic gas at sufficiently low absolute temperature so that relevant new results are obtained. In fact, we study key aspects related to derive the electronic energy of the abovementioned metamagnetic gas in relation to the Fermi levels of the spin-up and spin-down electron bands and in relation to the exchange energy and magnetic susceptibility. Within an unprecedented mathematical–physics approach, the abovementioned electronic energy is reinterpreted by defining it as an averaged quantity from the corresponding nonrelativistic, time-independent, Schrödinger equation with two-band energy-eigenvalue spectrum. In parallel, a matrix formulation is presented.