Statistical properties of linear Majorana fermions

TL;DR

This paper explores the Shannon entropy and thermodynamic properties of linear Majorana fermions under external linear potentials, revealing how these properties are affected by such potentials.

Contribution

It introduces an analysis of Shannon's entropy and thermodynamics for Majorana fermions influenced by linear potentials, a novel approach in the study of these particles.

Findings

Shannon's entropy is modified by the linear potential.

Thermodynamic properties are affected by the external potential.

The study provides insights into the behavior of Majorana fermions under external influences.

Abstract

A Majorana fermion is the single fermionic particle that is its own antiparticle. Its dynamics is determined by the Majorana equation, where the spinor field is by definition equal to its charge-conjugate field. In this paper, we investigated Shannon's entropy of linear Majorana fermions to understand how this quantity is modified due to an external potential of the linear type linear. Subsequently, we turn our attention to the construction of an ensemble of these Majorana particles to study the thermodynamic properties of the model. Finally, we show how Shannon's entropy and thermodynamic properties are modified under the linear potential action.