Open AccessAnalytical Study of Band Structure of Material Using Relativistic Concept
Author(s) -
E. I. Ugwu,
M. I. Echi
Publication year - 2013
Publication title -
applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2152-7393
pISSN - 2152-7385
DOI - 10.4236/am.2013.49173
Subject(s) - degeneracy (biology) , electronic band structure , physics , dirac (video compression format) , dirac equation , coupling (piping) , spin (aerodynamics) , relativistic quantum chemistry , term (time) , spin–orbit interaction , quantum electrodynamics , theoretical physics , mathematical physics , quantum mechanics , materials science , thermodynamics , bioinformatics , neutrino , metallurgy , biology
In this paper, we present the study of band structure relativistically. Here, Dirac equation is formulated from Hamilto-nian in which the formulation is found to contain a correction term known as spin-orbit coupling given as 
that modifies the non-relativistic expression for the same formulation. This term leads to double spin-degeneracy within the first Brillioun zone which is a concept that is not found in other method of study of band structure of material.