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.
Cite this paper
E. Ugwu and M. Echi, "Analytical Study of Band Structure of Material Using Relativistic Concept," Applied Mathematics
, Vol. 4 No. 9, 2013, pp. 1287-1289. doi: 10.4236/am.2013.49173
 N. M. Aschroft and N. D. Mermin, “Solid State Physics Holt,” Rinehart and Winston, 1976.
 P. M. Marcus, J. F. Janak and A. R. Williams, “Computa tional Methods in Band Theory,” Plenum Press, New York, 1971. doi:10.1007/978-1-4684-1890-3
 B. Alder, S. Fernbach and M. Rotenburg, “Methods in Computational Physics,” Energy Band in Solids, Vol. 8B Academic Press, New York, 1968.
 F. I. Ezema, A. B. C. Ekwealor and R. U. Osuji, Turkish Journal of Physics, Vol. 30, No. , 2006, pp. 157-163.
 T. Suziki, H. Kitazawa, M. Era, I. Ogoro, H. Shida, A. Yanase and T. Kasuya, “” Proceding of 4th International Conference on Crystal Field and Structural Effect in Electron System, 1981.
 T. Kasuya, In: T. Moriy, Ed., Electron Correlation and Magnetism in Narrow-Band Systems, Springer-Verlag Heidelberg; 1981, pp. 237-255.
 W. A. Harrison, “Pseudopotentials in the Theory of Metals Benjamin,” New York, 1966.
 J. Zak, “The Irreducible Representations of Space Groups,” New York, Amsterdam, 1969.
 G. W. Pratt and L. G. Ferreira, “Physics of Semiconductor,” Dunod, Paris, 1964, p. 69.
 L. E. Jonson, J. B. Conklin and G. N. Pratt, Physical Review Letters, Vol. 11, No. 53, 1963.
 J. Williams and H. M. Norman, “Theoretical Solid State Physics,” Dover Publication, Inc., New York, 1974.