Eur. Phys. J. B (2016) 89: 283
https://doi.org/10.1140/epjb/e2016-70500-1

Regular Article

General expressions for the matrix elements of the tight-binding operator within the Racah-Wigner algebra^*

Physikalisches Institut, Universität zu Köln, Zülpicher Str. 77, 50937 Köln, Germany

^a e-mail: moeller@ph1.uni-koeln.de

Received: 26 August 2016
Received in final form: 28 October 2016
Published online: 21 December 2016

Abstract

General expressions for the matrix elements of the tight-binding operator are presented using the Racah-Wigner algebra, where the wave functions are expressed as coupled multiplet wave functions within a given angular momentum coupling scheme. The knowledge of all possible Slater determinants is not necessary and the matrix elements can be written as compact expressions computable with arbitrary accuracy.