• Corpus ID: 118869577

Matrices, bases and matrix elements for cubic double crystallographic groups

  title={Matrices, bases and matrix elements for cubic double crystallographic groups},
  author={Oleg Chalaev},
  journal={arXiv: Materials Science},
  • O. Chalaev
  • Published 1 June 2012
  • Mathematics
  • arXiv: Materials Science
Matrices of the irreducible representations of double crystallographic point groups O, Td, Ox{1,I} and Tdx{1,I} are derived. The characteristic polynomials (spinor bases) up to the sixth power are obtained. The method for the derivation of the general form of an arbitrary matrix element of a vector/tensor quantity is developed; as an application, the kp matrix elements are calculated. It is demonstrated that the other known method for obtaining the bases of the irreducible representations of… 

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