English

Entropic inequalities for matrix elements of rotation group irreducible representations

Quantum Physics 2015-11-24 v1

Abstract

Using the entropic inequalities for Shannon and Tsallis entropies new inequalities for some classical polynomials are obtained. To this end, an invertible mapping for the irreducible unitary representation of groups SU(2)SU(2) and SU(1,1)SU(1,1) like Jacoby polynomials and Gauss' hypergeometric functions, respectively, are used.

Keywords

Cite

@article{arxiv.1511.07341,
  title  = {Entropic inequalities for matrix elements of rotation group irreducible representations},
  author = {V. I. Man'ko and L. A. Markovich},
  journal= {arXiv preprint arXiv:1511.07341},
  year   = {2015}
}

Comments

9 pages, 2 figures