More on rotations as spin matrix polynomials

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Any nonsingular function of spin j matrices always reduces to a matrix polynomial of order 2j. The challenge is to find a convenient form for the coefficients of the matrix polynomial. The theory of biorthogonal systems is a useful framework to meet this challenge. Central factorial numbers play a key role in the theoretical development. Explicit polynomial coefficients for rotations expressed either as exponentials or as rational Cayley transforms are considered here. Structural features of the results are discussed and compared, and large j limits of the coefficients are examined.

Original languageEnglish (US)
Article number091703
JournalJournal of Mathematical Physics
Volume56
Issue number9
DOIs
StatePublished - 2015

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint Dive into the research topics of 'More on rotations as spin matrix polynomials'. Together they form a unique fingerprint.

Cite this