On rotations as spin matrix polynomials

Thomas Curtright, T. S. Van Kortryk

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Recent results for rotations expressed as polynomials of spin matrices are derived here by elementary differential equation methods. Structural features of the results are then examined in the framework of biorthogonal systems, to obtain an alternate derivation. The central factorial numbers play key roles in both derivations.

Original languageEnglish (US)
Article number025202
JournalJournal of Physics A: Mathematical and Theoretical
Volume48
Issue number2
DOIs
StatePublished - Jan 16 2015

Fingerprint

Matrix Polynomial
polynomials
Differential equations
derivation
Polynomials
Biorthogonal System
Factorial
matrices
Alternate
differential equations
Differential equation
Polynomial
Framework

Keywords

  • Angular momentum
  • Rotations
  • Spin

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Modeling and Simulation
  • Statistics and Probability

Cite this

On rotations as spin matrix polynomials. / Curtright, Thomas; Van Kortryk, T. S.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 48, No. 2, 025202, 16.01.2015.

Research output: Contribution to journalArticle

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