On rotations as spin matrix polynomials

T L Curtright; T S Van Kortryk

doi:10.1088/1751-8113/48/2/025202

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On rotations as spin matrix polynomials

T L Curtright and T S Van Kortryk

Journal of physics. A, Mathematical and theoretical, Vol.48(2), pp.25202-14

2014-12-11

DOI: https://doi.org/10.1088/1751-8113/48/2/025202

Abstract

rotations

spin

angular momentum

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.

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Citation topics: 9 Mathematics; 9.28 Pure Maths; 9.28.1228 Stirling Numbers
Web Of Science research areas: Physics, Mathematical; Physics, Multidisciplinary
ESI research areas: Physics

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Details

Title: On rotations as spin matrix polynomials
Creators: T L Curtright - University of Miami Coral Gables Department of Physics, FL 33124-8046, USA
T S Van Kortryk - University of Miami Coral Gables Department of Physics, FL 33124-8046, USA
Publication Details: Journal of physics. A, Mathematical and theoretical, Vol.48(2), pp.25202-14
Publisher: IOP Publishing
Number of pages: 14
Grant note: PHY-1214521 / Division of Physics (10.13039 100000166)
Academic Unit: College of A&S; A&S - Physics
Language: English
Resource Type: Journal article
Record Identifier: 991031575947002976