Ladder operators approach to representation classi cation problem for Jordan-Schwinger image of su(2) algebra
https://doi.org/10.17586/2220-8054-2022-13-3-299-307
Abstract
The eigenvalues of the complete commuting set of self-adjoint operators determine the classi cation of states. We construct a classi cation for the image of the Jordan-Schwinger mapping of the su (2) algebra. We use the ladder operator approach to construct a canonical basis of irreducible representations and de ne the self-adjoint operators of the complete commuting set.
About the Authors
G. V. Tushavin
ITMO University
Russian Federation
Russian Federation
E. V. Zaitseva
ITMO University
Russian Federation
Russian Federation
A. I. Trifanov
ITMO University
Russian Federation
Russian Federation
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Review
For citations:
Tushavin G.V., Zaitseva E.V., Trifanov A.I. Ladder operators approach to representation classi cation problem for Jordan-Schwinger image of su(2) algebra. Nanosystems: Physics, Chemistry, Mathematics. 2022;13(3):299-307. https://doi.org/10.17586/2220-8054-2022-13-3-299-307
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