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Nanosystems: Physics, Chemistry, Mathematics, 2022, Volume 13, Issue 3, Pages 299–307
DOI: https://doi.org/10.17586/2220-8054-2022-13-3-299-307 (Mi nano1111) 		 
PHYSICS

Ladder operators approach to representation classification problem for Jordan–Schwinger image of su(2) algebra

Gleb V. Tushavin, Ekaterina V. Zaitseva, Alexander I. Trifanov

ITMO University, Saint Petersburg, Russia
Full-text PDF (293 kB)
DOI: 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 classification of states. We construct a classification 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 define the self-adjoint operators of the complete commuting set.
Keywords: Ladder operators, su(2), Jordan–Schwinger map, representation theory.
Received: 01.05.2022
Revised: 12.06.2022
Accepted: 13.06.2022
Bibliographic databases:
Document Type: Article
Language: English
Citation: Gleb V. Tushavin, Ekaterina V. Zaitseva, Alexander I. Trifanov, “Ladder operators approach to representation classification problem for Jordan–Schwinger image of su(2) algebra”, Nanosystems: Physics, Chemistry, Mathematics, 13:3 (2022), 299–307
Citation in format AMSBIB
\Bibitem{TusZaiTri22}
\by Gleb~V.~Tushavin, Ekaterina~V.~Zaitseva, Alexander~I.~Trifanov
\paper Ladder operators approach to representation classification problem for Jordan--Schwinger image of su(2) algebra
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2022
\vol 13
\issue 3
\pages 299--307
\mathnet{http://mi.mathnet.ru/nano1111}
\crossref{https://doi.org/10.17586/2220-8054-2022-13-3-299-307}
\elib{https://elibrary.ru/item.asp?id=48869261}
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