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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
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
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
Linking options:
https://www.mathnet.ru/eng/nano1111 https://www.mathnet.ru/eng/nano/v13/i3/p299
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Abstract page: | 47 | Full-text PDF : | 24 |
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