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

Language: English

DOI: 10.17586/2220-8054-2022-13-3-299-307

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