https://doi.org/10.1140/epjp/s13360-023-04261-1
Regular Article
An algebraic projection procedure for construction of the basis vectors of irreducible representations of U(4) in the Su
(2)
su
(2) basis
1
Department of Physics, Liaoning Normal University, 116029, Dalian, China
2
Department of Physics and Astronomy, Louisiana State University, 70803-4001, Baton Rouge, USA
3
Department of Physics, School of Science, Huzhou University, Huzhou, 313000, Zhejiang, China
Received:
11
May
2023
Accepted:
6
July
2023
Published online:
28
July
2023
An effective algebraic spin–isospin projection procedure for constructing basis vectors of irreducible representations of U(4)
SU(2)SU(2) from those in the canonical U(4)U(3)U(2)U(1) basis is proposed. It is shown that the expansion coefficients are components of null space vectors of the spin–isospin projection matrix. Explicit formulae for evaluating SU(2)SU(2) reduced matrix elements of U(4) generators are derived. Hence, matrix representations of U(4) in the noncanonical SU(2)SU(2) basis are determined completely.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
