An algebraic projection procedure for construction of the basis vectors of irreducible representations of U(4) in the Su S (2) ⊗ su T (2) basis
Document Type
Article
Publication Date
7-1-2023
Abstract
An effective algebraic spin–isospin projection procedure for constructing basis vectors of irreducible representations of U(4) ⊃ SU S (2) ⊗ SU T (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 S (2) ⊗ SU T (2) reduced matrix elements of U(4) generators are derived. Hence, matrix representations of U(4) in the noncanonical SU S (2) ⊗ SU T (2) basis are determined completely.
Publication Source (Journal or Book title)
European Physical Journal Plus
Recommended Citation
Pan, F., Wu, Y., Li, A., Zhang, Y., Dai, L., & Draayer, J. (2023). An algebraic projection procedure for construction of the basis vectors of irreducible representations of U(4) in the Su S (2) ⊗ su T (2) basis. European Physical Journal Plus, 138 (7) https://doi.org/10.1140/epjp/s13360-023-04261-1