Note on the Minimum Weight States in the su(2)-Algebraic Many-Fermion Model --- Extension of the Role of the Auxiliary su(2)-Algebra ---
Y. Tsue (Kochi Univ., Japan), C. Providencia (Univ. de Coimbra,, Portugal), J. da Providencia (Univ. de Coimbra, Portugal), M. Yamamura, (Kansai Univ., Japan)
TL;DR
This paper extends the auxiliary su(2)-algebra's role in fully determining minimum weight states in a many-fermion model, introducing new insights and examples to enhance understanding of the algebraic structure.
Contribution
It introduces an extended role for the auxiliary su(2)-algebra, providing a more complete method to determine minimum weight states in the model.
Findings
New scalar operators for the auxiliary algebra are constructed.
The extended scheme offers a clearer understanding of minimum weight states.
Simple examples illustrate the extended approach.
Abstract
The role of the auxiliary su(2)-algebra proposed by the present authors in the latest paper is extended. Its aim is to determine the minimum weight states completely. With the aid of scalar operators for the auxiliary algebra, new aspects are added to the minimum weight states in the aligned scheme discussed in the latest paper. Some simple examples are shown.
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