dorsal/arxiv
View SchemaInhomogeneous boson realizations of the polynomial angular momentum algebra of arbitrary power
| Authors | Dong Ruan, Yufeng Jia, Hongzhou Sun |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111007 |
| URL | https://arxiv.org/abs/quant-ph/0111007 |
Abstract
The inhomogeneous single-, two- and three-boson realizations of the more general polynomial angular momentum algebra SU_n(2) are obtained from the Fock representations of SU_n(2) that corresponds to the indecomposable representation on the space of universal enveloping algebra U(SU_n(2)) and to the induced representations on the quotient spaces U(SU_n(2))/I_i, with I_i being some left ideals of U(SU_n(2)).
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"date_created": "2026-03-02T18:01:45.848000Z",
"date_modified": "2026-03-02T18:01:45.848000Z",
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"abstract": "The inhomogeneous single-, two- and three-boson realizations of the more\ngeneral polynomial angular momentum algebra SU_n(2) are obtained from the Fock\nrepresentations of SU_n(2) that corresponds to the indecomposable\nrepresentation on the space of universal enveloping algebra U(SU_n(2)) and to\nthe induced representations on the quotient spaces U(SU_n(2))/I_i, with I_i\nbeing some left ideals of U(SU_n(2)).",
"arxiv_id": "quant-ph/0111007",
"authors": [
"Dong Ruan",
"Yufeng Jia",
"Hongzhou Sun"
],
"categories": [
"quant-ph"
],
"title": "Inhomogeneous boson realizations of the polynomial angular momentum algebra of arbitrary power",
"url": "https://arxiv.org/abs/quant-ph/0111007"
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