q-oscillator representations of Hermitian braided matrices

M. Arik; A. Yildiz

doi:10.1088/0305-4470/30/9/001

q-oscillator representations of Hermitian braided matrices

M. Arik^*, A. Yildiz

^*Corresponding author for this work

Bogazici University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Representations of the braided algebra of BM_q(2) in a Hubert space are constructed. The generators of this algebra are expressed in terms of two independent q-oscillators. It is shown that, apart from a factor of U(1), these generators reduce to the ordinary angular momentum algebra generators in the q → 1 limit.

Original language	English
Pages (from-to)	L255-L262
Journal	Journal of Physics A: Mathematical and General
Volume	30
Issue number	9
DOIs	https://doi.org/10.1088/0305-4470/30/9/001
Publication status	Published - 7 May 1997
Externally published	Yes

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10.1088/0305-4470/30/9/001

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title = "q-oscillator representations of Hermitian braided matrices",

abstract = "Representations of the braided algebra of BMq(2) in a Hubert space are constructed. The generators of this algebra are expressed in terms of two independent q-oscillators. It is shown that, apart from a factor of U(1), these generators reduce to the ordinary angular momentum algebra generators in the q → 1 limit.",

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AB - Representations of the braided algebra of BMq(2) in a Hubert space are constructed. The generators of this algebra are expressed in terms of two independent q-oscillators. It is shown that, apart from a factor of U(1), these generators reduce to the ordinary angular momentum algebra generators in the q → 1 limit.

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q-oscillator representations of Hermitian braided matrices

Abstract

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