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The su(n) Lie algebraic structures in the Pegg-Barnett quantization formulation

Jian-Qi Shen
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Abstract

We investigate the oscillator algebra of the Pegg-Barnett oscillator with a finite-dimensional number-state space and show that it possesses the su($n$) Lie algebraic structure. In addition, a so-called supersymmetric Pegg-Barnett oscillator is suggested, and the related topics such as the algebraic structure and particle occupation number of the Pegg-Barnett oscillator are briefly discussed.

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Jian-Qi Shen. 2003-11-08. The su(n) Lie algebraic structures in the Pegg-Barnett quantization formulation. https://arxiv.org/abs/quant-ph/0311045

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