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The Pegg-Barnett oscillator and its supersymmetric generalization

Jian Qi Shen
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Abstract

The oscillator algebra of Pegg-Barnett (P-B) oscillator with a finite-dimensional number-state space is investigated in this note. It is shown that the Pegg-Barnett oscillator possesses the su($n$) Lie algebraic structure. Additionally, we suggest a so-called supersymmetric P-B oscillator and discuss the related topics such as the algebraic structure and particle occupation number of supersymmetric P-B oscillator.

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Jian Qi Shen. 2004-03-01. The Pegg-Barnett oscillator and its supersymmetric generalization. https://arxiv.org/abs/quant-ph/0403011

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