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Novel Implications of the q-Analogue Coherent States

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Abstract

In his pioneering 1989 paper1 on the q-oscillator realization of quantum algebras,2 Larry Biedenharn also defined the q-analogue coherent states lz>q and pointed out the physically important property that the ΔQ ΔP uncertainty relation increases with n in the number basis ln>q for q ≠ 1. In this paper, we will review (i) the use of these q-analogue coherent states to investigate the properties of the q-analogue quantized field in the lz>q “classical limit” paralleling conventional quantum optics analyses, and review (ü) the fractional uncertainties and uncertainty relations of various physical quantities characterizing the q-analogue quantized field in this limit.

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© 1993 Springer Science+Business Media New York

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Nelson, C.A. (1993). Novel Implications of the q-Analogue Coherent States. In: Gruber, B. (eds) Symmetries in Science VI. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1219-0_44

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  • DOI: https://doi.org/10.1007/978-1-4899-1219-0_44

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1221-3

  • Online ISBN: 978-1-4899-1219-0

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