The q-analogue quantized radiation field and its uncertainty relations

Shao Hsuan Chiu; Robert W. Gray; Charles A. Nelson

doi:10.1016/0375-9601(92)91098-C

The q-analogue quantized radiation field and its uncertainty relations

Shao Hsuan Chiu^*
, Robert W. Gray
, Charles A. Nelson

^*Corresponding author for this work

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

51 Scopus citations

Abstract

The "classical limit" of the q-analogue quantized radiation field is studied paralleling conventional quantum optics analyses. Results for the number-phase uncertainty relations can be q-independent in the number basis. The variance of the generic electric field is found to be ≥ λh{stroke}ω/2ε{lunate}₀V, where λ>1 if q≠1. At large amplitudes, the amplitude itself would be quantized if the available resolution of unity for the q-analogue coherent states is accepted in the formulation.

Original language	English
Pages (from-to)	237-242
Number of pages	6
Journal	Physics Letters A
Volume	164
Issue number	3-4
DOIs	https://doi.org/10.1016/0375-9601(92)91098-C
State	Published - 20 04 1992
Externally published	Yes

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10.1016/0375-9601(92)91098-C

Cite this

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N2 - The "classical limit" of the q-analogue quantized radiation field is studied paralleling conventional quantum optics analyses. Results for the number-phase uncertainty relations can be q-independent in the number basis. The variance of the generic electric field is found to be ≥ λh{stroke}ω/2ε{lunate}0V, where λ>1 if q≠1. At large amplitudes, the amplitude itself would be quantized if the available resolution of unity for the q-analogue coherent states is accepted in the formulation.

AB - The "classical limit" of the q-analogue quantized radiation field is studied paralleling conventional quantum optics analyses. Results for the number-phase uncertainty relations can be q-independent in the number basis. The variance of the generic electric field is found to be ≥ λh{stroke}ω/2ε{lunate}0V, where λ>1 if q≠1. At large amplitudes, the amplitude itself would be quantized if the available resolution of unity for the q-analogue coherent states is accepted in the formulation.

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ER -

The q-analogue quantized radiation field and its uncertainty relations

Abstract

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