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The groupoid of bifractional transformations

Agyo, Sanfo D.
; 
Lei, Ci
; 
Publication Date
2017-05
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Keywords
Coherent states, Fractional Fourier transformations, Quantum noise, Carbo dioxide, Correlation functions
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© 2017 AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.
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Yes
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openAccess
Accepted for publication
2017-05
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Engineering and Digital Technology Publications
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Abstract
Bifractional transformations which lead to quantities that interpolate between other known quantities are considered. They do not form a group, and groupoids are used to describe their mathematical structure. Bifractional coherent states and bifractional Wigner functions are also defined. The properties of the bifractional coherent states are studied. The bifractional Wigner functions are used in generalizations of the Moyal star formalism. A generalized Berezin formalism in this context is also studied.
URI
http://hdl.handle.net/10454/12110
Version
Accepted manuscript
Citation
Agyo S, Lei C and Vourdas A (2017) The groupoid of bifractional transformations. Journal of Mathematical Physics. 58.
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Link to Version of Record
https://doi.org/10.1063/1.4983917
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Article
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