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2017-05Keyword
Coherent statesFractional 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.Peer-Reviewed
YesOpen Access status
openAccessAccepted for publication
2017-05
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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.Version
Accepted manuscriptCitation
Agyo S, Lei C and Vourdas A (2017) The groupoid of bifractional transformations. Journal of Mathematical Physics. 58.Link to Version of Record
https://doi.org/10.1063/1.4983917Type
Articleae974a485f413a2113503eed53cd6c53
https://doi.org/10.1063/1.4983917