Bi-fractional Wigner functions. (March 2015)

• Record Type: Journal Article
• Authors: Agyo, S; Lei, C; Vourdas, A
• Is Part Of: Journal of physics. Number 597 (2015)
• Publication Date: 2015-03
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/597/1/012007
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: Two fractional Fourier transforms are used to define bi-fractional displacement operators, which interpolate between displacement operators and parity operators. They are used to define bi-fractional coherent states. They are also used to define the bi-fractional Wigner function, which is a two-parameter family of functions that interpolates between the Wigner function and the Weyl function. Links to the extended phase space formalism are also discussed.