Bi-fractional Wigner functions

30th International Colloquium on Group Theoretical Methods in Physics

Agyo, S.^1 ; Lei, C.^1 ; Vourdas, A.^1

Department of Computing, University of Bradford, Bradford

BD7 1DP, United Kingdom^1

关键词: Coherent state;    Displacement operators;    Fractional Fourier transforms;    Parity operators;    Two parameter;    Weyl functions;    Wigner functions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012007/pdf
DOI  :  10.1088/1742-6596/597/1/012007

来源: IOP

【 摘 要 】

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.