CLASSICAL OPTICAL TRANSFORMS STUDIED IN THE CONTEXT OF QUANTUM OPTICS VIA THE ROUTE OF DEVELOPING DIRAC'S SYMBOLIC METHOD

DOI10.1142/S0217979205029389zbMath1067.81586MaRDI QIDQ4680712

Hailiang Lu, Hong-Yi Fan

Publication date: 7 June 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

Talbot effectIWOP techniquefractional Hankel transformcomplex wavelet transformDirac's symbolic methodz-transformfractional Radon transformCollins formulacomplex fractional Fourier transformcomplex Wigner transformEigenvectors of creation operatorentangled Fresnel transformentangled state of continuum variablesGeneralized Fresnel operatornew eigenmodes of fractional Fourier transform

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Quantum optics (81V80) Lasers, masers, optical bistability, nonlinear optics (78A60) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

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Cites Work

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