Adaption of Collins formula to fractional Fourier transform studied in the entangled state representation of quantum optics

DOI10.1080/09500340802130753zbMath1151.78336OpenAlexW2036254116MaRDI QIDQ3543545

Li-Yun Hu, Hong-Yi Fan

Publication date: 4 December 2008

Published in: Journal of Modern Optics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09500340802130753

zbMATH Keywords

fractional Fourier transformentangled state representationFresnel operatorCollins diffraction formula

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Quantum optics (81V80) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (5)

New relation between input and output fields based on Collins diffraction formula and the Wigner function in entangled state representation ⋮ Expectation value theorem for thermo vacuum states of optical chaotic field and negative-binomial field ⋮ Relation between optical Fresnel transformation and quantum tomography in two-mode entangled case ⋮ Fresnel–Hadamard complementary transformation in quantum optics ⋮ WEYL CORRESPONDENCE FORMALISM FOR DESCRIBING ELECTRON UNDER UNIFORM MAGNETIC FIELD STUDIED BY VIRTUE OF THE ENTANGLED STATE REPRESENTATION

Cites Work

• Newton-Leibniz integration for ket-bra operators in quantum mechanics and derivation of entangled state representations
• 2-mode Fresnel operator and entangled Fresnel transform
• Wavelet transform in the context of quantum mechanics and new orthogonal property of mother wavelets in parameter space
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics

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