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Progress of Theoretical Physics

Quantum Electrodynamics with Infinitesimal Nonlinear Interactions

Kan-ichi Yokoyama

Published Feb 1, 1970• 0 citations
Publisher
DOI
10.1143/ptp.43.531

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Progress of Theoretical Physics Vol. 9 No. 6 (1953) pp. 633-662 On the Quantum Theory of Fields Dominique Rivier Progress of Theoretical Physics Vol. 31 No. 1 (1964) pp. 157-159 Two Neutrinos, Parity Nonconservation and Selection Rules of the Weak Interaction among Leptons Kanji Fujii and Hideaki Nagai Progress of Theoretical Physics Vol. 43 No. 2 (1970) pp. 531-551 Quantum Electrodynamics with Infinitesimal Nonlinear Interactions Kan-ichi Yokoyama Progress of Theoretical Physics Vol. 65 No. 3 (1981) pp. 1105-1109 Asymptotic Freedom and Bose Quark Dynamics Shin Ishida, Keisuke Okano and Jun Otokozawa
Progress of Theoretical Physics Vol. 9 No. 6 (1953) pp. 633-662 On the Quantum Theory of Fields Dominique Rivier Progress of Theoretical Physics Vol. 31 No. 1 (1964) pp. 157-159 Two Neutrinos, Parity Nonconservation and Selection Rules of the Weak Interaction among Leptons Kanji Fujii and Hideaki Nagai Progress of Theoretical Physics Vol. 43 No. 2 (1970) pp. 531-551 Quantum Electrodynamics with Infinitesimal Nonlinear Interactions Kan-ichi Yokoyama Progress of Theoretical Physics Vol. 65 No. 3 (1981) pp. 1105-1109 Asymptotic Freedom and Bose Quark Dynamics Shin Ishida, Keisuke Okano and Jun Otokozawa
Issues of a fundamental quantum origin exert a significant effect on the output mode structures in optically parametric processes. An assumption that each frequency conversion event occurs in an infinitesimal volume produces uncertainty in the output wave-vector, but a rigorous, photon-based theory can provide for a finite conversion volume. It identifies the electrodynamic mechanisms operating within the corresponding region of space and time, on an optical wavelength and cycle timescale. Based on quantum electrodynamics, this theory identifies specific material parameters that determine the extent and measure of delocalized frequency conversion, and its equations deliver information on the output mode structures. The results also indicate that a system of optimally sized nanoparticles can display a substantially enhanced efficiency of frequency conversion.