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• W3214707989 abstract "Abstract Despite many years of research into Raman phenomena, the problem of how to include both spontaneous and stimulated Raman scattering into a unified set of partial differential equations persists. The issue is solved by formulating the quantum dynamics in the Heisenberg picture with a rigorous accounting for both time- and normal-ordering of the operators. It is shown how this can be done in a simple, straightforward way. Firstly, the technique is applied to a two-level Raman system, and comparison of analytical and numerical results verifies the approach. A connection to a fully time-dependent Langevin operator method is made for the spontaneous initiation of stimulated Raman scattering. Secondly, the technique is demonstrated for the much-studied two-level atom both in vacuum and in a lossy dielectric medium. It is shown to be fully consistent with accepted theories: using the rotating wave approximation, the Einstein A coefficient for the rate of spontaneous emission from a two-level atom can be derived in a manner parallel to the Weisskopf–Wigner approximation. The Lamb frequency shift is also calculated. It is shown throughout that field operators corresponding to spontaneous radiative terms do not commute with atomic/molecular operators. The approach may prove useful in many areas, including modeling the propagation of next-generation high-energy, high-intensity ultrafast laser pulses as well as spontaneous radiative processes in lossy media." @default.
• W3214707989 created "2021-11-22" @default.
• W3214707989 creator A5070105421 @default.
• W3214707989 date "2021-11-12" @default.
• W3214707989 modified "2023-09-27" @default.
• W3214707989 title "Time-ordering in Heisenberg’s equation of motion as related to spontaneous radiation" @default.
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• W3214707989 doi "https://doi.org/10.1038/s41598-021-01781-7" @default.
• W3214707989 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/8590050" @default.
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