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|Title:||Derivation of the reflection principle in continuum resonance Raman scattering||Authors:||Lee, S.-Y.||Issue Date:||19-Feb-1993||Citation:||Lee, S.-Y. (1993-02-19). Derivation of the reflection principle in continuum resonance Raman scattering. Chemical Physics Letters 203 (2-3) : 93-98. ScholarBank@NUS Repository.||Abstract:||We prove the reflection principle in continuum resonance Raman scattering as stated recently by Kolba, Manz, Schreier and Trisca. For a Stokes (or anti-Stokes) transition, the nodal pattern of the coordinate or momentum representation of the initial wavefunction |i> (or final wavefunction |f>) is mapped on the time-dependent overlap |<f;|i(t)>|. An interesting aspect of the proof is the use of all three approaches to Raman scattering: the Kramers-Heisenberg-Dirac sum-over-states approach, the Lee-Heller time-dependent approach, and the Hizhnyakov-Tehver transform method. We also derive new expressions for the resonance Raman scattering amplitude and associated correlation function in terms of the Rayleigh scattering amplitude and associated autocorrelation function. A new algorithm using a fast Fourier transform to implement the Hizhnyakov-Tehver transform method for fundamental Raman excitation profiles is also discussed. © 1993.||Source Title:||Chemical Physics Letters||URI:||http://scholarbank.nus.edu.sg/handle/10635/75863||ISSN:||00092614|
|Appears in Collections:||Staff Publications|
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