## Quantum theory of coherent Raman and coherent hyper-Raman scattering |

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### Contents

A Introduction | 7 |

Doppler Line Shape | 32 |

Rotational Correlation Functions | 38 |

10 other sections not shown

### Common terms and phrases

angular momentum background contribution calculation CARS band center of mass Chapter circular intensity differentials coherent anti-Stokes coherent hyper-Raman process coherent hyper-Raman scattering coherent Raman process coherent Raman scattering coherent Raman transition components correlation function CSRS defined derived describe coherent dipole and electric Doppler lineshape Doppler profile Doppler width double Raman eigenstates electric quadrupole interactions energy eigenvalues ensemble average evaluate evolution operator factor frequency fully quantum mechanical Hamiltonian hyperpolarizability ideal gas identical incident beams isotropic isotropic tensor Kronecker delta linear linearly polarized liquid lowest order magnetic dipole matrix elements molecular molecule momentum conservation condition N-molecule neglected one-molecule optical activity perturbation polarizability polarizability approximation polarization experiments polarization vectors quantity quantum mechanical radiation field Raman optical activity Raman transition rate expression RCARS replace resonance denominator respectively sample scattering intensity selection rules spectrum spontaneous process spontaneous Raman scattering symmetric tion transition amplitude transition polarizability Ursell function VHH experiment wave vector