Quantum Theory of Coherent Raman and Coherent Hyper-Raman Scattering |
Common terms and phrases
aabb abab abcd background contribution CARS band center of mass circularly polarized coherent hyper-Raman scattering coherent Raman process coherent Raman scattering components correlation function CSRS defined density matrix derived difference dipole and electric Doppler line shape Doppler profile Doppler width double Raman e₁ eigenstates eigenvalues electric quadrupole interactions electronic energy eigenvalues ensemble average evaluate evolution operator factor fully quantum mechanical Hamiltonian ideal gas integral isotropic isotropic tensor k₁ k₂ beam k₂ photon Kronecker deltas linear lineshape lowest order magnetic dipole matrix elements molecular molecule momentum conservation condition N-molecule neglected nonzero obtain one-molecule perturbation photon polarizability polarizability approximation polarization vectors quantity quantum mechanical Raman transition rate expression RCARS replace resonance denominator rotational sample spectrum symmetric tion transition amplitude transition polarizability Ursell function VHH experiment vibrational VVV experiment w₁ w₂ wave vectors αα Σ Σ