liouville Definition and 1 Threads

Joseph Liouville ( LEE-oo-VIL, French: [ʒozɛf ljuvil]; 24 March 1809 – 8 September 1882) was a French mathematician and engineer.

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    A Liouville space and nonlinear optical spectrosopy -- deriving the the second order nonlinear optical signal

    P119, Mukamel's book "Principles of Nonlinear Optical Spectroscopy" Eq.(5.21) in Liouville space $$ S^{(2)}(t_2,t_1)=\left(\frac{i}{\hbar}\right)^2 \left\langle \left\langle V\left|\mathscr{G}(t_2)\mathscr{V}\mathscr{G}(t_1)\mathscr{V}\right|\rho(-\infty) \right\rangle\right\rangle $$ in...
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