# 13.5: Quantum Linear Response Theory


Consider again the Hamiltonian for a system coupled to a time-dependent field

$H = H_0 - BF_e(t) \nonumber$

We wish to solve the quantum Liouville equation

$i\hbar {\partial \rho \over \partial t} = [H,\rho] \nonumber$

in the linear regime where $$F_e(t)$$ is small.

This page titled 13.5: Quantum Linear Response Theory is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Mark Tuckerman.