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Quantum linear response theory

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

    \[H = H_0 - BF_e(t)\]

    We wish to solve the quantum Liouville equation

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

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

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