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arxiv: 0709.1358 · v2 · submitted 2007-09-10 · ⚛️ physics.chem-ph · physics.atom-ph

Mori-Zwanzig Equations With Time-Dependent Liouvillian

classification ⚛️ physics.chem-ph physics.atom-ph
keywords coherentequationsliouvillianmori-zwanzigtime-dependentallowsapproximationsaveraging
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We extend the Mori-Zwanzig equations to the case where the Liouvillian is time-dependent by way of a Dyson identity due to Holian and Evans. This extension makes it possible to treat, for example, more general cases of continuous-wave (cw) or pulsed irradiation in NMR and coherent optics. The formalism immediately allows for reference frame changes and approximations based on coherent averaging.

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