Mori-Zwanzig Equations With Time-Dependent Liouvillian
Louis-S. Bouchard
TL;DR
This paper extends the Mori-Zwanzig equations to include time-dependent Liouvillians, enabling analysis of systems under continuous or pulsed irradiation, with applications in NMR and optics.
Contribution
It introduces a Dyson identity-based extension of Mori-Zwanzig equations for time-dependent Liouvillians, broadening their applicability.
Findings
Allows treatment of systems with time-dependent Liouvillians
Enables reference frame changes and coherent averaging approximations
Facilitates analysis of NMR and optical systems under various irradiation conditions
Abstract
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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Taxonomy
TopicsFractional Differential Equations Solutions · Nonlinear Waves and Solitons · Theoretical and Computational Physics