Mori-Zwanzig Equations With Time-Dependent Liouvillian

2007/09/10 by Louis‐S. Bouchard, Louis-S. Bouchard, Bouchard, Louis-S. · 1 citation
Mathematics · Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Fractional Differential Equations Solutions #Nonlinear Waves and Solitons #Theoretical and Computational Physics #physics.atom-ph #physics.chem-ph

paper · pdf · doi:10.48550/arxiv.0709.1358

arxiv created 2007/09/10 · openalex publication_date 2007/09/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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