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Implicit numerical schemes for the stochastic Liouville equation in Langevin form

By Pär Håkansson and Prasanth B. Nair

Abstract

We present and numerically test implicit as well as explicit numerical schemes for solving the Stochastic Liouville Equation in Langevin form. It is found that implicit schemes provide significant gain in robustness, for example, when nonsecular Hamiltonian terms cannot be ignored in electron and nuclear spin resonance. Implicit schemes open up several spectroscopic relaxation problems for direct interpretation using the Stochastic Liouville Equation. To illustrate the proposed numerical schemes, studies are presented for an electron paramagnetic resonance problem involving a coordinated copper complex and a fluorescence problem

Topics: QC, QD
Year: 2011
OAI identifier: oai:eprints.soton.ac.uk:188159
Provided by: e-Prints Soton

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