@article{af40c98ff4e34bc3a16025929a90af39,
title = "A perturbation treatment of oscillating magnetic fields in the radical pair mechanism using the Liouville equation",
abstract = "This paper describes an application of time-dependent perturbation theory to the calculation of singlet-to-triplet yields in radical pair reactions for oscillating magnetic fields. It outlines an iterative approach, based on the Liouville equation, that holds for any order of perturbation theory. It then compares this method to other methods, namely, numerical integration and the rotating frame treatment as well as methods based on the Schr{\"o}dinger equation, and gives sample results.",
author = "Canfield, \{J. M.\} and Belford, \{R. L.\} and Debrunner, \{P. G.\} and K. Schulten",
note = "This work was conducted at the University of Illinois in Urbana-Champaign in the Illinois Electron Paramagnetic Resonance Research Center (NIH (;rant P41RR01811) and in the Resource for Concurrent Biological Computing (NIH Grant P41RR05969). Support was also provided by a Department of Defense National Defense Science and Engineering Graduate Fellowship, administered by the United States Air Force, and an NIH Traineeship in Radiation Oncology (NIH Grant PHS 5 T32 CA 09067) awarded to J.M. Canfield. Special thanks go to Dr. Michael Heath of the Department of Computer Science and the National Center for Supercomputing Applications for his help in locating the AX + XB = C algorithm used in this paper and to Dr. R.B. Clarkson of the College of Veterinary Medicine for his support and advice.",
year = "1995",
month = jun,
day = "1",
doi = "10.1016/0301-0104(95)00049-T",
language = "English (US)",
volume = "195",
pages = "59--69",
journal = "Chemical Physics",
issn = "0301-0104",
publisher = "Elsevier B.V.",
number = "1-3",
}