Abstract:
The Krylov–Bogoliubov–Mitropolsky averaging method is used to derive the master equation describing nonequilibrium processes. Two typical problems of magnetic resonance in solids are considered by this method, the magnetic resonance saturation and spin-lattice relaxation. The above method can be easily generalised to describe other types of nonequilibrium processes.
Citation:
L. L. Buishvili, M. G. Menabde, “Application of averaging to magnetic resonance problems in solids”, TMF, 44:3 (1980), 414–420; Theoret. and Math. Phys., 44:3 (1980), 832–836
This publication is cited in the following 8 articles:
Shreyan Ganguly, Rajat Garg, Ramesh Ramachandran, “On the equivalence between different averaging schemes in magnetic resonance”, The Journal of Chemical Physics, 153:9 (2020)
Eugene Stephane Mananga, “Equivalence of the Floquet–Magnus and Fer Expansions to Investigate the Dynamics of a Spin System in the Three-Level System”, J. Phys. Chem. A, 121:32 (2017), 6063
Eugene Stephane Mananga, “Progress in spin dynamics solid-state nuclear magnetic resonance with the application of Floquet–Magnus expansion to chemical shift anisotropy”, Solid State Nuclear Magnetic Resonance, 54 (2013), 1
Alexander Karabanov, Anniek van der Drift, Luke J. Edwards, Ilya Kuprov, Walter Köckenberger, “Quantum mechanical simulation of solid effect dynamic nuclear polarisation using Krylov–Bogolyubov time averaging and a restricted state-space”, Phys. Chem. Chem. Phys., 14:8 (2012), 2658
L.L. Buishvili, M.G. Menabde, M.E. Gumberidze, O.V. Sumenko, ““Magnus paradox” and averaging method”, Physica A: Statistical Mechanics and its Applications, 170:1 (1990), 143
Jerzy Luczka, “On the averaging method in the weak-coupling theory of quantum open systems”, Phys. Scr., 39:4 (1989), 417
L. L. Buishvili, D. V. Malazoniya, M. G. Menabde, “Dynamical response of a spin system to the sudden application of a constant magnetic field”, Theoret. and Math. Phys., 51:2 (1982), 512–515
L. L. Buishvili, E. B. Volzhan, M. G. Menabde, “Higher approximations in the theory of the average Hamiltonian”, Theoret. and Math. Phys., 46:2 (1981), 166–173