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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 44, Number 3, Pages 414–420 (Mi tmf3631)  

This article is cited in 8 scientific papers (total in 8 papers)

Application of averaging to magnetic resonance problems in solids

L. L. Buishvili, M. G. Menabde
Full-text PDF (761 kB) Citations (8)
References:
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.
Received: 23.05.1979
English version:
Theoretical and Mathematical Physics, 1980, Volume 44, Issue 3, Pages 832–836
DOI: https://doi.org/10.1007/BF01029052
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
\Bibitem{BuiMen80}
\by L.~L.~Buishvili, M.~G.~Menabde
\paper Application of~averaging to~magnetic resonance problems in~solids
\jour TMF
\yr 1980
\vol 44
\issue 3
\pages 414--420
\mathnet{http://mi.mathnet.ru/tmf3631}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 44
\issue 3
\pages 832--836
\crossref{https://doi.org/10.1007/BF01029052}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LP32400014}
Linking options:
  • https://www.mathnet.ru/eng/tmf3631
  • https://www.mathnet.ru/eng/tmf/v44/i3/p414
  • This publication is cited in the following 8 articles:
    1. Shreyan Ganguly, Rajat Garg, Ramesh Ramachandran, “On the equivalence between different averaging schemes in magnetic resonance”, The Journal of Chemical Physics, 153:9 (2020)  crossref
    2. 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  crossref
    3. 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  crossref
    4. 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  crossref
    5. 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  crossref
    6. Jerzy Luczka, “On the averaging method in the weak-coupling theory of quantum open systems”, Phys. Scr., 39:4 (1989), 417  crossref
    7. 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  mathnet  crossref  isi
    8. 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  mathnet  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:351
    Full-text PDF :130
    References:43
    First page:1
     
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