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The transition to a rotating coordinate system in the magnetic resonance theory

  • Elementary Particle Physics And Field Theory
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Russian Physics Journal Aims and scope

Abstract

A new approach is proposed for the transition to a rotating coordinate system under magic angle conditions. In contrast to the Redfield result, the obtained Hamiltonian contains additional secular terms differing from zero even for a magic angle. Their origin is associated with the presence of non-secular terms in the dipole-dipole spin interaction Hamiltonian corresponding to the laboratory reference frame. These additional terms should apparently be taken into account while interpreting experiments on the investigation of the behavior of the spin system under magic angle conditions.

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Literature cited

  1. A. G. Redfield, Phys. Rev.,98, 1787–1809 (1955).

    Google Scholar 

  2. M. Lee and W. Golburg, Phys. Rev.,140, A1261-A1271 (1965).

    Google Scholar 

  3. A. Abragam, Principles of Nuclear Magnetism, Oxford Univ. Press, New York (1961).

    Google Scholar 

  4. I. V. Aleksandrov, Theory of Magnetic Relaxation. Relaxation in Liquid and Solid Nonmetallic Paramagnets [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  5. V. A. Atsarkin, A. E. Mefed, and M. I. Rodak, Fiz. Tverd. Tela (St. Petersburgh),21, 2672–2676 (1979).

    Google Scholar 

  6. R. Kh. Sabirov, Radiofizika,25, 873–877 (1982).

    Google Scholar 

  7. L. L. Buishvili, G. V. Kobakhidze, and M. G. Menabde, Zh. Éksp. Teor. Fiz.,84, 138–147 (1983).

    Google Scholar 

  8. N. N. Bogoliubov, Yu. A. Mitropol'skii, and A. M. Samoilenko, Method of Rapid Convergence in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1969).

    Google Scholar 

  9. L. L. Buishvili, E. B. Volzhan, and M. G. Menabde, Teor. Mat. Fiz.,46, 251–262 (1981).

    Google Scholar 

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Additional information

V. I. Lenin Education Institute, Moscow. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 60–64, June, 1992.

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Sabirov, R.K. The transition to a rotating coordinate system in the magnetic resonance theory. Russ Phys J 35, 541–545 (1992). https://doi.org/10.1007/BF00559178

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  • DOI: https://doi.org/10.1007/BF00559178

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