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Nuclear spin echo model based on Floquet–Lyapunov theory

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Abstract

The method of nuclear spin-echo amplitude calculation based on the density matrix technique is improved. The Floquet–Lyapunov theorem for a system of the ordinary differential equations with coefficients periodically dependent on time is used to find the solution of the Schrödinger equation for the time-evolution operator which describes behavior of a nuclear spin in the presence of a radiofrequency pulsed magnetic field. NQR spin echo for the case of nuclear spin I = 1 and NMR spin echo for I = 1/2 are considered as the simplest illustrations of the approach. The appearance of multiple spin echoes is predicted in the case of strong radiofrequency field.

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  1. Russian Research Center “Kurchatov Institute”, Moscow, 123182, Russia

    V. G. Orlov & M. P. Shlykov

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  1. V. G. Orlov
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  2. M. P. Shlykov
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Correspondence to V. G. Orlov.

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Orlov, V.G., Shlykov, M.P. Nuclear spin echo model based on Floquet–Lyapunov theory. Hyperfine Interact 180, 11–18 (2007). https://doi.org/10.1007/s10751-008-9680-2

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  • DOI: https://doi.org/10.1007/s10751-008-9680-2

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