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Time delay in chemical exchange during an NMR pulse. (English) Zbl 1340.82013
Summary: Spin exchange with a time delay in NMR (nuclear magnetic resonance) was treated in a previous work [Zbl 1320.82069]. In the present work the idea is applied to a case where all magnetization components are relevant. The resulting DDE (delay differential equations) are formally solved by the Laplace transform. Then the stability of the system is studied using the real and imaginary parts of the determinant in the characteristic equation. Using typical parameter values for the DDE system, stability is shown for all relevant cases. Also non-oscillating terms in the solution were found by studying the same determinant using similar parameter values.
MSC:
82D40 Statistical mechanics of magnetic materials
34K06 Linear functional-differential equations
Citations:
Zbl 1320.82069
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