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MR spectroscopy with parabolic magnetic field: spin-oscillator coupling effect

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arxiv quant-ph/9908053 v1 pith:ITIBG2GC submitted 1999-08-16 quant-ph

MR spectroscopy with parabolic magnetic field: spin-oscillator coupling effect

classification quant-ph
keywords fieldeffectmagneticoscillatoryparabolicspectrumspinallows
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The spectrum of the spin particle in oscillatory potential subjected to external parabolic magnetic field ${\bf B}=(B_0+Gx+\tilde G x^2){\bf \hat z}$ is obtained. The structure of energy levels of the considered system allows to identify the frequency of the oscillator via the spectrum of spin sublevels coming only from {\it one} oscillatory level. The effect is due to the gradient terms in the form of the field.

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