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

Abstract

The spectrum of the spin particle in oscillatory potential subjected to external parabolic magnetic field $\mathbf{B}=(B_0+Gx+\tilde{G}{x}^2)\hat{\mathbf{z}}$ 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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