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首页> 外文期刊>Applied Magnetic Resonance >Transitions between two intersecting spin levels in three-dimensional diffusive systems
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Transitions between two intersecting spin levels in three-dimensional diffusive systems

机译：三维扩散系统中两个相交自旋能级之间的过渡

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摘要

A problem similar to the classical Landau-Zener problem of calculating the rate of transitions between two intersecting levels has been formulated and solved for a spherical symmetric, three-dimensional diffusive system. The only assumption is that the extent of the transition region is small compared with the radius of the quasi-crossing sphere, an analytic expression covering the whole range of parameter values is derived. It is shown that the diffusive motion gives rise to an increase of the transition probability for fast diffusion but to a reduction for very slow diffusion and that the true adiabatic limit cannot be reached for a three-dimensional diffusive system. The maximum transition probability is found to be 1/2.
机译：对于球形对称的三维扩散系统，已经提出并解决了与经典的Landau-Zener问题类似的问题，该问题需要计算两个相交水平之间的跃迁速率。唯一的假设是，过渡区域的范围比准交叉球的半径小，因此得出了一个涵盖整个参数值范围的解析表达式。结果表明，扩散运动使快速扩散的跃迁几率增加，但对于非常慢的扩散却减小，并且对于三维扩散系统，不能达到真正的绝热极限。发现最大过渡概率为1/2。

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