The energy eigenstates of a spin$-\frac{1}{2}$ particle in a magnetic fieldconfined to a plane, define a planar spin. If the particle moves adiabaticallyaround a loop in this plane, it picks up a topological Berry phase that canonly be an integer multiple of $\pi$. We propose a neutron interferometry testof the Berry phase for a circulating planar spin induced by a magnetic fieldcaused by a very long current-carrying straight wire perpendicular to theplane. This Berry phase causes destructive interference in the direction of theincoming beam of thermal neutrons moving through a triple-Laue interferometer.
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机译:自旋$ \\ frac {1} {2} $粒子在受限于平面的磁场中的能量本征态定义了平面自旋。如果粒子在该平面中以绝热方式围绕循环运动,则它将拾取拓扑Berry相,该相只能是$ \ pi $的整数倍。我们提出了一个贝里相的中子干涉测量方法,用于由垂直于该平面的非常长的载流直线引起的磁场引起的循环平面自旋。该贝里相在穿过三劳厄干涉仪的热中子的入射束方向上造成破坏性干扰。
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