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运动参照系中的Berry相因子及其可观测物理效应
BERRY’S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS
【摘要】 本文在非相对论情况下,讨论了运动参照系中Schrodinger方程绝热近似解的性质和Berry相因子在坐标变换下的行为,对转动和平动参照系两种具体情况作了较为详尽的分析.这些讨论表明了Berry相因子的出现与参照系的选择有关。对于涉及到平动参照系的Bitter和Dubbers的中子极化问题,我们不仅在零级近似下给出理论和实验相符合的结果,而且还进一步分析了绝热条件破坏时可能出现的高阶效应.
【Abstract】 Under non-relativistic conditions, the properties of adiabatic solutions of the Schrodinger equation in moving frame of reference and the behaviours of the corresponding Berry’s Phase are analysed. Two cases of translation and rotation are discussed in detail, which show that the existence of Berry’s phase depends on the choice of frame of reference. While Bitter and Dubbers’s experiment is explained by the first-order approximation in our discussion, the nonadiabatic effects in this experiment are predicted by the second-order approximation when the adiabatic condition is broken.
- 【文献出处】 高能物理与核物理 ,High Energy Physics and Unclear Physics , 编辑部邮箱 ,1990年02期
- 【被引频次】5
- 【下载频次】71