弱聚焦全电环中的自旋退相干率
摘要
我此前推导了具有径向场（对数势，场指数 ）的弱聚焦全电存储环中（针对水平面内的轨道和自旋运动）的自旋退相干率表达式。在此，我将计算推广至任意场指数 。我还求解了相对论性开普勒问题（场指数 ）的模型，其中轨道解是解析已知的，并验证了其确认了微扰理论的解。
引用
@article{arxiv.1404.0322,
title = {Spin decoherence rate in a weak focusing all-electric ring},
author = {S. R. Mane},
journal= {arXiv preprint arXiv:1404.0322},
year = {2015}
}
备注
57 pages, 4 figures. v2: I solved the model also for off-energy dispersion orbits. The dispersion orbits are circles and I calculated the spin decoherence rate exactly. v3: I solved the model also for vertical motion, for $n=0$ (logarithmic potential). I have also solved for the spin precession the Kepler problem (inverse square law) exactly; the paper is in press. Extra appendices have been added; in particular, Ivan Koop kindly gave permission to reproduce his elegant analysis of motion in a vertical spiral in a logarithmic potential. v4: Added synchrotron oscillations. arXiv admin note: substantial text overlap with arXiv:1403.5023