Semiclassical theory of spin-orbit coupling.
Semiclassical theory of spin-orbit coupling.
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自旋轨道耦合的半经典理论。
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
Flynn
中科院分区：
文献类型：
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作者：
Littlejohn;Flynn
新发展的方法，寻找半经典或WKB本征值和本征函数的矢量波场适用于自旋粒子运动的中心势受自旋轨道力。新的方法就像熟悉的玻尔-索末菲或爱因斯坦-布里渊-凯勒量子化方法的标量波场，但涉及额外的问题，有关贝里的相位，规范结构，和monopolelike奇点。所有这些额外的问题都发生在自旋轨道耦合的渐近性中。由于规范场在经典-量子对应中所扮演的角色，角动量和守恒定律的作用特别有趣。提出的工作是一个贡献正在进行的半经典研究的壳结构的核和其他费米子系统，如金属簇，以及一个例子的一般方法的半经典矢量波量子化。
Newly developed methods for finding the semiclassical or WKB eigenvalues and eigenfunctions for vector wave fields are applied to spinning particles moving in central potentials subject to spin-orbit forces. The new methods are like the familiar Bohr-Sommerfeld or Einstein-Brillouin-Keller quantization methods for scalar wave fields, but involve additional issues relating to Berry's phase, gauge structures, and monopolelike singularities. All these extra issues occur in the asymptotics of spin-orbit coupling. The role of angular momentum and conservation laws is particularly interesting, due to the role played by gauge fields in the classical-quantum correspondence. The work presented is a contribution to ongoing semiclassical studies of shell structure in nuclei and other fermion systems such as metal clusters, as well as an example of the general methods of semiclassical vector wave quantization.