arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1003.0137hep-th
收藏

自旋粒子-磁场相互作用的动力学超对称性

Dynamical supersymmetry of spin particle-magnetic field interaction

J. -P. Ngome, P. A. Horváthy, J. W. van Holten

摘要:

本文研究了费米子的超对称性和动力学对称性。哈密顿量还涉及一个额外的自旋轨道耦合项,这是参数化的旋磁比。我们构建的超不变量与系统使用的超对称性扩展以前提出的算法,格拉斯曼值的基础上杀死张量。对于旋磁因子的某些确定值,会出现守恒量:$\N=1$ SUSY需要$g=2$ ;然而,开普勒型动力学对称性只出现在反常值$g=0$和$g=4$时。这两个反常系统可以统一为一个$\N=2$超对称系统,该系统通过将格拉斯曼变量的数目加倍来建立。平面系统也表现出$\N=2$超对称性,没有格拉斯曼变量加倍。

英文摘要:

We study the super and dynamical symmetries of a fermion in a monopole background. The Hamiltonian also involves an additional spin-orbit coupling term, which is parameterized by the gyromagnetic ratio. We construct the superinvariants associated with the system using a SUSY extension of a previously proposed algorithm, based on Grassmann-valued Killing tensors. Conserved quantities arise for certain definite values of the gyromagnetic factor: $\N=1$ SUSY requires $g=2$; a Kepler-type dynamical symmetry only arises, however, for the anomalous values $g=0$ and $g=4$. The two anomalous systems can be unified into an $\N=2$ SUSY system built by doubling the number of Grassmann variables. The planar system also exhibits an $\N=2$ supersymmetry without Grassmann variable doubling.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑