论文标题
量子磁场中的褶皱 - 杜塞森转化和量子回旋能水平的相对论校正
Foldy-Wouthuysen Transformation in Strong Magnetic Fields and Relativistic Corrections for Quantum Cyclotron Energy Levels
论文作者
论文摘要
我们进行了直接的，迭代的折叠 - 对一般的狄拉克·哈密顿（Dirac Hamiltonian）耦合到电磁场（包括异常磁矩）的通用变形。转化是通过对较高的动量阶段的扩展进行的粒子和反粒子汉密尔顿人的迭代解开。发现统一转换的时间衍生项对于补充较高阶的电场的横向分量至关重要。对于包括强磁场在内的一般组合电场和磁场，获得了最终表达式。如果以标准方式进行转换，则显示电场的时间衍生功能仅在精细结构常数的第七阶输入。我们特别强调了强场的情况，这对于许多应用程序，例如绑定在笔陷阱中的电子很重要。
We carry out a direct, iterative Foldy--Wouthuysen transformation of a general Dirac Hamiltonian coupled to an electromagnetic field, including the anomalous magnetic moment. The transformation is carried out through an iterative disentangling of the particle and antiparticle Hamiltonians, in the expansion for higher orders of the momenta. The time-derivative term from the unitary transformation is found to be crucial in supplementing the transverse component of the electric field in higher orders. Final expressions are obtained for general combined electric and magnetic fields, including strong magnetic fields. The time-derivative of the electric field is shown to enter only in the seventh order of the fine-structure constant if the transformation is carried out in the standard fashion. We put special emphasis on the case of strong fields, which are important for a number of applications, such as electrons bound in Penning traps.
