论文标题
所有磁场值取消$ D_1 $碱金属原子的线转换
All magnetic field values cancelling $D_1$ line transitions of alkali metal atoms
论文作者
论文摘要
在这项工作中，$π$，$σ^+$和$σ^ - $ $ $在所有碱原子的$ d_1 $线之间的磁性级别之间的过渡都被分析考虑。为了描述所有过渡，建立了地面和激发态的磁场和激发态的磁场存在。计算了描述地面和激发水平的特征值和特征力，“修改”和不受干扰的传输系数是核旋转$ i $，磁量子数$ m $和磁场幅度$ b $的函数的函数。仅对每个同位素的某些$π$过渡观察到过渡取消。主要结果是我们获得了一个表达取消这些跃迁的磁场值的单个公式。这些值也对应于其他一些过渡强度最大的情况。此外，我们检查了$π$转变“修改”传输系数的导数，以找到与最大强度相对应的磁场值。磁场$ b $值的准确性仅受所涉及物理量的不确定性的限制。
In this work, $π$, $σ^+$ and $σ^-$ transitions between magnetic sublevels of the $D_1$ line of all alkali atoms are considered analytically. General block Hamiltonian matrices in presence of a magnetic field for the ground and excited states are built in order to describe all the transitions. Eigenvalues and eigenkets describing ground and excited levels are calculated, "modified" and unperturbed transfer coefficients as a function of the nuclear spin $I$, the magnetic quantum number $m$ and the magnetic field magnitude $B$ are defined. Transition cancellations are observed only for some $π$ transitions of each isotope. The main result is that we obtain one single formula which expresses the magnetic field values cancelling these transitions. These values also correspond to the case when some of other transitions intensity have their maximum. In addition, we examine the derivative of $π$ transition "modified" transfer coefficients in order to find the magnetic field values which correspond to the intensities maximum. The accuracy of the magnetic field $B$ values is only limited by the uncertainty of the involved physical quantities.
