PD磁加Aharonov-Bohm通量场中的PDM带电粒子：无约束的“准自由”和约束的Yukawa加Kratzer精确可解性
PDM-charged particles in PD-magnetic plus Aharonov-Bohm flux fields: unconfined "almost-quasi-free" and confined in a Yukawa plus Kratzer exact solvability
摘要：
利用方位对称柱坐标，研究了在位置相关磁场和Aharonov-Bohm磁通场中运动的质量相关带电粒子。我们将注意力集中在PDM带电粒子上（即，PDM仅径向相关）在逆幂律型径向PD-磁场中移动。在这样的设置下，我们考虑两个几乎准自由的PDM带电粒子（即，无相互作用潜力）。这两个方程都能精确求解库仑性质的薛定谔方程，但具有不同的光谱结构。此外，我们认为Yukawa型PDM带电粒子不仅在PD-磁和Aharonov-Bohm通量场附近运动，而且在Yukawa加Kratzer型势场附近运动。对于这种特殊情况，我们使用Nikiforov-Uvarov（NU）方法来得到精确的解析本征值和本征函数。这反过来又恢复了那些几乎准自由的PDM带电粒子。还报告了能级交叉。
英文摘要：
Using azimuthally symmetrized cylindrical coordinates, we consider some position-dependent mass (PDM) charged particles moving in position-dependent (PD) magnetic and Aharonov-Bohm flux fields. We focus our attention on PDM-charged particles (i.e., the PDM is only radially dependent) moving in an inverse power-law-type radial PD-magnetic fields. Under such settings, we consider two almost-quasi-free PDM-charged particles (i.e., no interaction potential). Both yield exactly solvable Schrödinger equations of Coulombic nature but with different spectroscopic structures. Moreover, we consider a Yukawa-type PDM-charged particle moving not only in the vicinity of the PD-magnetic and Aharonov-Bohm flux fields but also in the vicinity of a Yukawa plus a Kratzer type potential force field. For this particular case, we use the Nikiforov-Uvarov (NU) method to come out with exact analytical eigenvalues and eigenfunctions. Which, in turn, recover those of the almost-quasi-free PDM-charged particle. Energy levels crossings are also reported.
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