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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 with (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, ) endowed with and . Both yield exactly solvable Schrödinger equations of Coulombic nature but with different spectroscopic structures. Moreover, we consider a Yukawa-type PDM-charged particle with 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-freePDM-charged particle with for . Energy levels crossings are also reported. 相似文献
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《Physics letters. A》2019,383(25):3180-3186
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