论文标题
与位置相关的质量量颗粒的电力四极矩与电磁场相互作用的兰道量化
Landau Quantization for an electric quadrupole moment of Position-Dependent Mass Quantum Particles interacting with Electromagnetic fields
论文作者
论文摘要
类似于与具有电动四极力矩的中性粒子有关的Landau量化，我们将这种Landau量化推广到包括位置依赖性质量（PDM）中性颗粒。据报道，使用圆柱坐标，据报道，PDM中性颗粒的精确溶解性在电磁场中移动的电动四极矩。分析了两个不同的径向圆柱PDM设置，在没有电场的情况下，PDM中性粒子的电二极矩与磁场之间的相互作用分析。接下来，考虑了两种特定的径向电场（E =λ\ r {ho}/\ r {ho}和E =λ\ r {ho}/2 \ r {ho {ho {ho {ho}），以研究其对Landau量化的影响（使用PDM设置相同的模型使用此系统）。分析获得每种情况的确切特征值和特征功能。
Analogous to Landau quantization related to a neutral particle possessing an electric quadrupole moment, we generalize such Landau quantization to include position-dependent mass (PDM) neutral particles. Using cylindrical coordinates, the exact solvability of PDM neutral particles with an electric quadrupole moment moving in electromagnetic fields is reported. The interaction between the electric quadrupole moment of a PDM neutral particle and a magnetic field in the absence of an electric field is analyzed for two different radial cylindrical PDM settings. Next, two particular cases of radial electric fields (E=λ\r{ho}/\r{ho} and E=λ\r{ho}/2\r{ho}) are considered to investigate their influence on the Landau quantization (of this system using the same models of PDM settings). The exact eigenvalues and eigenfunctions for each case are analytically obtained.
