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Analogous to Landau quantization related to a neutral particle possessing anelectric quadrupole moment, we generalize such Landau quantization to includeposition-dependent mass (PDM) neutral particles. Using cylindrical coordinates,the exact solvability of PDM neutral particles with an electric quadrupolemoment moving in electromagnetic fields is reported. The interaction betweenthe electric quadrupole moment of a PDM neutral particle and a magnetic fieldin the absence of an electric field is analyzed for two different radialcylindrical PDM settings. Next, two particular cases of radial electric fields(E={\lambda}\r{ho}/\r{ho} and E={\lambda}\r{ho}/2\r{ho}) are considered toinvestigate their influence on the Landau quantization (of this system usingthe same models of PDM settings). The exact eigenvalues and eigenfunctions foreach case are analytically obtained.

Landau Quantization for an electric quadrupole moment of Position-Dependent Mass Quantum Particles interacting with Electromagnetic fields