Quantum Dynamics of Hydrogen-like Ions in a Spatially Nonuniform Magnetic Field: A Possible Application to Fusion Plasma

In this work, we direct our attention to the study of the effect of a nonuniform and strong magnetic field on the quantum properties of ions in plasma. We have assumed that the strong magnetic field is a sum of two magnetic fields: one, the most intense, has a toroidal geometry, whereas the other of less intensity (about the third of the first) is poloidal. Regarding the quantum properties, we have focused our attention on obtaining the corresponding eigenenergy of n hydrogen-like ion in this nonuniform magnetic field. Using the obtained eigenenergy, we investigated the spectral line shape (Lyman-alpha) of three types of ions: He+, C5+, and Ar17+ for different magnetic field magnitudes. In this study, we considered only Doppler and electronic Stark broadening of the spectral line shapes.