Correlation of Thermo-Magnetic Properties of Non-Interacting Two-Electron Parabolic Confined Quantum Dots under External Parameters

The main interest of this study is to investigate the correlation of thermo-magnetic properties with respect to each other on the basis of confinement potential strength, external magnetic field, and temperature dependence. Analytically calculated the bound state energy of the harmonic oscillatory potential using Nikiforov-Uvarov formalism and numerically calculated the characteristic function of the thermodynamic properties partition function, entropy, and free energy with statistical quantum mechanics extending into the harmonic oscillator potential: Many comprehensive studies from the theoretical point of view were conducted on magneto-thermodynamic properties, but all in all, they did not place emphasis on the functional dependence of the correlation between magneto-thermal properties and their impact on the behavior of a system. Therefore, the correlation of dependent functional characteristics was not investigated. We were inspired to solve the interrelation-dependent magnetic-th