quanto-relativistic background of strong electron-electron interactions in quantum dots under magnetic field

At a finite temperature, electron-electron interactions and energy eigenvalues were studied using in the field of symplectic geometry and the relativistic radial schrödinger equation with the expanded exponential thermal potential (parabolic potential) representing the strong electron-electron interaction. electron-electron interactions can strongly affect the effective mass, mass spectrum, and functionality of multi-electron quantum dots. a quanto-relativistic interaction's behavior and effects with temperature dependence in the magnetic field are shown to have a unique feature in semiconductor quantum dots. these results have important implications for lighting, quantum dot enhancement film, rational design, edge optic, new materials, spin electronics color filter, on-chip, visible and ir/nir image sensor, photovoltaic, and fabrication of quantum dot qubits with predictable properties.