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. پرونده مقاله

Recent progress in high-technology equipment enables the fabrication of quantum dots such as GaAs, and GaAlAs confining a finite number of excitons and allowing for control of the properties of quantum dots. Biexciton quantum dots are the simplest example that can be used to upgrade optoelectronics technologies. This theoretical research investigates a model of the biexciton state in the strongly oblate ellipsoidal quantum dot with the relativistic corrections of mass and Hamiltonian in the framework of the quantum field theory due to the importance of the relativistic effect for this type of quantum dot shapes. The Sturmian function transformation and Wick ordering method to calculate the vacuum state energy eigenvalue of the biexciton system are utilized. Based on the relativistic behavior of interactions, the mass corrections to the Hamiltonian are defined. Dependence of the relativistic mass on the distances between electrons and the constituent mass to the coupling constant is obtained. The results show that as increasing quantum dot size, the relativistic mass and Hamiltonian corrections terms decrease. پرونده مقاله