Spin-Orbital Effect of Diexciton in Quantum Dots

Great efforts have been made to understand how bound state arise in the formalism of quantum field theory and to work out effective methods to calculate all characteristics of these bound states, especially their masses and binding energy. The analysis of a bound state is simplest when constituent particles can be considered to be nonrelativistic, i.e. when they travel at speeds considerably less than 'c'. We studied an exotic system (state) on the basis of investigation of asymptotic behavior of the loop function for the scalar particles in the external gauge field and determined it for the scalar particles in the with relativistic feature of interaction and have been able to obtain the mass spectrum of bound state, the constituent mass of diexciton and spin interactions and find out that determining the mass of the bound state systems requires; first of all, determining the Eigenvalue of the Hamiltonian with Coulomb potential and then calculating the mass and binding energy or spin interactions of diexciton system which we could achieve. The current paper has calculated energy spectrum and constituents mass of particles in limited core mass conditions and we could conclude that constituent mass of particle in the system is different from mass in free states. So having below conditions form inhomogeneous multi-layer environment in nanostructure in mind, and using oscillator representation method, spin Hamiltonian coefficient of diexciton system with effective confinement potential, Coulomb effect between particles, and spin effect, will be discussed. Relation between distances properties of diexciton system and distance between two electrons in quantum dots and dependency relation will be determined in conclusion.