Spin-orbit interactions at finite temperature in low dimensional bound states

Spin-orbit interactions of exciton relativistic bound states at a finite temperature in the framework of the projective unitary representation in a physics model with the Coulomb potential have been investigated. The ground state of the system in order to describe the temperature effect in a low dimension environment has been defined. The bound state, with electron-hole pair, has attracted a great deal of interest in thin films and nanophysics. The reality of the state has been the subject of intense concern among theoreticians and experimenters in recent years. Spin-orbit interactions of exciton are considered to be in an electron-hole pair bound state. The problem of spin interactions of coupled states based on the quantum field theory in its widest sense is a method to control and achieve reasonable goals; and in this article, the problem is examined in detail. The structure of the interaction Hamiltonian with the Coulomb type potential at finite temperatures is defined and then the mass and energy spectra of an exciton based on the spin interactions are determined theoretically. The defined properties at finite temperature can be used for new high technology materials of semi-conductive features for electronics, microelectronics, photovoltaic or solar cell manufacturing, and semiconductor chips.