| There is significant current interest in the exitonic properties of semiconductor quantum wires because of their role in optoelectronic applications. Extensive experimental and theoretical investigations of the behavior of energy levels of excitons in quantum wells in the presence of a magnetic field have been carried out during the past 20 years.In 1990s, a calculation of the ground-state energy of an exciton confined in a cylindrical quantum wire in the presence of a uniform magnetic field is reported as a function of wire radius , using a variational approach by Gang Li,Spiros V.Branis and K.K.Bajaj. A.Balandin and S.Bandyopadhya present variational calculations of the ground-state exciton binding energy and exciton radius in a quantum wire subjected to an external magnetic field.These studies have been primarily responsible for our current understanding of the nature of excitonic states in aquantum wire subjected to an external magnetic field. For a better understanding of excitonic states in a quantum wire subjected to an external magnetic field. We process calculations as the following:We calculate the binding energies of excitons in a square quantum-well wire in presence of a magnetic field for finite and infinite potential barrier case respectively. The binding energies of excitons are calculated with the use of variational approach, we consider the mismatch of effective masses between the well and the barrier in the process of calculation, calculate and talk about the virial theorem values in square quantum-well wires in presence of a magnetic field. We find out the rule that the binding energies of excitons vary with the size of wires in the presence a magnetic field through the calculation. We compare the difference between our considering the mismatch of the effective masses of the wrell and barrier and our not considering the mismatch of the effective masses of the well and barrier. We find that virial theorem values decrease quickly as magnetic value is increased. |
