Exciton in a quantum-well structure for arbitrary magnetic field strengths

The magnetic-field-strength and quantum-well-width dependence of the ground-state energies of a magnetoexciton in a GaAs/${\mathrm{Ga}}_{1\mathrm{-}\mathit{x}}$${\mathrm{Al}}_{\mathit{x}}$As quantum-well structure are studied for arbitrary magnetic field strengths. The results show that the energy of the magnetoexciton will increase with increasing quantum-well width and magnetic field strength. We also found that the magnetoexciton in the ${\mathit{l}}_{\mathit{e},}$h=1 state is more stable than in the ${\mathit{l}}_{\mathit{e},}$h=2 state.