Magnetoexciton ground state in a quantum well: A variational and perturbation approach

The magnetoexciton ground state in a quantum well is calculated by a novel variational and perturbation approach which converts the problem to a two-dimensional (2D) equivalent with an additional parameter. Three different trial wave functions, a 2D hydrogenic function, a harmonic-oscillator function, and a combination of both, are used in the calculation. These results are evaluated and compared to each other. The comparison of this calculation with our magneto-optical experimental data provides a new method for obtaining an effective transverse hole mass in a quantum-well plane.