Analysis of complex eignenenergies of an electron in two-and three-dimensionally confined systems using the weighted potential method

摘要

As a useful approach to analyze eigenstates (eigenenergies) of an electron in a quantum box structure, the weighted potential method (WPM) is formulated. This approach can treat complex eigenenergies of an electron and allows us to estimate electron lifetime. In order to show the validity of this approach, the time-dependent analysis is performed for quantum-well and quantum-wire structures in the presence of an applied electric field and the results are compared with those of WPM. Quantum box structures are also treated with WPM, and the effects of the strength and direction of the applied electric field on the complex eignenenergies are investigated in detail.