Exact wave functions and energy levels for a quantum well with an applied electric field

✍ Scribed by C. Trallero Giner; J. López Gondar

• Publisher: Elsevier Science
• Year: 1986
• Weight: 393 KB
• Volume: 138
• Category: Article
• ISSN: 0378-4363
• DOI: 10.1016/0378-4363(86)90009-4

✦ Synopsis

The exact wave functions and eigenvalues in an isolated infinite quantum well structure with an applied electric field F perpendicular to the interfaces are reported. The obtained results for the ground-state energy are compared with those reported using perturbation theory and variational calculations. The finite band discontinuities are considered in the infinite quantum well model fitting the ground state energy to the finite QW ease without applied field. A good agreement between theoretical results and experimental data relative to the Stark shift for the heavy-hole excitons and for different GaAs--Gal-xAlxAs structures is obtained. We predict for the energy shift, as a function of the applied field, a functional dependence F p, p being a certain parameter which depends on the specific structure considered.