Study on the Quasistationary States in Open Quantum Heterostructures

• Main Authors: Ming-Chieh Lin, 林銘杰
• Other Authors: Der-San Chuu
• Format: Others
• Language: en_US
• Published: 2002
• Online Access: http://ndltd.ncl.edu.tw/handle/20370127497297671535

博士 === 國立交通大學 === 電子物理系 === 90 === In this dissertation, we study the quasistationary states in open quantum heterostructures. The quasistationary states of an electron in an open coupled quantum well, an open quantum wire, and an open quantum dot are investigated. A simple time-dependent model is presented to investigate lifetimes of the quasistationary states in open coupled quantum wells. A complex-eigenenergy solver is presented to determine both the resonance positions ER and the corresponding lifetimes τ of the system for the latter two cases. In the eigen-solver, the wave functions are expressed in terms of the Whittaker functions with complex arguments, and the effective-mass Schrödinger equation is solved analytically. The quasistationary states in terms of the complex eigen-energies, ER-iħ/(2τ), are extracted numerically in the complex plane by Newton''s method. All the quasistationary states of the system can be determined. The system of an exciton in spherically N-layered semiconductor quantum dots is also investigated via the perturbation method. Finally, the quasistationary states of a relativistic field-emission-limited diode are investigated via a self-consistent approach.