Eigenvalue problem of confined quantum dots

[摘要] The analysis of optoelectromechanical properties of nanostructures in band structure engineering is discussed in the paper. It is demonstrated that the design of semiconductors is based on the solution of different forms of the Schrödinger (Helmholtz) equation, dependent on the form of the Hamiltonian characterizing quantum effects. The formulation can lead to the linear or nonlinear eigenvalue problems. Then, the methods of solutions are also presented.

[发布机构] Institute of Machine Design, Cracow University of Technology, Warszawska 24, Cracow; 31-155, Poland^1

[效力级别] 材料工程

[关键词] Eigenvalue problem;Helmholtz;In-band;Nonlinear eigenvalue problem;Quantum effects