Quantum mechanics with coordinate-dependent mass
凝聚态物理
2009-10-31 v1
摘要
We study a motion of quantum particles, whose properties depend on one coordinate so that they can move freely in the perpendicular direction. A rotationally-symmetric Hamiltonian is derived and applied to study a general interface formed between two semiconductors. We predict a new type of electron states, localized at the interface. They appear whenever the two bulk dispersions intersect. These shallow states lie near the point of intersection and are restricted to a finite range of perpendicular momentum. The scattering of carriers by the interface is discussed.
引用
@article{arxiv.cond-mat/9810342,
title = {Quantum mechanics with coordinate-dependent mass},
author = {A. V. Kolesnikov and A. P. Silin},
journal= {arXiv preprint arXiv:cond-mat/9810342},
year = {2009}
}
备注
3 Figures