Electron Wave Function in the Field of One-Dimensional Irregular Layered Structure
Abstract
A method is proposed to find the wave function of an electron moving infinitely in the field of an arbitrary 1D layered structure with two different homogeneous semi-infinite boundaries. It is shown that in general the problem reduces to solution of a set of two linear recurrent equations. The proposed approach is discussed on a base of two cases: a structure of periodically placed identical rectangular potentials and a nonordered structure with certain distortion of periodicity and potential identity.
- Publication:
-
International Journal of Modern Physics C
- Pub Date:
- 2004
- DOI:
- 10.1142/S012918310400656X
- arXiv:
- arXiv:quant-ph/0302010
- Bibcode:
- 2004IJMPC..15.1105K
- Keywords:
-
- Wave function;
- transmission and reflection;
- infinite one-dimensional motion;
- nonregular and long size systems;
- Quantum Physics
- E-Print:
- Submitted in Supperlattices and Microstructures