Translator Disclaimer
12 December 2007 Determination on wave function of quantum structures using finite-difference time domain
Author Affiliations +
Proceedings Volume 6782, Optoelectronic Materials and Devices II; 678220 (2007) https://doi.org/10.1117/12.743592
Event: Asia-Pacific Optical Communications, 2007, Wuhan, China
Abstract
With the interest in quantum structures, there is a need to have a flexible method that can help us to determine eigenfunctions for these structures. In this article, we present a method that accomplishes this by using the simulation of the Schrödinger equation based on finite-difference time-domain (FDTD). We choose one-and two-dimensional finite square well potential, and one-and two-dimensional harmonic oscillator potential as examples. Giving the initial condition, we determine the eigenfrequencies through a Fourier transform of the time domain data collected at the center point in the problem space. Another simulation implements a discrete Fourier transform at the eigenfrequencies at every point in the problem space, hence, the eigenfunctions can be constructed.
© (2007) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Boyong Jia, Zhongyuan Yu, and Yumin Liu "Determination on wave function of quantum structures using finite-difference time domain", Proc. SPIE 6782, Optoelectronic Materials and Devices II, 678220 (12 December 2007); https://doi.org/10.1117/12.743592
PROCEEDINGS
10 PAGES


SHARE
Advertisement
Advertisement
Back to Top