Determination on wave function of quantum structures using finite-difference time domain

Boyong Jia; Zhongyuan Yu; Yumin Liu

doi:10.1117/12.743592

12 December 2007 Determination on wave function of quantum structures using finite-difference time domain

Boyong Jia, Zhongyuan Yu, Yumin Liu

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.

Citation Download Citation

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

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