Airy function and transfer matrix method in the study of quasi-bound levels of biased multi-barrier quantum structures

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Abstract
The quasi-bound levels in biased/unbiased double/triple-barrier quantum structures have been exactly calculated based on the solution of the one_dimensional (1D) time-independent Schrdinger equation using Airy function and transfer matrix method, which is easily extended to multi-barrier quantum structures; furthermo re, the dependence of the quasi-bound levels on the effective masses and bias in biased/unbiased double/triple-barrier quantum structures has also been investig ated. In addition, errors of Airy function and transfer matrix method in the stu dy of quasi-bound levels of biased multi-barrier quantum structures in other let ters have been pointed out and verified.

Keywords:
quasi-bound levels /

biased/unbiased multi-barrier quantum structures /

Airy function /

transmission coefficient
Authors and contacts
Wang Hong-Mei,

Zhang Ya-Fei

1.
上海交通大学薄膜和微细技术教育部重点实验室,微纳米科学技术研究院，上海 20003 0
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