A novel finite-element formulation for the analysis of the energy levels of a quantum cavity in a magnetic field

被引：3

作者：

Hirayama, K ^{[1
]}

Honma, Y

Hayashi, Y

Koshiba, M

机构：

[1] Kitami Inst Technol, Dept Elect & Elect Engn, Kitami, Hokkaido 0908507, Japan

[2] Hokkaido Univ, Div Elect & Informat Engn, Sapporo, Hokkaido 0608628, Japan

来源：

IEEE PHOTONICS TECHNOLOGY LETTERS | 1998年 / 10卷 / 10期

关键词：

cavity resonators; eigenvalues and eigenfunctions; finite-element methods; magnetic fields; quantum dots;

D O I：

10.1109/68.720260

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A novel finite-element formulation for the analysis of the energy levels of a two-dimensional quantum cavity in a magnetic field is proposed. Our formulation is based on both a variational and Galerkin methods which, when combined with a finite-element method, lead to eigenvalue problems characterized by either real or Hermitian matrices contrary to algorithms proposed in the past. These eigenvalue problems can then be solved quite efficiently on a computer using standard library packages. Also, it is confirmed that the results obtained here are independent of the choice of gauge.

引用

页码：1359 / 1361

页数：3

共 6 条

[1]

Anderson E., 1995, LAPACK USERS GUIDE

[2] TRANSITION FROM CHAOTIC TO REGULAR BEHAVIOR OF ELECTRONS IN A STADIUM-SHAPED QUANTUM-DOT IN A PERPENDICULAR MAGNETIC-FIELD [J].