1D Canonical and Perturbed Quantum Potential-well Problem: A Universal Function Approach

摘要：

We compute the eigenfunctions of canonical and associated perturbed quantum systems and utilize them as co-ordinate functions for solving more complex problems. We start with the infinite quantum potential-well problem because of the availability of the corresponding complete set of eigensolutions in closed-form. Consecutively, we consider perturbed systems defined by various added potentials, and set up the wavefunction equation of the perturbed system as a linear combination of the original eigensolutions, introducing an infinite number of a priori unknown coefficients. We utilize the notion of Universal Functions previously introduced for solving complex boundary value problems. An easy-to-use software package for the calculation of eigenpairs has been created. A glimpse of the numerical results will illuminate details of our theory.

作者: I. Ahmed A. R. Baghai-Wadji

作者单位: School of Electrical and Computer Engineering, RMIT University, Melbourne, Victoria 3001, Australia

会议类型: 国际会议

会议名称: Progress in Electromagnetics Research Symposium 2007(2007年电磁学研究新进展学术研讨会)(PIERS 2007)

会议地点: 北京

会议语种:英文

页码: 1215-1219

在线出版日期: 2007-03-26（万方平台首次上网日期，不代表论文的发表时间）