On the Calculation of Polynomially Perturbed Harmonic Oscillators

摘要：

we propose an easy-to-implement method for the calculation of eigenfunctions of polynomially perturbed higher-order quantum harmonic oscillators. Our method is based upon using the eigensolutions of the unperturbed harmonic oscillator as auxiliary gauging functions. The obtained eigenfunctions of perturbed harmonic oscillators can be used as a complete set of functions for analyzing related boundary value problems. Alternatively, the eigenfunctions can be utilized as the starting point for the calculation of even-order polynomial perturbations.

作者: P. Peidaee A. R. Baghai-Wadji

作者单位: School of Electrical and Computer Engineering, RMIT University, Melbourne, Victoria, 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: 1220-1223

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）