A wave packet approach to resonant scattering

Author:

Michalik A. M.1,Marsiglio F.1

Affiliation:

1. Department of Physics, University of Alberta , Edmonton, Alberta T6G 2E1, Canada

Abstract

Resonant transmission occurs when constructive interference results in the complete passage of an incoming wave through an array of barriers. In this paper, we explore such a scenario with one-dimensional models. We adopt wave packets with finite width to illustrate the deterioration of resonance with decreasing wave packet width and suggest an approximate wave function for the transmitted and reflected components, derived from aspects of both the wave packet and plane wave approaches. A comparison with exact numerical calculations shows excellent agreement and provides insight into the scattering process.

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

American Association of Physics Teachers (AAPT)

Subject

General Physics and Astronomy

Reference22 articles.

1. LXI, The laws of deflexion of α-particles through large angles;London, Edinburgh Dublin Philos. Mag. J. Sci.,1913

2. Hidden symmetries of electronic transport in a disordered one-dimensional lattice;Phys. Rev. B,2006

3. Impurity scattering of wave packets on a lattice;Phys. Rev. B,2006

4. An excellent discussion of this very issue can be found in T.Norsen , J.Lande , and S. B.McKagan , “How and why to think about scattering in terms of wave packets instead of plane waves,” e-print arXiv:0808.3566 (2008);

5. The pilot-wave perspective on quantum scattering an tunnellng;Am. J. Phys.,2013

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A wave packet approach to resonant scattering;American Journal of Physics;2023-02-01

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3