English  |  正體中文  |  简体中文  |  Items with full text/Total items : 26987/38787
Visitors : 2280168      Online Users : 35
RC Version 4.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Adv. Search
LoginUploadHelpAboutAdminister

Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41162

Title: Gauge-invariant amplitudes of relativistic multipole transitions
Authors: 周祥順
Keywords: transition amplitude
gauge-invariant
Date: 2016
Issue Date: 2017-02-09T07:17:01Z
Abstract: Abstract: In the conventional formulation [1], the amplitudes of relativistic multipole transitions are gauge-dependent for the nonresonant transitions. This is due to the fact that the transition matrix for longitudinal potentials vanish only for the resonant transitions. In this paper, we obtain the amplitudes of relativistic multipole transitions from the gauge-invariant formulation [2]. We show that the transition matrix for the longitudinal potential vanish for all transitions. Therefore, the transition amplitudes are gauge-invariant order by order for all transitions. The two formulations agree for the resonant transitions. For the nonresonant transitions, the gauge-invariant formulation gives the correct result, whereas the conventional formulation gives an incorrect result. For the electric dipole transitions, the Coulomb gauge leads to the corrected dipole velocity form of the matrix element in the nonrelativistic limit and the Babushkin gauge gives the dipole length form. With the corrected dipole velocity form, the conventional formulation is gauge-invariant for all transitions.
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41162
Appears in Collections:[光電科學研究所] 演講及研討會

Files in This Item:

File Description SizeFormat
index.html0KbHTML56View/Open


All items in NTOUR are protected by copyright, with all rights reserved.

 


著作權政策宣告: 本網站之內容為國立臺灣海洋大學所收錄之機構典藏,無償提供學術研究與公眾教育等公益性使用,請合理使用本網站之內容,以尊重著作權人之權益。
網站維護: 海大圖資處 圖書系統組
DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback