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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 物理學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33641
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor陳義裕(Yih-Yuh Chen)
dc.contributor.authorSheng-Chao Chouen
dc.contributor.author周聖超zh_TW
dc.date.accessioned2021-06-13T05:44:06Z-
dc.date.available2011-08-03
dc.date.copyright2011-08-03
dc.date.issued2011
dc.date.submitted2011-07-27
dc.identifier.citation[1] G. E. Uhlenbeck and S. A. Goudsmit, 'Spinning Electrons and the Structure
of Spectra, Nature, 117, 264-265 (1926)
[2] L. H. Thomas, The Motion of the Spinning Electron,' Nature, 117, 514
(1926)
[3] L. H. Thomas, The Kinematics of an Electron with an Axis,' Phil. Mag,
3, 1-22 (1927)
[4] G. Mu~noz, Spin-orbit interaction and the Thomas precession :A comment
on the lab frame point of view,' Am. J. Phys 69, 554-556 (2001)
[5] Hsuan-Shao Kuo, Thomas Precession and the Torque equation from the
Lab Frame Point of View,'NTU M.S Thesis, (2009)
[6] L. Vaidman, Torque and force on a magnetic dipole' Am.J.Phys, 58,
978-983 (1990)
[7] G. P. Fisher, The Electric Dipole Moment of a Moving Magnetic Dipole'
Am. J. Phys 39,1528-1533,(1971)
[8] V. Namias, Electrodynamics of moving dipoles, the case of missing
torque' Am. J. Phys. 57, 171-177 (1989)
[9] D. Bedford, P. Krumm, On the origin fo magnetic dynamics' Am. J.
Phys. 54, 1036 (1986)
25
[10] W. Shockley and R. P. James, Try simplest cases discovery of Hidden
Momentum Forces on Magnetic Currents' Phys. Rev. Lett. 18, 876-879
(1967)
[11] S. Coleman and J. H.Van Vleck, Origin of Hidden Momentum Forces on
Magnets,' Phys.Rev, 171, 1370-1375 (1968)
[12] D. Babson, S. P. Reynolds, R. Bjorkquist and D. J. Gri ths, Hidden
momentum, eld momentum, and electromagnetic impulse,' Am. J. Phys
77, 826-833 (2009)
[13] W. H. Furry, Examples of Mometum Distribution in the Electromagnetic
Field and in Matter' Am. J. Phys 37, 621-636 (1969)
[14] V. Bargmann, L. Michel, V. L. Telegdi, Precession of the Polarization
of Particles Moving in a Homogeneous Electromagnetic Field' Phys. Rev.
Lett. 2, 435 (1959)
[15] Richard A. Muller, Thomas Precession: Where is the torque' Am. J.
Phys. 60, 313 (1992)
[16] J. D. Jackson, Classical Electrodynamic' 2nd ed, pp541-547, Wiley &
Sons(1975)
[17] H. Spohn, Semiclassical Limit of the Dirac Equation and Spin Precession'
Annals of Physics 282, 420-431 (2000)
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33641-
dc.description.abstract計算電子在原子核中的自旋軌道作用我們通常會從電子的座標出發,再經過座標轉換回到實驗室座標.但在2000年Munoz(Am. J. Phys, 69, 554-556,(2001)提供了一個直接在實驗室座標下計算自旋軌道作用的方式,這個方式特別包含了在電磁學經常被忽略的'隱藏動量'Hidden Momentum',而且如同轉換座標的作法引用湯瑪斯進動.在本篇論文中將指出Munoz的方法中有許多錯誤,並提出正確討論此問題的方法.zh_TW
dc.description.abstractThe spin-orbit interaction is traditionally treated in the electron's rest frame.
In 2000, Munoz (Am. J. Phys, 69, 554-556,(2001) ) presented an alternative way of deriving it from the lab frame point of view, explicitly taking account the 'hidden momentum' while retaining the traditional Thomas precession as
a correction to make the final answer with the established result. The present work shows that the inclusion of the latter is misleading, then proposes how
one should approach it in a more systematic way.
en
dc.description.provenanceMade available in DSpace on 2021-06-13T05:44:06Z (GMT). No. of bitstreams: 1
ntu-100-R98222057-1.pdf: 195037 bytes, checksum: a9d7c45ff01a9ae4ebb358d403f91008 (MD5)
Previous issue date: 2011
en
dc.description.tableofcontents1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . 2
2 Background knowledge and conventional approach 5
2.1 The relativistic precession which is kinematic in origin . . . . . 5
2.2 Force and torque on a magnetic dipole . . . . . . . . . . . . . . 8
2.2.1 An electrical dipole is induced for a moving magnetic dipole 8
2.2.2 Hidden Momentum . . . . . . . . . . . . . . . . . . . . . 8
3 Spin-orbit interaction comment on the lab frame of view 12
3.1 Mu~noz's method . . . . . . . . . . . . . . . . . . . . . . . . . . 12
3.2 Kuo's correction . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
3.3 Some caveats and some preview . . . . . . . . . . . . . . . . . . 15
4 The true answer cannot be simpler 17
4.1 The missing' torque of the Thomas Precession simply explained 17
4.2 Spin-orbit interaction . . . . . . . . . . . . . . . . . . . . . . . . 19
4.3 The BMT equation . . . . . . . . . . . . . . . . . . . . . . . . . 21
5 Conclusion. . . . . . . . . . . . . . . . . . . . . . . . 23
dc.language.isoen
dc.subject實驗室座標zh_TW
dc.subject湯瑪斯進動zh_TW
dc.subject自旋軌道作用zh_TW
dc.subject狹義相對論zh_TW
dc.subjectlab frameen
dc.subjectThomas Precessionen
dc.subjectspecial relativityen
dc.subjecthidden momentumen
dc.subjectspin-orbit interactionen
dc.title自旋軌道作用與湯瑪斯進動在實驗室座標研究zh_TW
dc.titleSpin-Orbit interaction and Thomas Precession from the
Lab Frame Point of View
en
dc.typeThesis
dc.date.schoolyear99-2
dc.description.degree碩士
dc.contributor.oralexamcommittee林其隆(Chyi-Lung Lin),蕭先雄(Shian-Shiung Hsiao)
dc.subject.keyword湯瑪斯進動,自旋軌道作用,狹義相對論,實驗室座標,zh_TW
dc.subject.keywordThomas Precession,spin-orbit interaction,special relativity,lab frame,hidden momentum,en
dc.relation.page26
dc.rights.note有償授權
dc.date.accepted2011-07-27
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept物理研究所zh_TW
顯示於系所單位:物理學系

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