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經典電子半徑

靜電學裡,經典電子半徑定義為[1]:69-70[2]:172

其中,是經典電子半徑,單位電荷真空電容率是電子靜止質量光速

古典電子半徑的數值為2.8179 × 10−15

導引

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一個半徑為電荷量為單位電荷的圓球殼的勢能 [3]:94

其中, 是圓球表面, 是面電荷密度電勢 是微小面元素。

電子靜止能量

設定這兩個公式等值,則可得到電子半徑

由於尚未清楚電子內部的電荷密度,所以忽略因子,則可得到經典電子半徑。

康普頓半徑

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電子康普頓半徑的公式為[4]:4

;

其中,普朗克常數

電子康普頓半徑的數值為3.86 × 10−13m。[4]:4

參閱

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註釋

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參考文獻

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  1. ^ Haken, Hermann; et al, The Physics of Atoms and Quanta: Introduction to Experiments and Theory illustrated, Springer Science & Business Media, 2000, ISBN 9783540672746 
  2. ^ Griffiths, David J. Introduction to Quantum Mechanics(2nd ed.). Prentice Hall. 2004. ISBN 0-13-111892-7. 
  3. ^ Griffiths, David J., Introduction to Electrodynamics (3rd ed.), Prentice Hall, 1998, ISBN 0-13-805326-X 
  4. ^ 4.0 4.1 MacGregor, Malcolm, The Enigmatic Electron: A Doorway to Particle Masses 2nd, El Mac Books, 2013, ISBN 978-1886838109 
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經典電子半徑
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