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advanced_notions:thomas_precession [2019/06/10 10:15]
jakobadmin [Abstract]
advanced_notions:thomas_precession [2019/06/10 10:20]
jakobadmin [Abstract]
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 <tabbox Abstract> ​ <tabbox Abstract> ​
 +Abstractly, the Thomas precession is due to an additional rotation the spin of the particle pics up as a result of of the orbit movement. In this sense, the phenomenon is due to a [[advanced_tools:​geometric_phase|geometric phase]]/​Berry phase.
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 +From a group theoretic perspective,​ Thomas precession occurs because Lorentz boost do not commute. For example, we have 
 +$$[K_y,​\,​K_x] = i\,J_z \, .$$
 +The rotation that we get by combining boosts is known as a Wigner rotation.
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 +---
  
 <​blockquote>​{{ :​advanced_notions:​thomas_precession.jpg?​nolink&​200|}}[T]he revolution of the particle around the nucleus can be interpreted as a sequence of Lorentz boosts.[...] Abstractly, the effect is due to Wigner rotations [3] that appear in representations of the Poincaré group, so it is purely kinematical—it follows solely from space-time symmetries. <​cite>​https://​arxiv.org/​abs/​1711.05753</​cite></​blockquote>​ <​blockquote>​{{ :​advanced_notions:​thomas_precession.jpg?​nolink&​200|}}[T]he revolution of the particle around the nucleus can be interpreted as a sequence of Lorentz boosts.[...] Abstractly, the effect is due to Wigner rotations [3] that appear in representations of the Poincaré group, so it is purely kinematical—it follows solely from space-time symmetries. <​cite>​https://​arxiv.org/​abs/​1711.05753</​cite></​blockquote>​
advanced_notions/thomas_precession.txt · Last modified: 2019/06/10 10:20 by jakobadmin