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advanced_tools:geometric_phase [2018/04/09 08:57]
lushikatome ↷ Page name changed from advanced_tools:berry_phase to advanced_tools:geometric_phase
advanced_tools:geometric_phase [2019/02/09 10:02]
129.13.36.189 [Concrete]
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 A famous example is a Foucault pendulum. Such a pendulum is expected to return to its original position after a full rotation of the earth in 24 hrs. However, it doesn’t. It picks up an angle, called Hannay’s angle. A famous example is a Foucault pendulum. Such a pendulum is expected to return to its original position after a full rotation of the earth in 24 hrs. However, it doesn’t. It picks up an angle, called Hannay’s angle.
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 +[{{ :​advanced_tools:​geometricphase.png?​nolink |Source: https://​edoc.ub.uni-muenchen.de/​17735/​1/​Atala_Marcos.pdf}}]
  
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   * Geometric phases also exist in classical mechanics, like for example Hannay'​s angle. For a discussion of Hannay'​s angle, see Section 4.6.3 [[http://​www.damtp.cam.ac.uk/​user/​tong/​dynamics/​clas.pdf|here]] and also [[http://​cmt.nbi.ku.dk/​student_projects/​bachelor_theses/​BachelorThesisMortenIbMunk-Nielsen.pdf|Geometric phases in classical mechanics]] by  Morten Ib Munk-Nielsen   * Geometric phases also exist in classical mechanics, like for example Hannay'​s angle. For a discussion of Hannay'​s angle, see Section 4.6.3 [[http://​www.damtp.cam.ac.uk/​user/​tong/​dynamics/​clas.pdf|here]] and also [[http://​cmt.nbi.ku.dk/​student_projects/​bachelor_theses/​BachelorThesisMortenIbMunk-Nielsen.pdf|Geometric phases in classical mechanics]] by  Morten Ib Munk-Nielsen
   * The standard reference is "​Geometric Phases in Physics"​ edited by Alfred Shapere and Frank Wilczek   * The standard reference is "​Geometric Phases in Physics"​ edited by Alfred Shapere and Frank Wilczek
 +  * A great discussion of the Hannay angle can be found in Spivak'​s Physics for Mathematicians.
  
    
advanced_tools/geometric_phase.txt · Last modified: 2019/02/09 10:02 by 129.13.36.189