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B How to develop in series?

  1. May 3, 2016 #1
    How to develop in series as in the image below? What does the third term signify? 1462258388878.jpg
  2. jcsd
  3. May 3, 2016 #2


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    It is a simple Taylor expansion of the relativistic energy.
  4. May 3, 2016 #3
    Thank you.
  5. May 3, 2016 #4
    What does the third term signify? 1462261373421.jpg
  6. May 3, 2016 #5


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    It doesn't have a name or any particular meaning as far as I am aware.

    If you are measuring the energy of particles, say, when v is high enough for this term to be measurable then you ought to be using the relativistic formula for energy. Below that velocity the Newtonian approximation is good enough.
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