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Wave packet: math question. QT(Bohm's book)

  1. Nov 14, 2015 #1
    Hello,

    In David Bohm,s Quantum Theory, in chapter 3 section 2(motion of pulse of light)
    There is this equation, I could not understand how, integrating LHS produced a sin.

    Please help.

    note:
    LHS: k0 +Δk is super script. I did not know how to put it closer to integration sign.

    Ex(x)= ∫k0-Δk k0+Δk dkeik(x-x0) = 2 ((sin Δk (x-x0)) / (x-x0)) eik0(x-x0)
     
  2. jcsd
  3. Nov 14, 2015 #2

    Nugatory

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    Staff: Mentor

    If you could show us how far you did get, we will be better able to help you.
     
  4. Nov 14, 2015 #3
    Well.. only thing close enough I could think of was (eik - eik)/2
    would make is sin on right hand side.
    Then also eik0(x-x0) would also get carried on on the RHS.
     
  5. Nov 14, 2015 #4

    Nugatory

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    Staff: Mentor

    Look at the bounds of the definite integral.
     
  6. Nov 14, 2015 #5
    I think I have to look at my calculus book.
    I will post if I still have problem.

    Thanks for looking at it.
     
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