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Asymptotic relation

  1. Apr 16, 2010 #1
    1. The problem statement, all variables and given/known data

    Show that the corrections to the asymptotic relation [tex]\int ^x _B dt \sqrt{E-V(t)} \sim x\sqrt {E} + I (x \rightarrow \infty) [/tex] where [tex] I = \int ^\infty _B dt[\sqrt{E-V(t)}-\sqrt{E}] - B\sqrt{E} [/tex] vanish as [tex] x \rightarrow \infty [/tex] if [tex] V(x) \rightarrow 0 [/tex] faster than [tex] 1/x [/tex]

    2. Relevant equations

    3. The attempt at a solution

    Don't know how to do it at all.
    Last edited: Apr 17, 2010
  2. jcsd
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