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  {\bf University of Kentucky, Physics 520 \\
    Homework \#4, Rev. A, due Friday, 2015-09-23 }
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{\bf 0.} Griffiths [2ed]
Ch.~1 %\#4, %p14, tent wave function
      \#5, %p14, exponential (delta fn)
      \#6, %p18, integration by parts?
      \#7, %p18, Ehrenfest' thm
      \#8. %p18, const potential->phase in time
      \#9, %p20, uncertainty principle Gaussian
      %\#14. %p21, probabiltiy current [in class]
      \#15. %p22, wave function for unstable particle (leads to Breit-Wigner?)
      \#16. %p22, time variation
      %\#17. %p23, parabola [long!]
      \#18. %p24, thermal/quantum scales

{\bf 1.} Calculate and plot the {\bf Fourier transform} $\psi(x) =
\int_{-\infty}^\infty dk\, A(k) e^{ikx}$ of a square frequency distribution
$A(k)=A_0$ if $k_1< k < k_2$ and 0 otherwise.  Calculate the uncertainty
$\Delta k$ in frequency.  Show that the Heisenberg uncertainty principle holds
for this wavefunction, but very badly!

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