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Expanding box

  1. Aug 4, 2007 #1
    I have an infinite well from -a to with a particle in its ground. The initial wavefunction is then

    [tex]\psi(x) = u_1^+(x;a) = cos(\pi x/ 2a)/\sqrt{a}[/tex] for |x| < a.

    In order to get the wavefunction for this particle when box that is instantaneously expanded to [-b,b] should I apply Fourier analysis via

    [tex] a^{+}_n = 1/b \int_{-b}^{b}cos(\pi x/ 2a)/\sqrt{a}\cdot cos(\pi x/ 2b)/\sqrt{b}dx [/tex]

    where a^{+}_n is the coefficient of the even wavefunction with that n in the expanded box?
     
  2. jcsd
  3. Aug 6, 2007 #2

    Meir Achuz

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    Yes, then put in the time dependence.
     
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