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Infinite wave train for an electron?

  1. Sep 9, 2003 #1
    The normalization of the free (say, electron) in quantum mechanics is
    achieved by a trick with the dirac delta function. Typically we write the
    orthogonality conditions for u1=c*exp(i*k1*x) and u2=c*exp(i*k2*x) as:


    and then out pops the nomalization constant c=1/sqrt(2*pi*hbar). This is
    great and all, but what does it mean - we still violate the normalization
    condition over all but one length! So what does it mean to 'delta function
    normalize'? There are numerous other simialr situations which lead to the
    same kind of issue.

    Any thoughts?

  2. jcsd
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