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Ask for Help: Is there this creation operators?

  1. Jul 6, 2006 #1
    Ask for Help: Is this operator reasonable in physics?

    Is this kind of the operator is reasonable in physical sense?
    [tex]$\sum\limits_{\bf k_x,k_y} \alpha k_x c^\dag_{k_x,k_y}c_{k_x,k_y}$[/tex]

    where [tex] $\alpha$ [/tex] is contant, [tex] k_x , k_y [/tex] is wavevector
    along the x and y direction.
    Last edited: Jul 7, 2006
  2. jcsd
  3. Jul 7, 2006 #2


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    It looks to me as if it's simply counting the total x component of the momentum in a two-dimensional system. The c^\dagger c is just the number operator.

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