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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.

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# Ask for Help: Is there this creation operators?

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