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It is known that electric field operator is shown as

[itex]\hat{E}(r,t)=-i\sum_{k,\lambda}\sqrt{\frac{\hbar\omega_k}{2\epsilon V}}\left(a(t)^\dagger_{k,\lambda} e^{-ik.r} - a(t)_{k,\lambda} e^{ik.r} \right) \hat{e}_{k,\lambda}[/itex]

But if I need to represent an

**electrostatic field**in a quantized form, how to proceed?

Thank you everybody.