  Let $\mathcal{L}=-\Delta+\mathit{V}(x)$ be a Schr\"{o}dinger operator, where
$\Delta$ is the Laplacian operator on $\mathbb{R}^{d}$ $(d\geq 3)$, while the
nonnegative potential $\mathit{V}(x)$ belongs to the reverse H\"{o}lder class
$B_{q}, q>d/2$. In this paper, we study weighted compactness of commutators of
some Schr\"{o}dinger operators, which include Riesz transforms, standard
Calder\'{o}n-Zygmund operatos and Littlewood-Paley functions. These results
generalize substantially some well-know results.
