  In this paper, we say that a rank 2 bundle splits if it is given by an
extension of two line bundles. In the previous works, we gave a necessary
condition for Lazarsfeld-Mukai bundles of rank 2 to split, under a numerical
condition ([W2], Theorem 3.1). We gave the splitting types of them on a smooth
quartic hypersurface in P3 ([W2], Proposition 3.1) as a corollary of it.
However, the assertion of it contains a few mistakes. In this paper, we correct
them, and give an application of the results in [W2].
