Maybe wrong in Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential

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Picture below is from 406th page of Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential. The $V$ is $C^2$ and $0$ is a nondegenerate critical point of $V$. How to get the red box ? In fact, I think it is wrong. Since $z+hy$ can be large, the remainder, in Taylor, can't be omitted. There should be $|z+hy|^3...$

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