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We consider nonnegative potentials periodic or asymptotically periodic which are related with the coupling term $\\lambda(x)$ by the assumption $|\\lambda(x)|\\leq\\delta\\sqrt{V_{1}(x)V_{2}(x)}$, for some $0<\\delta<1$. 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We consider nonnegative potentials periodic or asymptotically periodic which are related with the coupling term $\\lambda(x)$ by the assumption $|\\lambda(x)|\\leq\\delta\\sqrt{V_{1}(x)V_{2}(x)}$, for some $0<\\delta<1$. 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