We consider the quantum Zakharov system in spatial dimensions greater than 1. The local well-posedness is obtained for initial data of the electric field and of the ion density lying in some Sobolev spaces with certain regularities. For higher dimensions, the results cover the subcritical region. We get major part of the subcritical region for lower dimensions. For the quantum Zakharov system with initial data possessing the critical regularities, the local well-posedness is also proved for spatial dimensions greater than 7. As the quantum parameter approaches zero, we prove the local well-posedness for Zakharov system which improves the known result.
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