Abstract
Based on the known theories of fluid mechanics, we research the new quantum fluid mechanics by operator method. Further, we discuss its various developments combined the extensive quantum theory and other theories. Finally, we search possible applications in some aspects: in biology many systems are fluids; in astronomy binary stars, the density wave theory and evolutionary direction on spiral galaxies, and sunspot are researched; in geosciences earthquake, formation of basin and hydrocarbon layer are proposed; in social sciences the social hydrodynamics and corresponding waves and tides, the social synergetics, corruption, etc., are discussed.
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