Abstract
It was perhaps F. London1> who first pointed· out the difficulty of defining local yelocity operators to transcribe Landau's quantum hydrodynamics2> literally ·into microscopic theory. It is related with the fact that the particle density operator has no inverse. In connection with their collective description 'of He 11,8> however, Yamasaki, Kebukawa, and Sunakawa4> have recently claimed that onecan define velocity operators which are commutative and rotation-free in the case of Bose fluids. The aim of the present letter is to point out that the mathematical consistency of their proof is dubious. They ··define a number of operators by iteration or equivalently by integral equa. tions. To make our argument explicit and definite, let us take the operator
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