The Quantization of the Motion of the Liquid

A classical liquid may be described by specifying the density ρ and the current vector j, which are defined in the following manner: (3-1) ρ = ∑ m α   δ ( R − r α ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429502897/20d72e0b-9d39-4175-acc6-a943547edf8a/content/eq51.tif"/> (3-2) j = ∑ p α   δ ( R − r α ) = ∑ m α v α   δ ( R − r α ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429502897/20d72e0b-9d39-4175-acc6-a943547edf8a/content/eq52.tif"/>