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Recently I. Tokatly and O. Pankratov (''TP'', Phys. Rev. B 60, 15550 (1999))used velocity moments of a semiclassical kinetic equation to derive ahydrodynamic description of electron motion in a degenerate electron gas.Independently, the present authors (Theochem 501-502, 327 (2000)) usedconsiderations arising from the Harmonic Potential Theorem (Phys. Rev. Lett.73, 2244 (1994)) to generate a new form of high-frequency hydrodynamics forinhomogeneous degenerate electron gases (HPT-N3 hydrodynamics). We show herethat TP hydrodynamics yields HPT-N3 hydrodynamics when linearized about aThomas-Fermi groundstate with one-dimensional spatial inhomnogeneity.Comment: 17p

Collisionless hydrodynamics for one-dimensional motion of inhomogeneous degenerate electron gases: Equivalence of two recent descriptions