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He-4 is known to become superfluid at very low temperatures. This effect isnow generally accepted to be connected with BEC (Bose-Einstein Condensation).The dispersion relation of pressure waves in superfluid He-4 has beendetermined at 1.1 {\deg}K by Yarnell et al., and exhibits a non monotonicbehavior - with a maximum and a minimum - usually explained in terms ofexcitations called rotons, introduced by Landau. In the present work an attemptis made to describe the phenomenon within the bohmian interpretation of QM. Tothis end, the effects of the intermolecular potential, taken to be essentiallyof the Lennard-Jones type modified to account for molecule finiteness, areincluded as a Vlasov-type self-consistent field. A dispersion relation isfound, that is in quite good agreement with Yarnell's curve.  Keywords: Bohm potential; Intermolecular potential; Dispersion relation;Superfluid He-4; First sound.  PACS: 05.30.Jp; 05.20.Dd; 03.75.Kk; 67.25.dt

Dispersion Relation of Longitudinal Waves in Liquid He-4 in the Framework of Quantum Macroscopic Equations derived from Bohm's Potential