Microstructure of He II in the Presence of Boundaries
DOI:
https://doi.org/10.15407/ujpe59.02.0123Keywords:
Bose particles, Bogolyubov dispersion law, Bose liquid, Bose gasAbstract
We have studied the microstructure of a system of interacting Bose particles under zero boundary conditions and have found two possible orderings. One ordering is traditional and is characterized by the Bogolyubov dispersion law E(k) ≈ √︂((︁h^2*k^2/2m)^2) + qnv3(k) ~ (h^2*k^2/m) (q = 1) at a weak interaction. The second one is new and is characterized by the same dispersion law, but with q = 2^−d, where d is the number of noncyclic coordinates. At a weak interaction, the ground-state energy is less for the new solution. The boundaries affect the bulk microstructure due to the difference of the topologies of closed and open systems.
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