Microstructure of He II in the presence of boundaries

Abstract

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^2 = (h^2 k^2/2m)^{2} + qnν(k)[h^2 k^2/m] (with q=1) at a weak interaction. The second one is new and is characterized by the same dispersion law, but with q=2^{-f}, where $f$ 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.

17 pages, 2 figures, v5: explanations are revised; v6: journal version

References in corpus (2)

• Bosonizing one-dimensional cold atomic gases
• Sound propagation in a cylindrical Bose-condensed gas

Cited by in corpus (1)

• Low-lying energy levels of a one-dimensional weakly interacting Bose gas under zero boundary conditions