5 research outputs found
Symmetry properties of the ground state of the system of interacting spinless bosons
We perform the symmetry analysis of the properties of the ground state of a
finite system of interacting spinless bosons for the three most symmetric
boundary conditions (BCs): zero BCs with spherical and circular symmetries, as
well as periodic BCs. The symmetry of the system can lead to interesting
properties. For instance, the density of a periodic Bose system is an exact
constant: . Moreover, under the perfect spherical
symmetry of BCs, the crystalline state cannot produce the Bragg peaks. The main
result of the article is that symmetry properties and general
quantum-mechanical theorems admit equally both crystalline and liquid ground
state for a Bose system of any density.Comment: 21 pages, no figures; v2: sections are rearranged; a discussion of
fractional statistics is added in section