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Symmetry properties of the ground state of the system of interacting spinless bosons - MaRDI portal

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Symmetry properties of the ground state of the system of interacting spinless bosons

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Publication:6386985

DOI10.1063/10.0013277arXiv2112.14641MaRDI QIDQ6386985

Author name not available (Why is that?)

Publication date: 29 December 2021

Abstract: 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: ho(extbfr)=const. 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.












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