Abstract
The elementary excitations of one-dimensional Bose liquids interacting via a soft potential with a Lennard-Jones-type attractive tail are evaluated in the ring-diagram approximation. Starting with this potential, we have evaluated the structure factor, thermodynamic functions, pair-distribution function, ground-state energy, and sound velocity explicitly. The energy spectrum and structure factor resemble the bulk cases, but the minimum energy is much lower and the first peak of the structure factor is higher. The pair-distribution function decreases as ${r}^{\ensuremath{-}2}$ at large distances, which is characteristic of phonons in one dimension. The ground-state energy is expressed analytically in powers of a dimensionless parameter. The expression agrees with the one obtained from a $\ensuremath{\delta}$- function-type potential.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
