English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The influence of boundaries and non-point character of interatomicinteraction on the dispersion law has been studied for a uniform Bose gas in aone-dimensional vessel. The non-point character of interaction was taken intoaccount using the Gross equation, which is more general than theGross-Pitaevskii one. In the framework of this approach, the well-knownBogolyubov dispersion mode \hbar\omega(k)=[(\hbar^{2}k^{2}/2m)^{2}+qn\nu(k)\hbar^{2}k^{2}/m]^{1/2} (q=1) was obtained, as well as a new one,which is described by the same formula, but with q= 1/2. The new mode emergesowing to the account of boundaries and the non-point character of interaction:this mode is absent when either the Gross equation for a cyclic system or theGross-Pitaevskii equation for a cyclic system or a system with boundaries issolved. Capabilities for the new mode to be observed are discussed.

Two dispersion curves for a one-dimensional interacting Bose gas under zero boundary conditions