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Influence of Position-Dependent Effective Mass on One-Dimensional Bose-Einstein Condensates Using the Von Roos Approach - Few-Body Systems

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By Hassiba Benbouali, Ouled Fares, LRPPS Laboratory
| link.springer.com
Abstract In this paper, we study quantum droplets in one dimension under the influence of spacetime curvature by redefining the momentum operator, resulting in a maximum length and a minimum momentum, consistent with anti-de Sitter space (AdS). By examining this effect through the \(\alpha \) parameter on the exact solution of free quantum droplets, we found that the relationship between the number of atoms and the chemical potential differs from the ordinary case.
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