An Introduction to Lieb's Simplified Approach to the Bose Gas - Couverture souple

Jauslin, Ian

Couverture souple

ISBN 10 : 3031813928 ISBN 13 : 9783031813924

Editeur : Springer, 2025

Synopsis

This book explores Lieb's Simplified approach to the ground state of systems of interacting bosons. While extensive research has delved into the behavior of interacting bosons, persistent challenges, such as proving Bose-Einstein condensation, remain. Introduced by Lieb in 1963, the Simplified approach has been the object of renewed attention in recent years, revealing surprising and promising results. Notably, this approach provides ground state energy predictions that agree with many-body systems asymptotically at both low and high densities. It further predicts a condensate fraction and correlation function that agree with Bogolyubov theory at low densities, and numerical predictions match quantum Monte Carlo simulations across all densities. This suggests that Lieb's Simplified approach could serve as a potent tool for reimagining the study of interacting bosons.

The book defines Lieb's Simplified approach, discusses its predictions, and presents known analytical and numerical results. It is designed for advanced students and young researchers working in the fields of mathematical physics, quantum many-body physics and Bose-Einstein condensates.

A propos du livre

À propos de l?auteur

Ian Jauslin earned his PhD from the University of Rome Sapienza in 2016, specializing in mathematically rigorous implementations of the Renormalization Group method. Following his doctoral studies, he undertook a postdoctoral position at the Institute for Advanced Study in Princeton, with a brief interim period at the University of Zurich. Subsequently, Ian embarked on a second postdoctoral position at Princeton University, collaborating with Elliott Lieb from 2018 to 2021. It was during this period that, in collaboration with Eric Carlen, they initiated research on the Simplified Approach to the Bose gas. In the fall of 2021, Ian Jauslin transitioned to Rutgers University, assuming a tenure-track role as Assistant Professor.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2025
• Langue: anglais
• ISBN 10: 3031813928
• ISBN 13: 9783031813924
• Reliure: Broché
• Nombre de pages: 116
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne