# Seminars & Colloquia Calendar

## A study of a simple equation that describesÂ the ground-state energy of a Bose gas at low and high density and in dimensions one, two and three

#### Elliott Lieb - Princeton University

Location: ** Hill 705**

Date & time: Thursday, 03 October 2019 at 12:00PM - 1:00PM

Abstract: I will start with a quick review of the simple equation derived in 1964 to calculate the ground state energy E of a dilute Bose gas with 2-body repulsive interactions. It yielded the famous LHY term. Beyond that it suprisingly works reasonably well for all densities. It was then shown to work very well for the 1D delta function gas where the exact E is known and shown to be in error by at most 29%. It works well for quantum jellium also.

In current work with Eric Carlen and Ian Jauslin further results are obtained, partially with the help of modern computers: (a) Rigorous proof of existence of a solution in all D, especially 2D where Schick had derived the answer with great labor (later proved correct with Jakob Yngvason); (b) estimates of the condensate fraction which have an interesting, unforeseen twist at high density; (c) Proof, by computation only, so far, of thermodynamic stability.

Chiara Damiolini, Ian Coley and Franco Rota -Charles Weibel Organizer's Page

Brooke Logan

Wujun Zhang Organizer's webpage

P. Gupta, X.Huang and J. Song Organizer's webpage

Swastik Kopparty, Sepehr Assadi Seminar webpage

Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage

Brooke Ogrodnik, Website

Robert Dougherty-Bliss and Doron Zeilberger --> homepage

Paul Feehan, Daniel Ketover, Natasa Sesum Organizer's webpage

Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage

Jason Saied Seminar webpage

Brian Pinsky, Rashmika Goswami website

Quentin Dubroff Organizer's webpage

James Holland; Organizer website

Edna Jones Organizer's webpage

Brooke Ogrodnik website

Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage

Organizer: Luochen Zhao

Yanyan Li, Zheng-Chao Han, Natasa Sesum, Jian Song Organizer's Page

Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage

Simon Thomas website

Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page

Joel Lebowitz, Michael Kiessling

Yanyan Li, Haim Brezis Organizer's Webpage

Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website

Stephen D. Miller

Brooke Ogrodnik, Website

Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum

Yael Davidov Seminar webpage

Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page

Fioralba Cakoni Seminar webpage

Ebru Toprak, Organizer

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