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Extra Form
deadline Apr 25, 2024
  •  일시: 4월 12일 16:00~17:30(QnA포함)
  •  장소: 상산수리관 대강당
  •  연사:

Jan Philip Solovej(코펜하겐 대학교)

- 유럽 수학회 회장 (2023년~2026년)

- 현재 코펜하겐 대학교 QMath 그룹 리더

- 해석학을 기반으로하는 수리물리학 분야의 석학

- https://en.wikipedia.org/wiki/Jan_Philip_Solovej

 

  • 강연정보

On dilute quantum gases

I will give an overview of the mathematical description of quantum many-body systems, in particular, the ground states of gases of many interacting identical particles. Such systems can be experimentally implemented in (very) cold atomic gases. The atoms are either bosons (e.g. Lithium7) or fermions (e.g., Lithium6).

Bosons in three dimensions at very low temperature form Bose-Einstein condensates (although we do not know how to show this rigorously) and become superfluid. I will discuss recent rigorous results on the ground state energy of Bose gases in the limit when they become dilute. I will discuss both 1,2, and 3 dimensions. The asymptotic formula for the ground state energy in 3 dimensions, the celebrated Lee-Huang-Yang formula, is in agreement with the theory of superfluidity and thus validates aspects of the theory. I will also briefly review some results about Fermi gases. This is based on work with Agerskov, Fournais, and Reuvers.

 

 

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