数学物理及偏微分方程国际系列论坛（1）：Energy Asymptotics for Bose Stars

发布时间：2024-05-09 作者：浏览次数：

Speaker:	Professor Robert Seiringer, Institute of Science and Technology Austria	DateTime:	Beijing time: 17: 00-18: 00, May 13 (Monday), 2024 Vienna time: 11: 00-12: 00, May 13 (Monday), 2024
Brief Introduction to Speaker: Robert Seiringer现为奥地利科技研究院教授、奥地利科学院院士、欧洲科学院院士，曾担任国际数学物理联盟主席。主要从事量子多体系统分析方面的理论研究，在Ann. of Math.、Invent. Math.、JAMS、CPAM、Duke Math. J.、JEMS等国际顶尖数学期刊上发表论文近150篇，现为Comm. Math. Phys.主编。 Zoom Meeting https://us06web.zoom.us/j/4306474095?pwd=neOkgT0fnB41fX5ueNPr7gGvNE2zvE.1&omn=84772137177		Place:	Zoom Meeting ID: 430 647 4095, Passcode: 202405
Abstract: We investigate the ground state energy of $N$ non-relativistic bosons with Newtonian gravitational attraction, and prove a two-term asymptotics of the form $N^3 e_{\rm H} + N^2 \infspec H_{\rm Bog} + o(N^2)$ as $N\to \infty$, where the leading term is the well-known Hartree approximation, while $H_{\rm Bog}$ denotes a suitable Bogoliubov Hamiltonian obtained as a quantization of the Hessian of the Hartree functional. More generally, we validate the Bogoliubov approximation for the ground state energy of translation-invariant Bose systems with attractive interactions in the mean-field limit. (Joint work with Morris Brooks.)