The Lieb-Thirring Inequality for Interacting Systems in Strong-Coupling Limit

Kogler, Kevin und Nam, Phan Thanh (2021): The Lieb-Thirring Inequality for Interacting Systems in Strong-Coupling Limit. In: Archive for Rational Mechanics and Analysis, Bd. 240, Nr. 3: S. 1169-1202

Abstract

We consider an analogue of the Lieb-Thirring inequality for quantum systems with homogeneous repulsive interaction potentials, but without the antisymmetry assumption on the wave functions. We show that in the strong-coupling limit, the Lieb-Thirring constant converges to the optimal constant of the one-body Gagliardo-Nirenberg interpolation inequality without interaction.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0003-9527
• Sprache: Englisch