Kogler, Kevin and Nam, Phan Thanh
(2021):
The Lieb-Thirring Inequality for Interacting Systems in Strong-Coupling Limit.
In: Archive for Rational Mechanics and Analysis, Vol. 240, No. 3: pp. 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.
| Item Type: | Journal article |
|---|---|
| Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
| Subjects: | 500 Science > 510 Mathematics |
| ISSN: | 0003-9527 |
| Language: | English |
| Item ID: | 99666 |
| Date Deposited: | 05. Jun 2023 15:32 |
| Last Modified: | 05. Jun 2023 15:32 |
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