The Lieb–Thirring Inequality for Interacting Systems in Strong-Coupling Limit
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...
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Published in | Archive for rational mechanics and analysis Vol. 240; no. 3; pp. 1169 - 1202 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.06.2021
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | 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. |
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ISSN: | 0003-9527 1432-0673 |
DOI: | 10.1007/s00205-021-01633-8 |