Physics – Mathematical Physics
Scientific paper
2005-06-20
Physics
Mathematical Physics
Scientific paper
We prove a Lieb-Thirring type inequality for potentials such that the associated Schr\"{o}dinger operator has a pure discrete spectrum made of an unbounded sequence of eigenvalues. This inequality is equivalent to a generalized Gagliardo-Nirenberg inequality for systems. As a special case, we prove a logarithmic Sobolev inequality for infinite systems of mixed states. Optimal constants are determined and free energy estimates in connection with mixed states representations are also investigated.
Dolbeault Jean
Felmer Patricio
Loss Michael
Paturel Eric
No associations
LandOfFree
Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-104291