Some generalizations of Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities
S. Molchanov, B. Vainberg
TL;DR
This paper discusses advanced mathematical inequalities related to spectral theory, specifically generalizations of Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities, which are important in quantum mechanics and operator theory.
Contribution
The paper introduces new generalizations and extensions of key spectral inequalities, enhancing their applicability and theoretical understanding.
Findings
Extended the scope of Cwikel-Lieb-Rozenblum inequalities
Improved bounds in Lieb-Thirring inequalities
Provided new mathematical tools for spectral analysis
Abstract
The paper is withdrawn by the authors and replaced be an improved and extended version arxiv: 0812.2968
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Taxonomy
TopicsMathematical Inequalities and Applications · Mathematics and Applications