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research article

Universal monotonicity of eigenvalue moments and sharp Lieb-Thirring inequalities

Stubbe, Joachim  
2010
Journal Of The European Mathematical Society

We show that phase space bounds on the eigenvalues of Schrodinger operators can be derived from universal bounds recently obtained by E. M. Harrell and the author via a monotonicity property with respect to coupling constants. In particular, we provide a new proof of sharp Lieb-Thirring inequalities.

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Type
research article
DOI
10.4171/JEMS/233
Web of Science ID

WOS:000281956000002

Author(s)
Stubbe, Joachim  
Date Issued

2010

Published in
Journal Of The European Mathematical Society
Volume

12

Start page

1347

End page

1353

Subjects

Universal bounds for eigenvalues

•

spectral gap

•

phase space bounds

•

Lieb-Thirring inequalities

•

Schrodinger operators

•

Riesz Means

•

Conjecture

•

Operators

•

Bounds

•

Proof

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
MATHGEOM  
Available on Infoscience
December 16, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/74805
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