Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori
@article{Mcdonald2021DixmierTF, title={Dixmier trace formulas and negative eigenvalues of Schr{\"o}dinger operators on curved noncommutative tori}, author={Edward Mcdonald and Raphael Ponge}, journal={Advances in Mathematics}, year={2021} }
2 Citations
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References
SHOWING 1-10 OF 113 REFERENCES
The spectrum of singular boundary problems
- Engineering
- 1961
A poultry drinking cup having a cup body with an input opening for engagement with a water feed line. Valve means control the flow of water through the input opening into the cup body and the cup is…
Existence de traces non normales
- C. R. Acad. Sci. Paris Sŕ. A-B
- 1966
Introduction to Noncommutative Analysis and Integration. Lectures at CIMPA School Noncommutative Geometry and Applications to Quantum Physics
- Quy Nhon, Vietnam,
- 2017
Asymptotics of the spectrum of variational problems on solutions of elliptic equations
- Mathematics
- 1979
ON THE BOUND STATES OF A GIVEN POTENTIAL.
- BiologyProceedings of the National Academy of Sciences of the United States of America
- 1961
Ribosomes from genetic negatives are suspended in an extract containing large amounts of active e-galactosidase and washed three times prior to being lay-ity of ribosome from genetic positives and ered on the sucrose gradient.
Noncommutative Geometry
- Mathematics
- 1997
Noncommutative Spaces It was noticed a long time ago that various properties of sets of points can be restated in terms of properties of certain commutative rings of functions over those sets. In…
K-theory, arithmetic and geometry (Moscow
- Lecture Notes in Math.,
- 1986
Cwikel estimates and negative eigenvalues of Schrödinger operators on noncommutative tori
- MathematicsJournal of Mathematical Physics
- 2022
In this paper, we establish Cwikel-type estimates for noncommutative tori for any dimension n ≥ 2. We use them to derive Cwikel–Lieb–Rozenblum inequalities and Lieb–Thirring inequalities for negative…