Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori

DOI10.1016/j.aim.2022.108815zbMath1504.58006arXiv2103.16869OpenAlexW4311486356MaRDI QIDQ2111225

Yanyan Li

Publication date: 28 December 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.16869

zbMATH Keywords

Schrödinger operatorsnoncommutative geometryLaplace-Beltrami operatorsCwikel estimatescurved noncommutative tori

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Pseudodifferential and Fourier integral operators on manifolds (58J40) Noncommutative geometry (à la Connes) (58B34)

Related Items (2)

Connes' integration and Weyl's laws ⋮ Noncommutative Wiener–Wintner type ergodic theorems

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