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A small-scale density of states formula

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Publication:1416899
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DOI10.1007/s00220-003-0817-5zbMath1045.53056OpenAlexW1973152599MaRDI QIDQ1416899

John A. Toth

Publication date: 16 December 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-003-0817-5


zbMATH Keywords

quantizationdensity of statesmicrolocal Weyl law


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Global Riemannian geometry, including pinching (53C20) Geometric quantization (53D50) Perturbations of PDEs on manifolds; asymptotics (58J37)


Related Items (1)

\(L^{2}\)-restriction bounds for eigenfunctions along curves in the quantum completely integrable case




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