A Dixmier trace formula for the density of states

DOI10.1007/s00220-020-03756-7OpenAlexW2981514641MaRDI QIDQ779663

Dmitriy Zanin, Nurulla A. Azamov, Edward McDonald, Pheodor A. Sukochev

Publication date: 14 July 2020

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

Full work available at URL: https://arxiv.org/abs/1910.12380

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (7)

The density of states depends on the domain ⋮ Dixmier trace and the DOS of magnetic operators ⋮ The noncommutative geometry of the Landau Hamiltonian: differential aspects ⋮ An application of singular traces to crystals and percolation ⋮ The geometry of (non-abelian) Landau levels ⋮ A general Dixmier trace formula for the density of states on open manifolds ⋮ The noncommutative geometry of the Landau Hamiltonian: metric aspects

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