Magnetic Schrödinger operator from the point of view of noncommutative geometry

DOI10.1007/s10958-018-3974-yzbMath1402.81152OpenAlexW2887023143MaRDI QIDQ1618301

Armen Glebovich Sergeev

Publication date: 13 November 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3974-y

Mathematics Subject Classification ID

Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Cites Work

• Geometric invariants of the quantum Hall effect
• Noncommutative Bloch theory
• The noncommutative geometry of the quantum Hall effect
• Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces inK-theory
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