Magnetic Schro¨dinger Operator from the Point of View of Noncommutative Geometry
- Authors: Sergeev A.G.1
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Affiliations:
- Steklov Mathematical Institute
- Issue: Vol 59, No (2016)
- Pages: 192-200
- Section: Articles
- URL: https://journals.rudn.ru/CMFD/article/view/32582
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Abstract
We give an interpretation of magnetic Schro¨dinger operator in terms of noncommutative geometry. In particular, spectral properties of this operator are reformulated in terms of C∗-algebras. Using this reformulation, one can employ the machinery of noncommutative geometry, such as Hochschild cohomology, to study the properties of magnetic Schro¨dinger operator. We show how this idea can be applied to the integer quantum Hall e ect.
About the authors
A. G. Sergeev
Steklov Mathematical Institute
Email: sergeev@mi.ras.ru
Moscow, Russia
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