Magnetic Schro¨dinger Operator from the Point of View of Noncommutative Geometry
- Авторлар: Sergeev A.G.1
-
Мекемелер:
- Steklov Mathematical Institute
- Шығарылым: Том 59, № (2016)
- Беттер: 192-200
- Бөлім: Articles
- URL: https://journals.rcsi.science/2413-3639/article/view/347283
- ID: 347283
Дәйексөз келтіру
Аннотация
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.
Әдебиет тізімі
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