Noncommutative Reduction of the Bloch Equation in the Heisenberg–Weyl Group
- Authors: Ivanov D.A.1, Breev A.I.1
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Affiliations:
- National Research Tomsk State University
- Issue: Vol 61, No 3 (2018)
- Pages: 556-565
- Section: Article
- URL: https://ogarev-online.ru/1064-8887/article/view/240365
- DOI: https://doi.org/10.1007/s11182-018-1434-2
- ID: 240365
Cite item
Abstract
The Bloch equation in the Heisenberg–Weyl group is considered. A λ-representation of the Lie algebra of a Heisenberg–Weyl group of arbitrary dimensionality is constructed, and an expression for the statistical sum in the Heisenberg–Weyl group is obtained. Expressions for the statistical sum of the Heisenberg–Weyl group and other thermodynamic quantities are analyzed.
About the authors
D. A. Ivanov
National Research Tomsk State University
Author for correspondence.
Email: ivanofdm@phys.tsu.ru
Russian Federation, Tomsk
A. I. Breev
National Research Tomsk State University
Email: ivanofdm@phys.tsu.ru
Russian Federation, Tomsk
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