Noncommutative Reduction of the Bloch Equation in the Heisenberg–Weyl Group
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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.
Keywordsnoncommutative integration method thermodynamics of homogeneous spaces Heisenberg–Weyl group statistical sum
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- 11.A. A. Magazev, V. V. Mikheyev, and I. V. Shirokov, SIGMA, No. 11, 66–17 (2015).Google Scholar
- 12.I. V. Shirokov, K-Orbits, Harmonic Analysis in Homogeneous Spaces, and Integration of Differential Equations [in Russian], Preprint, Omsk State University, Omsk (1998).Google Scholar
- 13.A. A. Magazev, TSPU Bulletin, No. 12 (153), 152–157 (2014).Google Scholar
- 14.V. G. Bagrov, V. V. Belov, V. N. Zadorozhnyi, and A. Yu. Trifonov, Methods of Mathematical Physics: I. Principles of Complex Analysis, II. Elements of Variational Calculus and the Theory of Generalized Functions [in Russian], NTL Publishing House, Tomsk (2002).Google Scholar