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Noncommutative Reduction of the Bloch Equation in the Heisenberg–Weyl Group


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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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