Russian Physics Journal

, Volume 61, Issue 3, pp 556–565 | Cite as

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

  • D. A. IvanovEmail author
  • A. I. Breev

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.


noncommutative integration method thermodynamics of homogeneous spaces Heisenberg–Weyl group statistical sum 


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.National Research Tomsk State UniversityTomskRussia

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