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Noncommutative reduction of the Bloch equation in the Heisenberg-Weyl group

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Publication:1792469
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DOI10.1007/s11182-018-1434-2zbMath1398.81135OpenAlexW2858034540MaRDI QIDQ1792469

Yanyan Li

Publication date: 12 October 2018

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-018-1434-2


zbMATH Keywords

Heisenberg-Weyl groupstatistical sumnoncommutative integration methodthermodynamics of homogeneous spaces


Mathematics Subject Classification ID

Commutation relations and statistics as related to quantum mechanics (general) (81S05) Statistical thermodynamics (82B30) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)


Related Items

Noncommutative integration of the Klein-Gordon equation in electromagnetic fields admitting functional arbitrariness



Cites Work

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  • The heat kernel on \(\text{AdS}_3\) and its applications
  • Heat kernels on covering spaces and topological invariants
  • Heat kernel expansion: user's manual
  • Application of the \(K\)-orbit method to a solution of thermodynamics problems for noncompact Lie groups
  • Method of orbits of coadjoint representation in thermodynamics of noncompact Lie groups
  • Heat kernels for elliptic and sub-elliptic operators. Methods and techniques
  • The heat kernel weighted Hodge Laplacian on noncompact manifolds
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