Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds

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• 作者：V. P. Maslov ; V. E. Nazaikinskii
• 关键词：arithmetic semigroup ; Bose gas ; entropy ; volume ; Lagrange multiplier ; conjugate variable ; Lagrangian manifold
• 刊名：Mathematical Notes
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：100
• 期：3-4
• 页码：421-428
• 全文大小：616 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1573-8876
• 卷排序：100

文摘

For an arithmetic semigroup (G, ∂), we define entropy as a function on a naturally defined continuous semigroup Ĝ containing G. The construction is based on conditional maximization, which permits us to introduce the conjugate variables and the Lagrangian manifold corresponding to the semigroup (G, ∂).