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

被引：0
作者：
V. P. Maslov
V. E. Nazaikinskii
机构：
[1] National Research University Higher School of Economics,Ishlinsky Institute for Problems in Mechanics
[2] Russian Academy of Sciences,undefined
[3] Moscow Institute of Physics and Technology (State University),undefined
来源：
Mathematical Notes | 2016年 / 100卷
关键词：
arithmetic semigroup; Bose gas; entropy; volume; Lagrange multiplier; conjugate variable; Lagrangian manifold;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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, ∂).
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页码：421 / 428
页数：7
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