量子层析奥布里-马瑟理论

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI:10.1063/5.0127998

A. Shabani, F. Khellat

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引用次数: 1

摘要

本文从层析的角度研究了奥布里-马瑟理论的量子模拟。为了得到一个定义良好的量子相空间实数分布函数，该函数可以作为变分作用最小化问题的解，我们利用反Radon变换对量子马瑟测度进行重构，并证明得到的层析图也是量子马瑟问题的解，并且在半经典意义上收敛于经典马瑟测度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quantum tomographic Aubry–Mather theory

In this paper, we study the quantum analog of the Aubry–Mather theory from a tomographic point of view. In order to have a well-defined real distribution function for the quantum phase space, which can be a solution for variational action minimizing problems, we reconstruct quantum Mather measures by means of inverse Radon transform and prove that the resulting tomograms, which are fair and non-negative distribution functions, are also solutions of the quantum Mather problem and, in the semi-classical sense, converge to the classical Mather measures.

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.