| 期刊全称 | A Birman-Schwinger Principle in Galactic Dynamics | | 影响因子2023 | Markus Kunze | | 视频video | | | 发行地址 | Connects a mathematical principle used in quantum mechanics to the study of steady state solutions in galactic dynamics.Presents a novel result in great detail.Includes appendices that cover necessary | | 学科分类 | Progress in Mathematical Physics | | 图书封面 |  | | 影响因子 | This monograph develops an innovative approach that utilizes the Birman-Schwinger principle from quantum mechanics to investigate stability properties of steady state solutions in galactic dynamics. The opening chapters lay the framework for the main result through detailed treatments of nonrelativistic galactic dynamics and the Vlasov-Poisson system, the Antonov stability estimate, and the period function $T_1$. Then, as the main application, the Birman-Schwinger type principle is used to characterize in which cases the “best constant” in the Antonov stability estimate is attained. The final two chapters consider the relation to the Guo-Lin operator and invariance properties for the Vlasov-Poisson system, respectively. Several appendices are also included that cover necessary background material, such as spherically symmetric models, action-angle variables, relevant function spaces and operators, and some aspects of Kato-Rellich perturbation theory. .A Birman-Schwinger Principle in Galactic Dynamics. will be of interest to researchers in galactic dynamics, kinetic theory, and various aspects of quantum mechanics, as well as those in related areas of mathematical physics and a | | Pindex | Book 2021 |
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发表于 2025-3-21 16:21:31
