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＜電子ブック＞
A Birman-Schwinger Principle in Galactic Dynamics / by Markus Kunze
(Progress in Mathematical Physics. ISSN:21971846 ; 77)

版	1st ed. 2021.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2021
大きさ	X, 206 p. 3 illus., 1 illus. in color : online resource
著者標目	*Kunze, Markus author SpringerLink (Online service)
件　名	LCSH:Mathematical physics LCSH:Operator theory LCSH:Differential equations LCSH:Astronomy FREE:Mathematical Physics FREE:Operator Theory FREE:Differential Equations FREE:Mathematical Methods in Physics FREE:Astronomy, Cosmology and Space Sciences
一般注記	Preface -- Introduction -- The Antonov Stability Estimate -- On the Period Function $T_1$ -- A Birman-Schwinger Type Operator -- Relation to the Guo-Lin Operator -- Invariances -- Appendix I: Spherical Symmetry and Action-Angle Variables -- Appendix II: Function Spaces and Operators -- Appendix III: An Evolution Equation -- Appendix IV: On Kato-Rellich Perturbation Theory 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 applied mathematics HTTP:URL=https://doi.org/10.1007/978-3-030-75186-9

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