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Field name	Details
Dewey Class	530.15
Title	A Birman-Schwinger Principle in Galactic Dynamics ([EBook] /) / by Markus Kunze.
Author	Kunze, Markus
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2021.
Publication	Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2021.
Physical Details	X, 206 p. 3 illus., 1 illus. in color. : online resource.
Series	Progress in Mathematical Physics 2197-1846 ; ; 77
ISBN	9783030751869
Summary Note	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.:
Contents note	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.
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-75186-9
Links to Related Works	Subject References: Astronomy . Astronomy, Cosmology and Space Sciences . Differential Equations . Mathematical Methods in Physics . Mathematical Physics . Operator Theory . Authors: author . Kunze, Markus . Corporate Authors: SpringerLink (Online service) . Series: Progress in Mathematical Physics . Classification: 530.15 .

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A Birman-Schwinger Principle in Galactic Dynamics

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