A Birman-Schwinger principle in galactic dynamics / Markus Kunze.
2021
QC20
Linked e-resources
Linked Resource
Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Details
Title
A Birman-Schwinger principle in galactic dynamics / Markus Kunze.
Author
ISBN
9783030751869 (electronic bk.)
3030751864 (electronic bk.)
9783030751852 (print)
3030751864 (electronic bk.)
9783030751852 (print)
Published
Cham, Switzerland : Birkhäuser, 2021.
Language
English
Description
1 online resource (x, 206 pages) : illustrations (some color)
Item Number
10.1007/978-3-030-75186-9 doi
Call Number
QC20
Dewey Decimal Classification
530.15
Summary
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
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed August 18, 2021).
Series
Progress in mathematical physics ; v. 77. 2197-1846
Linked Resources
Record Appears in
Table of Contents
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.
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.