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 ...
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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.
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Add this copy of A Birman Schwinger Principle in Galactic Dynamics (Hb to cart. $112.47, new condition, Sold by Books International rated 4.0 out of 5 stars, ships from Toronto, ON, CANADA, published 2021 by Birkhauser.
Add this copy of A Birman-Schwinger Principle in Galactic Dynamics to cart. $150.29, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Springer Nature Switzerland AG.
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New. Print on demand Contains: Illustrations, black & white, Illustrations, color. Progress in Mathematical Physics . X, 206 p. 3 illus., 1 illus. in color. Intended for professional and scholarly audience.
Add this copy of A Birman-Schwinger Principle in Galactic Dynamics to cart. $150.29, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2021 by Birkhauser.
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New. Print on demand Sewn binding. Cloth over boards. 206 p. Contains: Unspecified, Illustrations, black & white, Illustrations, color. Progress in Mathematical Physics, 77.
Add this copy of A Birman-Schwinger Principle in Galactic Dynamics to cart. $154.47, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2022 by Springer Nature Switzerland AG.
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New. No dust jacket. Contains: Illustrations, black & white, Illustrations, color. Progress in Mathematical Physics . X, 206 p. 3 illus., 1 illus. in color. Intended for professional and scholarly audience.
