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The book introduces a novel method applying the Birman-Schwinger principle from quantum mechanics to assess the stability of steady state solutions in galactic dynamics. It begins with a comprehensive exploration of nonrelativistic dynamics, the Vlasov-Poisson system, and the Antonov stability estimate. The core application characterizes when the optimal constant in the Antonov estimate is achieved. Subsequent chapters delve into the Guo-Lin operator and invariance in the Vlasov-Poisson framework, with appendices providing essential background on related mathematical concepts and theories.
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A Birman-Schwinger Principle in Galactic Dynamics, Markus Kunze
- Language
- Released
- 2022
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- (Paperback)
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- Language
- English
- Authors
- Markus Kunze
- Publisher
- Springer International Publishing
- Released
- 2022
- Format
- Paperback
- Pages
- 216
- ISBN13
- 9783030751883
- Series
- Tags
- Non-Fiction, Science & Math, Nature, Mathematics, Space
- Description
- The book introduces a novel method applying the Birman-Schwinger principle from quantum mechanics to assess the stability of steady state solutions in galactic dynamics. It begins with a comprehensive exploration of nonrelativistic dynamics, the Vlasov-Poisson system, and the Antonov stability estimate. The core application characterizes when the optimal constant in the Antonov estimate is achieved. Subsequent chapters delve into the Guo-Lin operator and invariance in the Vlasov-Poisson framework, with appendices providing essential background on related mathematical concepts and theories.