Mathematical Physics: Classical Mechanics

· UNITEXT Книга 109 · Springer
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683
Π‘Ρ‚Ρ€Π°Π½ΠΈΡ†ΠΈ

Π—Π° Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°

As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics.

The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.

As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fasc...

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1 Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΡ˜Π°

Π—Π° Π°Π²Ρ‚ΠΎΡ€ΠΎΡ‚

Andreas Knauf is a professor of mathematics at the Friedrich-Alexander UniversitΓ€t Erlangen-NΓΌrnberg. His research interests include classical, quantum and statistical mechanics.

He is the author, with Markus Klein, of the book β€šClassical Planar Scattering by Coulombic Potentialsβ€˜ and, with Yakov Sinai, of the book β€šClassical Nonintegrability, Quantum Chaosβ€˜.

Andreas Knauf is a professor of mathematics at the Friedrich-Alexander UniversitΓ€t Erlangen-NΓΌrnberg. His research interests include classical, quantum and statistical mechanics. He is the author, with Markus Klein, of the book β€šClassical Planar Scattering by Coulombic Potentialsβ€˜ and, with Yakov...

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ПовСќС од Andreas Knauf

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