Cabg318 发表于 2025-3-25 05:37:23

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禁令 发表于 2025-3-25 10:15:57

https://doi.org/10.1007/978-3-662-02480-5er on classical mechanics, we present a modern formulation of the Liouville theorem due to Arnold, discuss the symmetry origin of conservation laws and give a number of representative examples of integrable models. Also, we introduce the main tools for exhibiting and studying classical integrability such as the Lax pair and classical .-matrix.

Oafishness 发表于 2025-3-25 14:50:23

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adulterant 发表于 2025-3-25 18:21:51

Quantum-Mechanical Integrable Systems,the discrete spectrum, we present the common eigenfunctions of commuting quantum integrals in terms of special families of orthogonal polynomials, thereby showing that for these quantum-mechanical models the spectral problem is fully solved.

优雅 发表于 2025-3-25 21:50:03

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意见一致 发表于 2025-3-26 02:24:59

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巨大没有 发表于 2025-3-26 05:04:22

Elements of Classical and Quantum Integrable Systems

Misnomer 发表于 2025-3-26 09:03:43

Textbook 2019rete examples of the Calogero-Moser-Sutherland andRuijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensional Bose gas interacting via a delta-function potential. This book has intermediate and advanced topics with details to make them clearly comprehensible..

Cougar 发表于 2025-3-26 16:17:40

Liouville Integrability,eans of a well-established mathematical procedure. As such, this theorem naturally provides a definition of an integrable system. After a brief reminder on classical mechanics, we present a modern formulation of the Liouville theorem due to Arnold, discuss the symmetry origin of conservation laws an

恶名声 发表于 2025-3-26 17:56:30

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查看完整版本: Titlebook: Elements of Classical and Quantum Integrable Systems; Gleb Arutyunov Textbook 2019 Springer Nature Switzerland AG 2019 Liouville theory.We