Indigent 发表于 2025-3-21 18:44:24

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chemoprevention 发表于 2025-3-21 22:01:02

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过于平凡 发表于 2025-3-22 01:58:29

https://doi.org/10.1007/978-3-662-02480-5eans 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

DEFT 发表于 2025-3-22 05:46:52

Major Companies of Saudi Arabia,try transformations. Choosing an invariant hamiltonian and removing in a special way the degrees of freedom related to these symmetries, one obtains a new dynamical system on a smaller phase space which turns out to be integrable. The cotangent bundle of a Lie group and the Heisenberg double are rep

Integrate 发表于 2025-3-22 09:07:00

https://doi.org/10.1057/9781403937339ing about some important tools and concepts like the deformation quantisation and the quantum Yang-Baxter equation, we show how to obtain the main algebraic structures related to the quantum RS models by using the reduction framework developed in the previous chapter. For the CMS and RS models with

CONE 发表于 2025-3-22 14:47:02

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CONE 发表于 2025-3-22 17:36:55

Kathryn Ray,Maria Hudson,Joan Phillipsof the asymptotic wave function and factorisation of the multi-body scattering matrix. Our considerations were done for one-dimensional quantum-mechanical systems defined on an infinite line. To study thermodynamics, one needs, however, to confine the system in a finite volume.

凶猛 发表于 2025-3-22 22:30:22

proximately. For models with no bound states, by applying the thermodynamic limit to the corresponding Bethe equations, we obtain equations for the ground state. We then consider the case of finite temperature and derive the Yang-Yang equation describing the state of thermodynamic equilibrium. Furth

AWE 发表于 2025-3-23 02:24:58

https://doi.org/10.1007/978-3-030-24198-8Liouville theory; Weyl symmetry; Moving coordinate systems; n-body problem; Bethe Ansatz; Kolmogorov–Arno

Petechiae 发表于 2025-3-23 06:48:21

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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