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Titlebook: Classical Mechanics; Hamiltonian and Lagr Alexei Deriglazov Book 2017Latest edition Springer International Publishing Switzerland 2017 Cano

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發(fā)表于 2025-3-21 19:20:42 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Classical Mechanics
副標(biāo)題Hamiltonian and Lagr
編輯Alexei Deriglazov
視頻videohttp://file.papertrans.cn/228/227100/227100.mp4
概述New edition with numerous problems with solutions, additional sections deepening the topics Euler-Lagrange, Cartan two-form in Lagrangian theory, Newtonian equations of motion in context of general re
圖書(shū)封面Titlebook: Classical Mechanics; Hamiltonian and Lagr Alexei Deriglazov Book 2017Latest edition Springer International Publishing Switzerland 2017 Cano
描述.The revised edition of this advanced textbook provides the reader with a solid grounding in the formalism of classical mechanics, underlying a number of powerful mathematical methods that are widely used in modern theoretical and mathematical physics. It reviews the fundamentals of Lagrangian and Hamiltonian mechanics, and goes on to cover related topics such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyond the traditional level adopted in the standard textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material..New material for the revised edition includes additional sections on the Euler-Lagrange equation, the Cartan two-form in Lagrangian theory, and Newtonian equations of motion in context of general relativity. Also new for this edition isthe inclusion of problem sets and solutions to aid in the understanding of the material presented..The mathematical constructions involved are explicitly described and explained, so the book is a good starting point for the student ne
出版日期Book 2017Latest edition
關(guān)鍵詞Canonical Transformation Mechanics; Textbook Classical Mechanics; Hamiltonian Formalism Mechanics; Hami
版次2
doihttps://doi.org/10.1007/978-3-319-44147-4
isbn_softcover978-3-319-82995-1
isbn_ebook978-3-319-44147-4
copyrightSpringer International Publishing Switzerland 2017
The information of publication is updating

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發(fā)表于 2025-3-21 21:35:29 | 只看該作者
Properties of Canonical Transformations,As we have seen in Sect. ., the canonical form of Hamiltonian equations is not preserved by general phase-space transformations. Those that leave the form of the equations unaltered were called canonical transformations. In this chapter, we discuss their properties for the case of phase space of an arbitrary dimension.
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https://doi.org/10.1007/978-3-642-68964-2nd a theory of integral invariants [1, 12, 14]. We prefer to deduce all the properties of canonical transformations by direct analysis of the canonicity conditions given by Eqs. (.) and (.). For convenience, we have made the subject matter of the next chapter independent from this one, so the reader
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Legal Historians and Social Change,ltonian equations. We discuss the basic Poincaré-Cartan and Poincaré integral invariants that represent line integrals of a special vector field defined on extended phase space. The integrals retain the same value for any closed contour taken on a given two-dimensional surface formed by solutions to
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發(fā)表于 2025-3-23 03:47:07 | 只看該作者
Andrew S. Crines,David P. Dolowitzend of first chapter: Lagrangian multipliers for holonomic constraints, forceless Hertz mechanics, electrodynamics and the relativistic particle. Their auxiliary character is supplied either by local symmetries presented in the Lagrangian action, or by the algebraic character of equations of motion
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發(fā)表于 2025-3-23 05:46:03 | 只看該作者
Landor, Clough, and European Republicanism,y, represents a problem with a long and fascinating history. Closely related problem consists in establishing of classical equations that could mimic quantum mechanics of an elementary particle with spin in a semiclassical approximation. The relationship among classical and quantum descriptions has
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