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Titlebook: Lagrangian and Hamiltonian Analytical Mechanics: Forty Exercises Resolved and Explained; Vladimir Pletser Book 2018 The Editor(s) (if appl

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书目名称Lagrangian and Hamiltonian Analytical Mechanics: Forty Exercises Resolved and Explained
编辑Vladimir Pletser
视频video
概述Explains how to analytically solve classical problems and exercises.Covers classical, celestial and quantum mechanics.Provides theoretical reviews before the problems and exercises.Presents a solution
丛书名称UNITEXT for Physics
图书封面Titlebook: Lagrangian and Hamiltonian Analytical Mechanics: Forty Exercises Resolved and Explained;  Vladimir Pletser Book 2018 The Editor(s) (if appl
描述This textbook introduces readers to the detailed and methodical resolution of classical and more recent problems in analytical mechanics. This valuable learning tool includes worked examples and 40 exercises with step-by-step solutions, carefully chosen for their importance in classical, celestial and quantum mechanics. .The collection comprises six chapters, offering essential exercises on: (1) Lagrange Equations; (2) Hamilton Equations; (3) the First Integral and Variational Principle; (4) Canonical Transformations; (5) Hamilton – Jacobi Equations; and (6) Phase Integral and Angular Frequencies.Each chapter begins with a brief theoretical review before presenting the clearly solved exercises. The last two chapters are of particular interest, because of the importance and flexibility of the Hamilton-Jacobi method in solving many mechanical problems in classical mechanics, as well as quantum and celestial mechanics..Above all, the book provides students and teachers alike with detailed, point-by-point and step-by-step solutions of exercises in Lagrangian and Hamiltonian mechanics, which are central to most problems in classical physics, astronomy, celestial mechanics and quantum ph
出版日期Book 2018
关键词Hamilton-Jacobi equations; Harmonic Oscillator; Variational Principle; Fermat Principle; Canonical Trans
版次1
doihttps://doi.org/10.1007/978-981-13-3026-1
isbn_ebook978-981-13-3026-1Series ISSN 2198-7882 Series E-ISSN 2198-7890
issn_series 2198-7882
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
The information of publication is updating

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First Integral and Variational Principle,The Theorem of Poisson, Euler equation, and the variational principle are then addressed. An application in optics, namely the Fermat principle, is reviewed. Five exercises are then solved, namely on the Watt Regulator, on the first integral of a free material point, on the brachistochrone problem,
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Phase Integral and Action-Angle Variables,e first recalled. Seven exercises are then solved, on a fourth harmonic oscillator, on pendulum small oscillations, on a three-dimensional harmonic oscillator, on energy in a Bohr atom, on Kepler’s classical problem, on Kepler’s relativistic problem, and finally on the advance of Mercury perihelion,
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r life. It is important for individuals with SCI and clinicians to understand how the body ages with a SCI, particularly because they may not manifest typical signs and symptoms of the various health conditions for which they are at risk. A complimentary approach of patient self-management and clini
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Vladimir Pletserso play an important part in the decision to remain in the workforce. Older people feel that employment allows them continued personal growth, as well as the opportunity to pass on knowledge and values in the workforce. Employers benefit from retaining older employees who know their work and workpla
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Vladimir Pletser decision-making problems in machine learning. Most of the successful RL applications, e.g., the games of Go and Poker, robotics, and autonomous driving, involve the participation of more than one single agent, which naturally fall into the realm of multi-agent RL (MARL), a domain with a relatively
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