分析力学讲座

English | 2024 | ISBN: 0198894678 | 241 pages | True PDF | 7.89 MB

Written by professional physicists with over 140 years' of teaching experience combined, this book is aimed at students and lecturers in physics. The authors present analytical mechanics as the basis for the study of theoretical physics, its methods and ideas forming the foundation of all other branches including quantum mechanics, statistical physics, and field theory. The book begins by discussing the motion of particles in a central field and scattering of particles based on Newton's equations. It then introduces and explores Lagrange equations for various systems, linear and non-linear oscillations, Hamiltonian formalism, and the motion of a rigid body. Each topic is accompanied by problems that are suitable for seminars and testing. The book also includes five supplemental sections, which provide practical illustrations of the theoretical material. These sections can be used by teachers as the basis for conducting a specialized course, or by curious students who wish to explore different applications of analytical mechanics independently.

English | 2024 | ISBN:0198894678 | 241页| True PDF | 7.89 MB本书由拥有140多年教学经验的专业物理学家撰写，面向物理学专业的学生和讲师。作者将分析力学作为理论物理学研究的基础，其方法和思想构成了包括量子力学、统计物理学和场论在内的所有其他分支的基础。本书首先讨论了粒子在中心场中的运动以及基于牛顿方程的粒子散射。然后，它介绍并探讨了各种系统的拉格朗日方程、线性和非线性振荡、哈密顿形式以及刚体的运动。每个主题都伴随着适合研讨会和测试的问题。这本书还包括五个补充部分，为理论材料提供了实用的插图。这些部分可供教师用作开设专业课程的基础，也可供希望独立探索分析力学不同应用的好奇学生使用。

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