拉格朗日及漢密爾敦力學LAGRANGIAN AND HAMILTONIAN MECHANICS 在線電子書 圖書標籤: 數學 分析力學
發表於2024-11-26
拉格朗日及漢密爾敦力學LAGRANGIAN AND HAMILTONIAN MECHANICS 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
This book takes the student from the Newtonian mechanics typically taught in the first and the second year to the areas of recent research. The discussions of topics such as invariance, Hamiltonian-Jacobi theory, and action-angle variables is especially complete; the last includes a discussion of the Hannay angle, not found in other texts. The final chapter is an introduction to the dynamics of nonlinear nondissipative systems. Connections with other areas of physics which the student is likely to be studying at the same time, such as electromagnetism and quantum mechanics, are made where possible. There is thus a discussion of electromagnetic field momentum and mechanical hidden momentum in the quasi-static interaction of an electric charge and a magnet. This discussion, among other things explains the "(e/c)A" term in the canonical momentum of a charged particle in an electromagnetic field. There is also a brief introduction to path integrals and their connection with Hamilton's principle, and the relation between the Hamilton-Jacobi equation of mechanics, the eikonal equation of optics, and the Schrodinger equation of quantum mechanics.
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拉格朗日及漢密爾敦力學LAGRANGIAN AND HAMILTONIAN MECHANICS 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024