| 书目名称 | Foundations of Theoretical Mechanics II | | 副标题 | Birkhoffian Generali | | 编辑 | Ruggero Maria Santilli | | 视频video | | | 丛书名称 | Theoretical and Mathematical Physics | | 图书封面 |  | | 描述 | In the preceding volume,l I identified necessary and sufficient conditions for the existence of a representation of given Newtonian systems via a variational principle, the so-called conditions of variational self-adjointness. A primary objective of this volume is to establish that all Newtonian systems satisfying certain locality, regularity, and smoothness conditions, whether conservative or nonconservative, can be treated via conventional variational principles, Lie algebra techniques, and symplectic geometrical formulations. This volume therefore resolves a controversy on the repre sentational capabilities of conventional variational principles that has been 2 lingering in the literature for over a century, as reported in Chart 1. 3. 1. The primary results of this volume are the following. In Chapter 4,3 I prove a Theorem of Direct Universality of the Inverse Problem. It establishes the existence, via a variational principle, of a representation for all Newtonian systems of the class admitted (universality) in the coordinates and time variables of the experimenter (direct universality). The underlying analytic equations turn out to be a generalization of conventional Hamilton | | 出版日期 | Textbook Aug 2013Latest edition | | 关键词 | Hamiltonian; Inverses Problem; Mechanik; Newtonian mechanics; Potential; algebra; conservation law; differe | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-86760-6 | | issn_series | 1864-5879 | | copyright | Springer Science+Business Media New York 1983 |
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发表于 2025-3-21 18:38:01
