Galilean Transformations of Tenzors Галилеевы преобразования тензоров

Authors: Valery Timin

This paper deals with the orthonormal transformation of the vectors and tensors of the 4-dimensional Galilean space. Such transformations are transformations of rotation and transition to a moving coordinate system. Formulas and matrices of these transformations are given. The transition from one coordinate system to another, moving relative to the first, did long before the theory of relativity. The natural space for "transitions from one coordinate system to another" is the Galilean space. It is the space of classical mechanics. This paper focuses on the 4-dimensional interpretation of such transformations. В данной работе рассмотрены вопросы ортонормированного преобразования векторов и тензоров 4-мерного галилеева пространства. Такими преобразованиями являются преобразования поворота и перехода в движущуюся систему координат. Даны формулы и матрицы этих преобразований. Переход от одной системы координат к другой, движущейся относительно первой, делали задолго до появления теории относительности. Естественным пространством для "переходов от одной системы координат к другой" является галилеево пространство. Именно оно является пространством классической механики. В данной работе сделан упор на 4-мерной интерпретации таких преобразований.

Comments:, 14 pages in Russian

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[v1] 2019-10-29 06:56:33

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