Abstract
The realization of symmetries in physical systems has proven to be of help in the description of physical phenomena: it makes it possible to relate the behaviour of similar systems and therefore it leads to a great simplification of the mathematical description of Nature.
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To simplify the discussion, here we do not consider the more general case in which the dynamics transform covariantly under g (like e.g. in the case of Lorentz transformations). For a general discussion of symmetries and of their relevance in physics, see R.M.F. Houtappel, H. Van Dam and E.P. Wigner, Rev. Mod. Phys. 37, 595 (1965).
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© 2008 Springer-Verlag Berlin Heidelberg
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Strocchi, F. (2008). Symmetries of a Classical System. In: Symmetry Breaking. Lecture Notes in Physics, vol 732. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73593-9_1
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DOI: https://doi.org/10.1007/978-3-540-73593-9_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73592-2
Online ISBN: 978-3-540-73593-9
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