Abstract
A central recurring theme in mathematical physics is the connection between symmetries and conservation laws, in particular the connection between the symmetries of Euclidean space under rotation and translation and the conservation laws for linear and angular momentum. The same connections exist in quantum theory and in relativity, where the symmetry of Minkowski space under translations and Lorentz transformations underlies the relativistic interpretation of energy, momentum, and angular momentum. The connection is particularly transparent in the Lagrangian formalism.
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© 2009 Springer-Verlag London
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Woodhouse, N.M.J. (2009). Noether’s Theorem. In: Introduction to Analytical Dynamics. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-84882-816-2_4
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DOI: https://doi.org/10.1007/978-1-84882-816-2_4
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Publisher Name: Springer, London
Print ISBN: 978-1-84882-815-5
Online ISBN: 978-1-84882-816-2
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