Noether’s Theorem

  • Nicholas M. J. WoodhouseEmail author
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


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.


Angular Momentum Inertial Frame Linear Momentum Dynamical Symmetry Conjugate Momentum 
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Copyright information

© Springer-Verlag London 2009

Authors and Affiliations

  1. 1.Mathematical Institute University of OxfordOxfordUnited Kingdom

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