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Invariance and Conservation Principles

  • Sylvie Braibant
  • Giorgio Giacomelli
  • Maurizio Spurio
Chapter
Part of the Undergraduate Lecture Notes in Physics book series (ULNP)

Abstract

Two important aspects in physics are the invariance (or symmetry) of the equations describing the behavior of a system under a given transformation (for example, a translation of the system frame) and the conservation of some physical quantities (e.g., the momentum). The invariance properties are abstract features of the mathematical formalism. These invariance properties are intimately connected to conservation laws. For example, the conservation of angular momentum is related to the invariance under spatial rotations; the conservation of the linear momentum is related to the homogeneity of space. Noether’s theorem formally expresses the fact that a physical conserved quantity corresponds to each invariant, and vice versa.

Keywords

Wave Function Parity Operator Gauge Invariance Orbital Angular Momentum Charge Conjugation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Sylvie Braibant
    • 1
  • Giorgio Giacomelli
    • 1
  • Maurizio Spurio
    • 1
  1. 1.Department of Physics and INFNUniversity of BolognaBolognaItaly

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