Symmetry and Conservation in Spacetime

Laura Becker

Advisor: Dr. Barbara Andereck
Ohio Wesleyan University
Spring 2005

Getting Around the Site
Group Theory Stuff:    What is a group?
                                Symmetry Transformations of an Equilateral Triangle
                                Isomorphisms
                                Example of an Isomorphism
                                Homomorphisms
                                Example of a Homomorphism
Symmetry to Conservation:   Noether’s Theorem
                                          Noether’s Theorem in Spacetime
                                          Principle of Least Action
                                        Symmetry Transformations
                                        Example: Translation in Space
                                        Example: Conservation of Momentum
                                        Noether’s Theorem in Special Relativity
                                        Noether’s Theorem in General Relativity
Generators:   Generators of Transformations
                    Transformations and their Generators
Special Types of Transformations:    Lorentz Boost
                                                    Galilei Boost
Summary
Acknowledgements

You can view the full research paper on which site is based by clicking here.

Back to Top