Nearly all methods of constructing closed form solutions rely on symmetries. The emphasis in this text is on how to find and use the symmetries; this is supported by many examples and more than 100 ...
This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetries of physical systems and illustrate through ...
The discovery, centred around controlling tiny hurricanes of light and electromagnetic fields, could revolutionise how much information we can deliver over cables.