Symmetry in quantum mechanical systems

Many quantum mechanical systems are highly symmetrical and this allows their solution in terms of representation theory. In this project you will solve some quantum mechanical systems from this point of view. Such systems include the harmonic oscillator, the hydrogen atom and the bosonic string.

The necessary background in Lie algebras, representation theory and string theory will be covered during the project.

There is scope in this project for some computer work; although this is not necessary.

References

1. Groups theory and Physics
   Shlomo Sternberg
2. Lie groups, Lie algebras, and some of their applications
   Robert Gilmore
3. A first course in string theory
   Barton Zwiebach