As you probably know, topological solitions are nontrivial solutions of various nonlinear equations, which describe blobs of matter which do not dissipate in time but rather can exist in a stable manner due to the topological charges they posses. While these solutions are classical solutions of the equations of motion, and are characterised by a bunch of parameters (or moduli) which can usually take arbitrary values, they can be also quantised to reveal intriguing quantum properties.
In this project you will be able to study properties of classical solitons which you have not seen in your Solitons III course. You will also be able to understand quantum properties of these solitons by performing semi-classical quantisation of these objects.
For this project you need to have attended Mathematical Physics II and also attend Solitons III and Quantum Mechanics III.
For a first reading look at: