Krakow lectures on scalar quantum solitons

We give a pedagogical introduction to linearized soliton perturbation theory (LSPT), a new and efficient tool for calculations involving quantum solitons. It is a Hamiltonian approach with a focus on explicitly constructing the soliton states. These states are squeezed, coherent states plus perturbative corrections. We will describe multi-loop corrections to states and their masses. An inner product suitable for non-normalizable momentum eigenstates will be introduced and applied to kink-meson scattering. We will also discuss domain wall solitons.