Topological defects as non-homogeneous condensates: Part I

The following sections are included:

• Introduction

• Quantum field dynamics and classical soliton solutions

  • The dynamical map and the boson transformation

  • The quantum coordinate

• The λϕ⁴ kink solution

  • The kink solution and temperature effects

  • The kink solution: closed time-path approach

• The sine-Gordon solution

  • The quantum image of the Bäcklund transformations

• Soliton solutions of the non-linear Schrödinger equation

  • The ferromagnetic chain

  • Non-linear Schrödinger equation with Toda lattice back-reaction potential

  • Ring solitons in the Scheibe aggregates

• Fermions in topologically non-trivial background fields

• Superfluid vortices