Obtaining the non-relativistic quantum mechanics from quantum field theory: issues, folklores and facts

@article{Padmanabhan2017ObtainingTN,
  title={Obtaining the non-relativistic quantum mechanics from quantum field theory: issues, folklores and facts},
  author={T. Padmanabhan},
  journal={The European Physical Journal C},
  year={2017},
  volume={78},
  pages={1-35}
}
Given the classical dynamics of a non-relativistic particle in terms of a Hamiltonian or an action, it is relatively straightforward to obtain the non-relativistic quantum mechanics (NRQM) of the system. These standard procedures, based on either the Hamiltonian or the path integral, however, do not work in the case of a relativistic particle. As a result we do not have a single-particle description of relativistic quantum mechanics (RQM). Instead, the correct approach requires a transmutation… Expand