  In this thesis we study the de Broglie-Bohm pilot-wave interpretation of
quantum theory. We consider the domain of non-relativistic quantum theory,
relativistic quantum theory and quantum field theory, and in each domain we
consider the possibility of formulating a pilot-wave interpretation. For
non-relativistic quantum theory a pilot-wave interpretation in terms of
particle beables can readily be formulated. But this interpretation can in
general not straightforwardly be generalized to relativistic wave equations.
The problems which prevent us from devising a pilot-wave interpretation for
relativistic wave equations also plague the standard quantum mechanical
interpretation, where these problems led to the conception of quantum field
theory. Therefore most of our attention is focussed on the construction of a
pilot-wave interpretation for quantum field theory. We thereby favour the field
beable approach, developed amongst others by Bohm, Hiley, Holland, Kaloyerou
and Valentini. Although the field beable approach can be successfully applied
to bosonic quantum field theory, it seems not straightforward to do so for
fermionic quantum field theory.

Quantum Physics