ABSTRACT
Bohmian mechanics [1, 2] is a mechanical theory about the motion of particles. In contrast to quantum mechanics, Bohmian mechanics is a complete physical theory which leaves no interpretational freedom; in particular, it is free of paradoxes like Schrödinger’s cat. This completeness is achieved by introducing a definite configuration of particles for all times which is governed by the Bohmian velocity law. The predictions of Bohmian mechanics agree with those of quantum mechanics whenever the latter are unambiguous. Besides that, it turns out that in some situations the Bohmian velocity law is a convenient tool for the numerical integration of the Schrödinger equation. There is a lot of literature which explains the physical side of Bohmian mechanics, see e.g. Ref. [2]. The role of this chapter is to explain the advantages in using Bohmian mechanics for numerics.
