Bohmian mechanics provides an explanation of quantum phenomena in terms of point-like
particles guided by wave functions. This review focuses on the use of nonrelativistic …

The molecular Schrödinger equation is rewritten in terms of nonunitary equations of motion
for the nuclei (or electrons) that depend parametrically on the configuration of an ensemble …

Weak values allow the measurement of observables associated with noncommuting
operators. Up to now, position-momentum weak values have been mainly developed for …

Electricity plays a special role in our lives and life. The dynamics of electrons allow light to
flow through a vacuum. The equations of electron dynamics are nearly exact and apply from …

Ions in channels have been imagined as hard balls in a macroscopic mechanical model, for
a very long time. Hard balls interact by collisions in such models, randomly knocking each …

We report a new theoretical approach to solve adiabatic quantum molecular dynamics
halfway between wave function and trajectory-based methods. The evolution of a N-body …

It is shown that Bohmian mechanics applied to describe electron transport in open systems
(in terms of waves and particles) leads to a quantum-trajectory Monte Carlo algorithm where …

A dielectric dilemma faces scientists because Maxwell's equations are poor approximations
as usually written, with a single dielectric constant. Maxwell's equations are then not …

A prominent tool to study the dynamics of open quantum systems is the reduced density
matrix. Yet, approaching open quantum systems by means of state vectors has well known …

The aim of this chapter is to discuss to what extent one of the formulations (interpretations) of
the quantum theory, ie Bohmian mechanics, which provides a singular tool to predict and …