The walking droplet system discovered by Yves Couder and Emmanuel Fort presents an
example of a vibrating particle self-propelling through a resonant interaction with its own …

Even though the Madelung equations are central to many'classical'approaches to the
foundations of quantum mechanics such as Bohmian and stochastic mechanics, no …

Abstract In 1952 David Bohm proposed an interpretation of quantum mechanics, in which
the evolution of states results from trajectories governed by classical equations of motion but …

Bohmian mechanics of the three-slit experiment in the linear potential | The European Physical
Journal Special Topics Skip to main content SpringerLink Account Menu Find a journal …

The de Broglie–Bohm theory is one of the nonstandard interpretations of quantum
phenomena that focuses on reintroducing definite positions of particles, in contrast to the …

The Gaussian solitary wave solutions are obtained for a class of logarithmic nonlinear
Schrödinger equation (NLSE) with a standard harmonic oscillator potential. We find that the …

In this work, we derive Born's rule from the pilot-wave theory of de Broglie and Bohm. Based
on a toy model involving a particle coupled to an environment made of “qubits”(ie, Bohmian …

We consider the Cauchy problem for nonlinear Schrödinger equations in a general domain
Ω⊂ R N. Construction of solutions has been only done by classical compactness method in …

In the present paper we study the classical and the quantum H\'enon-Heiles systems. In
particular we make a comparison between the classical and the quantum trajectories of the …

Recently, the properties of bouncing oil droplets, also known as “walkers,” have attracted
much attention because they are thought to offer a gateway to a better understanding of …