R Guantes, AS Sanz, J Margalef-Roig… - Surface science …, 2004 - Elsevier
Elastic atom–surface scattering is a complex, non-linear dynamical process. In this work, a description of the underlying dynamics in terms of classical and quantum trajectories is …
M Reddiger, B Poirier - Journal of Physics A: Mathematical and …, 2023 - iopscience.iop.org
Even though the Madelung equations are central to many'classical'approaches to the foundations of quantum mechanics such as Bohmian and stochastic mechanics, no …
The quantum trajectory method provides an efficient computational technique for solving both stationary and time-evolving states, encompassing a large area of quantum mechanics …
The general theory of motion in the vicinity of a moving quantum nodal point (vortex) is studied in the framework of the de Broglie–Bohm trajectory method of quantum mechanics …
We introduce a pedagogical discussion on Bohmian mechanics and its physical implications in connection with the important role played by the quantum phase in the dynamics of …
AC Tzemos, G Contopoulos - Foundations of Physics, 2022 - Springer
We consider the Bohmian trajectories in a 2-d quantum harmonic oscillator with non commensurable frequencies whose wavefunction is of the form Ψ= a Ψ m 1, n 1 (x, y)+ b Ψ …
C Efthymiopoulos, G Contopoulos… - arXiv preprint arXiv …, 2017 - arxiv.org
We discuss the main mechanisms generating chaotic behavior of the quantum trajectories in the de Broglie-Bohm picture of quantum mechanics, in systems of two and three degrees of …
A Orefice, R Giovanelli, D Ditto - Foundations of Physics, 2009 - Springer
The analysis of the Helmholtz equation is shown to lead to an exact Hamiltonian system describing in terms of ray trajectories, for a stationary refractive medium, a very wide family …
G Contopoulos, N Delis… - Journal of Physics A …, 2012 - iopscience.iop.org
A usual assumption in the so-called de Broglie–Bohm approach to quantum dynamics is that the quantum trajectories subject to typical'guiding'wavefunctions turn to be quite irregular, ie …