Applied bohmian mechanics

A Benseny, G Albareda, ÁS Sanz, J Mompart… - The European Physical …, 2014 - Springer
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 …

Atom–surface diffraction: a trajectory description

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 …

Towards a mathematical theory of the Madelung equations: Takabayasi's quantization condition, quantum quasi-irrotationality, weak formulations, and the Wallstrom …

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 …

[图书][B] Quantum trajectories

PK Chattaraj - 2016 - books.google.com
The quantum trajectory method provides an efficient computational technique for solving
both stationary and time-evolving states, encompassing a large area of quantum mechanics …

Origin of chaos near critical points of quantum flow

C Efthymiopoulos, C Kalapotharakos… - Physical Review E …, 2009 - APS
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 …

Quantum phase analysis with quantum trajectories: A step towards the creation of a Bohmian thinking

AS Sanz, S Miret-Artés - American Journal of Physics, 2012 - pubs.aip.org
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 …

Bohmian chaos in multinodal bound states

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 …

Chaos in de Broglie-Bohm quantum mechanics and the dynamics of quantum relaxation

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 …

Complete Hamiltonian description of wave-like features in classical and quantum physics

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 …

Order in de Broglie–Bohm quantum mechanics

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 …