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 …

Chaos in Bohmian quantum mechanics: A short review

G Contopoulos, AC Tzemos - Regular and Chaotic Dynamics, 2020 - Springer
This is a short review of the theory of chaos in Bohmian quantum mechanics based on our
series of works in this field. Our first result is the development of a generic theoretical …

Unstable points, ergodicity and Born's rule in 2D Bohmian systems

AC Tzemos, G Contopoulos - Entropy, 2023 - mdpi.com
We study the role of unstable points in the Bohmian flow of a 2d system composed of two
non-interacting harmonic oscillators. In particular, we study the unstable points in the inertial …

Bohmian quantum potential and chaos

AC Tzemos, G Contopoulos - Chaos, Solitons & Fractals, 2022 - Elsevier
We study the quantum potential Q in a system of 2 degrees of freedom with emphasis on the
regions where chaos is generated. Q goes to−∞ at the nodal points, where the wave …

The role of chaotic and ordered trajectories in establishing Born's rule

AC Tzemos, G Contopoulos - Physica Scripta, 2021 - iopscience.iop.org
We study in detail the trajectories, ordered and chaotic, of two entangled Bohmian qubits
when their initial preparation satisfies (or not) Born's rule for various amounts of quantum …

[書籍][B] Quantum potential: physics, geometry and algebra

I Licata, D Fiscaletti - 2014 - Springer
The activity on Quantum Mechanics ''interpretations''is still a flourishing industry cranking out
new products every change of season. Like any production activity, it shows many self …

Ergodicity and Born's rule in an entangled two-qubit Bohmian system

AC Tzemos, G Contopoulos - Physical Review E, 2020 - APS
We study the Bohmian trajectories of a generic entangled two-qubit system, composed of
coherent states of two harmonic oscillators with noncommensurable frequencies and focus …

Ergodicity and Born's rule in an entangled three-qubit Bohmian system

AC Tzemos, G Contopoulos - Physical Review E, 2021 - APS
We study in detail the interplay between chaos and entanglement in the Bohmian
trajectories of three entangled qubits, made of coherent states of the quantum harmonic …

A comparison between classical and Bohmian quantum chaos

AC Tzemos, G Contopoulos - Chaos, Solitons & Fractals, 2024 - Elsevier
We study the emergence of chaos in a 2d system corresponding to a classical Hamiltonian
system V= 1 2 (ω x 2 x 2+ ω y 2 y 2)+ ϵ xy 2 consisting of two interacting harmonic oscillators …

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 …