Chaos in Bohmian quantum mechanics: A short review

G Contopoulos, AC Tzemos - Regular and Chaotic Dynamics, 2020 - Springer
… We find that the chaotic trajectories are also ergodic, ie, they … A first example is given by a
system of 2 harmonic oscillators … 15) for some time, in close analogy to the 2d case where we …

Chaotic trajectories in complex Bohmian systems

AC Tzemos, G Contopoulos - arXiv preprint arXiv:2205.11872, 2022 - arxiv.org
… Abstract We consider the Bohmian trajectories in a 2-d quantum harmonic oscillator with non
commensurable frequencies whose wavefunction is of the form Ψ = aΨm1,n1 (x, y)+ bΨm2,…

[HTML][HTML] Order, chaos and born's distribution of bohmian particles

AC Tzemos, G Contopoulos - Particles, 2023 - mdpi.com
… , chaos and ergodicity in the Bohmian trajectories of a 2D quantum harmonic oscillator. We
… cases with a third term both with commensurable and incommensurable frequencies. Then, …

Chaos in Bohmian quantum mechanics

C Efthymiopoulos, G Contopoulos - Journal of Physics A …, 2006 - iopscience.iop.org
… Then, we investigate the Bohmian orbits in three different … of two uncoupled harmonic
oscillators with incommensurable … with commensurable eigenvalues, as for example in 2D

Chaos in bohmian mechanics of commensurate harmonic oscillators

H Umair, Z Hishamuddin - Journal of Physics: Conference Series, 2014 - iopscience.iop.org
chaoticcommensurate two-dimensional harmonic oscillator systems with different ratios
of frequencies. We show that the system may produce chaotic behavior of Bohmian trajectories

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 \(\Psi =a\Psi _{m_1,n_1}(x,y)+b\Psi _…

Nodal points and the transition from ordered to chaotic Bohmian trajectories

C Efthymiopoulos, C Kalapotharakos… - Journal of Physics A …, 2007 - iopscience.iop.org
… to chaos for the Bohmian trajectories of a simple quantum system corresponding to the
superposition of three stationary states in a 2D harmonic … of two independent harmonic oscillators. …

Classical and Bohmian trajectories in integrable and non integrable systems

G Contopoulos, AC Tzemos - arXiv preprint arXiv:2411.12472, 2024 - arxiv.org
Bohmian trajectories and we find that they are chaotic in both … non interacting quantum
harmonic oscillators in 2 dimensions … Bohmian chaos one needs, in general, non commensurable

[PDF][PDF] Chaotic Dynamics in the Causal Interpretation of Quantum Mechanics

K von Bloh - researchgate.net
harmonic oscillator as central models for exploring chaotic behavior at the quantum level,
which means exponential divergence of neighbouring trajectories… are commensurable, but the …

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

AC Tzemos, G Contopoulos - Physical Review E, 2020 - APS
… states of two harmonic oscillators with noncommensurable … can be established for the
chaotic Bohmian trajectories, do we … chaotic behavior even in the presence of commensurable