Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/9608038 · Physics Letters A

From quantum trajectories to classical orbits

T.A. Brun, N. Gisin, Patrick F. O’Mahony, M. Rigo

Published May 1, 1997• 30 citations
arXivHTMLPDF
DOI
10.1016/s0375-9601(97)00217-x

Related papers

From quantum trajectories to classical orbits

Brun, T A, Gisin, Nicolas, Patrick F. O’Mahony +1 more

Recently it has been shown that the evolution of open quantum systems may be ``unraveled'' into individual ``trajectories,'' providing powerful numerical and conceptual tools. In this letter we use quantum trajectories to study mesoscopic systems and their classical limit. We show that in this limit, Quantum Jump (QJ) trajectories approach a diffusive limit very similar to the Quantum State Diffusion (QSD) unraveling. The latter follows classical trajectories in the classical limit. Hence, both unravelings show the rise of classical orbits. This is true for both regular and chaotic systems (which exhibit strange attractors).

•Aug 26, 1996•19 citations

OPEN QUANTUM SYSTEMS AND CLASSICAL TRAJECTORIES

Rolando Rebolledo

•Sep 1, 2004•3 citations

The Dynamics and Properties of Quantum Trajectories

Springer eBooks•May 27, 2006•1 citation

Quantum trajectory in a time-dependent potential : oscillator in a monochromatic field

Yoshio Nishiyama

The 'quantum trajectory' obeying the Schrodinger equation with a time dependent potential is theoretically determined. As an illustration of the theory the trajectory of a charged harmonic oscillator in an electromagnetic field obeying the wave equation is shown along with the orbital motion of the corresponding classical particle.

•Feb 1, 2002•0 citations

Classical Trajectories from Coherent Quantum Oscillations

Alan M. Kadin

Bulletin of the American Physical Society•Mar 19, 2013•0 citations

3D Quantum Trajectories. Quantum orbits of the Hydrogen's electron

T. Djama

In this paper, we introduced the 3D-Quantum Stationary Hamilton Jacobi Equation for a central potential, and established the 3D quantum law of motion of an electron in the presence of such a potential. We established a system of three differential equations from which, and as a numerical application, we plotted the 3D quantum trajectories of the Hydrogen's electron for the ground state and two excited states. we did a comparison between a supposed classical trajectory of the hydrogen electron and the corresponding QTs. We found out that for a particular set of the hidden variables, the QT is close in its shape to the classical one.

arXiv:quant-ph/0404175•Apr 30, 2004•0 citations
Recently it has been shown that the evolution of open quantum systems may be ``unraveled'' into individual ``trajectories,'' providing powerful numerical and conceptual tools. In this letter we use quantum trajectories to study mesoscopic systems and their classical limit. We show that in this limit, Quantum Jump (QJ) trajectories approach a diffusive limit very similar to the Quantum State Diffusion (QSD) unraveling. The latter follows classical trajectories in the classical limit. Hence, both unravelings show the rise of classical orbits. This is true for both regular and chaotic systems (which exhibit strange attractors).
In this paper, we introduced the 3D-Quantum Stationary Hamilton Jacobi Equation for a central potential, and established the 3D quantum law of motion of an electron in the presence of such a potential. We established a system of three differential equations from which, and as a numerical application, we plotted the 3D quantum trajectories of the Hydrogen's electron for the ground state and two excited states. we did a comparison between a supposed classical trajectory of the hydrogen electron and the corresponding QTs. We found out that for a particular set of the hidden variables, the QT is close in its shape to the classical one.