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

Foundations of Physics

Wigner trajectories of a Gaussian wave packet perturbed by a weak potential

Hai-Woong Lee

Published Aug 1, 1992• 11 citations
Publisher
DOI
10.1007/bf00733392

Related papers

Interplay Between a Gaussian Wave Packet and a Non-Reflecting Potential Analyzed Using the Wigner Equation

Joon‐Ho Lee, Mincheol Shin

Journal of Computational and Theoretical Nanoscience•Mar 1, 2017•3 citations

Wigner trajectories in quantum tunneling

Mohsen Razavy

Physics Letters A•Mar 1, 1996•11 citations

Phase-space description of the coherent state dynamics in a small one-dimensional system

Urszula Kaczor, Bogusław Klimas, Dominik Szydłowski +2 more

Abstract The Wigner-Moyal approach is applied to investigate the dynamics of the Gaussian wave packet moving in a double-well potential in the ‘Mexican hat’ form. Quantum trajectories in the phase space are computed for different kinetic energies of the initial wave packet in the Wigner form. The results are compared with the classical trajectories. Some additional information on the dynamics of the wave packet in the phase space is extracted from the analysis of the cross-correlation of the Wigner distribution function with itself at different points in time.

Open Physics•Oct 1, 2016•4 citations

Time-Dependent Gaussian Solution for the Kostin Equation around Classical Trajectories

Fernando Haas, José Maria Filardo Bassalo, Antonio Boulhosa Nassar +1 more

The structure of time-dependent Gaussian solutions for the Kostin equation in dissipative quantum mechanics is analyzed. Expanding the generic external potential near the center of mass of the wave packet, one conclude that: the center of mass follows the dynamics of a classical particle under the external potential and a damping proportional to the velocity; the width of the wave packet satisfy a non-conservative Pinney equation. An appropriate perturbation theory is developed for the free particle case, solving the long standing problem of finding analytic expressions for square integrable solutions of the free Kostin equation. The associated Wigner function is also studied.

•Aug 14, 2016•6 citations

Quantum wave packet dynamics with trajectories: reflections on a downhill ramp potential

Courtney L. Lopreore, Róbert E. Wyatt

Chemical Physics Letters•Jul 1, 2000•44 citations

TUNNELING TIMES OF WAVE PACKETS: AN APPLICATION OF THE METHOD OF QUANTUM TRAJECTORIES IN THE WIGNER REPRESENTATION

Alexey V. Filinov, Yu. E. Lozovik

International Conference on Progress in Nonequilibrium Green's Functions (PNGF)•May 1, 2000•0 citations
Abstract The Wigner-Moyal approach is applied to investigate the dynamics of the Gaussian wave packet moving in a double-well potential in the ‘Mexican hat’ form. Quantum trajectories in the phase space are computed for different kinetic energies of the initial wave packet in the Wigner form. The results are compared with the classical trajectories. Some additional information on the dynamics of the wave packet in the phase space is extracted from the analysis of the cross-correlation of the Wigner distribution function with itself at different points in time.
The structure of time-dependent Gaussian solutions for the Kostin equation in dissipative quantum mechanics is analyzed. Expanding the generic external potential near the center of mass of the wave packet, one conclude that: the center of mass follows the dynamics of a classical particle under the external potential and a damping proportional to the velocity; the width of the wave packet satisfy a non-conservative Pinney equation. An appropriate perturbation theory is developed for the free particle case, solving the long standing problem of finding analytic expressions for square integrable solutions of the free Kostin equation. The associated Wigner function is also studied.