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

Physics Letters A

Solution of the time-dependent Schrödinger equation with a trajectory method and application to H+-H scattering

Georg Terlecki, NORBERT GRÜN, W. Scheid

Published Feb 1, 1982• 28 citations
Publisher
DOI
10.1016/0375-9601(82)90417-0

Related papers

Solution of the Time-dependent Schrodinger Equation via Complex Quantum Trajectories

Yair Goldfarb

•Jan 1, 2008•2 citations

Solution of the time dependent Schroedinger equation at a given potential

Ts. Istatkov, Kh.Ya. Khristov

•Jan 1, 1972•0 citations

Trajectory method for the solution of the time-dependent Schrodinger equation in atomic physics and application to H+-H scattering

Georg Terlecki, NORBERT GRÜN, W. Scheid

A trajectory method has been developed for the solution of the one-electron Schrodinger equation in atomic scattering problems. The method is based on the fluid dynamical interpretation of the quantum mechanical probability density and current. The time evolution is described by trajectories of particles, which represent the probability distribution. The trajectories are calculated by solving classical equations of motion with forces depending on the probability density. Results are obtained for the differential and total ionisation and charge exchange cross sections for the scattering of H + on H.

Journal of Physics B Atomic and Molecular Physics•Sep 28, 1984•20 citations

Simulation Study of Electron Scattering in Crystalline Solid by Using Bohmian Quantum Trajectory Method

Rongguang Zeng, Zejun Ding

Based on Bohmian quantum trajectory theory, an investigation of electron scattering in a thin crystal has been performed. A time-independent interaction potential was employed to describe electron scattering from model crystal. Quantum trajectories were calculated by a numerical solution of the time-dependent Schrödinger equation. The probability density functions and quantum trajectories representing the electron diffraction in real space were obtained from the calculation. The quantum trajectories provide an intuitive dynamics of the interaction process during the electron diffraction.

Journal of Surface Analysis•Jan 1, 2011•6 citations

On the time-dependent solutions of the Schrödinger equation

Alejandro Palma, I. Pedraza

Progress in theoretical chemistry and physics•Jan 1, 2007•3 citations

Solution to the Schrödinger Equation for the Time-Dependent Potential

Chao‐Yun Long, Shuijie Qin, Zhu-Hua Yang +1 more

International Journal of Theoretical Physics•Oct 14, 2008•8 citations
A trajectory method has been developed for the solution of the one-electron Schrodinger equation in atomic scattering problems. The method is based on the fluid dynamical interpretation of the quantum mechanical probability density and current. The time evolution is described by trajectories of particles, which represent the probability distribution. The trajectories are calculated by solving classical equations of motion with forces depending on the probability density. Results are obtained for the differential and total ionisation and charge exchange cross sections for the scattering of H + on H.
Based on Bohmian quantum trajectory theory, an investigation of electron scattering in a thin crystal has been performed. A time-independent interaction potential was employed to describe electron scattering from model crystal. Quantum trajectories were calculated by a numerical solution of the time-dependent Schrödinger equation. The probability density functions and quantum trajectories representing the electron diffraction in real space were obtained from the calculation. The quantum trajectories provide an intuitive dynamics of the interaction process during the electron diffraction.