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:1610.04496 · Journal of Differential Equations

On coupling kinetic and Schrödinger equations

Avy Soffer, Minh-Binh Tran

Published Apr 22, 2018• 13 citations
arXivHTMLPDF
DOI
10.1016/j.jde.2018.04.031

Related papers

Formulation of Green＇s Function in Solving Schrǒdinger Equation for Bipartite System with Kinetic Coupling Gained by Virtue of Entangled States

FANHong-Yi, LIUQiu-Yu

Using the entangled state representation we present a formulation of Green's function in solving Schrǒdinger equation for bipartite system with kinetic coupling.

理论物理通讯：英文版•Jan 1, 2005•0 citations

Kinetic Equations for Quantum Systems

Alexander I. Akhiezer, S. V. Peletminskiǐ

Elsevier eBooks•Jan 1, 1981•0 citations

Formulation of Green's Function in Solving Schrödinger Equation for Bipartite System with Kinetic Coupling Gained by Virtue of Entangled States

Fan Hong-Yi, Qiuyu Liu

Using the entangled state representation we present a formulation of Green's function in solving Schrödinger equation for bipartite system with kinetic coupling.

Communications in Theoretical Physics•May 1, 2005•0 citations

Integration of the quantum kinetic equation

Е. П. Богданов, V. N. Gorshenkov, V. L. Kon'kov

Russian Physics Journal•Jul 1, 1970•1 citation

Towards the Schrödinger Equation

Jochen Pade

Undergraduate lecture notes in physics•Jan 1, 2018•0 citations

Schrödinger's Equation as a Model Approach to Short Time-Scale Quantum Kinetics in a Semiconductor

J. A. Kenrow, T. Kenneth Gustafson

We present a new approach to quantum kinetics based on a Schr\"odinger's equation formalism. As an example we apply this method to a coupled electron-LO phonon system in a semiconductor. We demonstrate that it is possible to compute the full many-body wave function of the electron-phonon system for short times. The time-dependent electron probability distribution, extracted from the many-body wave function, illustrates the non-Markovian nature of the early time kinetics. The retarded onset of dissipation and kinetic energy overshoots are explained through virtual, nonresonant transitions.

Physical Review Letters•Oct 21, 1996•10 citations
We present a new approach to quantum kinetics based on a Schr\"odinger's equation formalism. As an example we apply this method to a coupled electron-LO phonon system in a semiconductor. We demonstrate that it is possible to compute the full many-body wave function of the electron-phonon system for short times. The time-dependent electron probability distribution, extracted from the many-body wave function, illustrates the non-Markovian nature of the early time kinetics. The retarded onset of dissipation and kinetic energy overshoots are explained through virtual, nonresonant transitions.