Propagation of Wave Packets Close to Conical Intersections

Fuente: arXiv
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Autor principal: Curely, Marianne
Formato: Preprint
Publicado: 2025
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author Curely, Marianne
author_facet Curely, Marianne
contents In this paper, we study the propagation of wave packets close to conical intersections with respect to a system of two Schr{ö}dinger equations presenting a codimension 2 crossing. We focus on the dynamics that occur when the wave packets pass through an area close to the crossing, and our main results provide an explicit formula for the outgoing wave packet in terms of the incoming one, with a complete description of its phase and of the classical trajectories it follows, including a drift.
format Preprint
id arxiv_https___arxiv_org_abs_2509_06420
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Propagation of Wave Packets Close to Conical Intersections
Curely, Marianne
Analysis of PDEs
In this paper, we study the propagation of wave packets close to conical intersections with respect to a system of two Schr{ö}dinger equations presenting a codimension 2 crossing. We focus on the dynamics that occur when the wave packets pass through an area close to the crossing, and our main results provide an explicit formula for the outgoing wave packet in terms of the incoming one, with a complete description of its phase and of the classical trajectories it follows, including a drift.
title Propagation of Wave Packets Close to Conical Intersections
topic Analysis of PDEs
url https://arxiv.org/abs/2509.06420