Propagation of Wave Packets Close to Conical Intersections

2025/09/08 by Marianne Curely, Curely, Marianne · 1 citation
Engineering · Physics and Astronomy · #Advanced Fiber Optic Sensors #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems

paper · pdf · doi:10.48550/arxiv.2509.06420

openalex publication_date 2025/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the propagation of wave packets close to conical intersections with respect to a system of two Schrödinger 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.

Citations

• Asymptotic initial value representation of the solutions of semi-classical systems presenting smooth codimension one crossings
• Discretising the Herman--Kluk Propagator
• Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms
• A Mathematical Justification for the Herman-Kluk Propagator
• Zur Quantentheorie der Molekeln

Cited by

• Edge State Propagation Near Multiple and Singular Interfaces

Related

• Wave packets propagation in the subwavelength regime near the Dirac point
• Wave packet dynamics for a non-linear Schrodinger equation: Qualitative changes with changes in the initial width
• Semiclassical analysis of the Schrödinger equation with conical singularities
• Decay for the wave and Schroedinger evolutions on manifolds with conical ends, Part I
• Decay for the wave and Schroedinger evolutions on manifolds with conical ends, Part II