Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774843 | Journal of Mathematical Analysis and Applications | 2017 | 20 Pages |
Abstract
Generalised Hagedorn wave packets appear as exact solutions of Schrödinger equations with quadratic, possibly complex, potential, and are given by a polynomial times a Gaussian. We show that the Wigner transform of generalised Hagedorn wave packets is a wave packet of the same type in phase space. The proofs build on a parametrisation via Lagrangian frames and a detailed analysis of the polynomial prefactors, including a novel Laguerre connection. Our findings directly imply the recently found tensor product structure of the Wigner transform of Hagedorn wave packets.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Helge Dietert, Johannes Keller, Stephanie Troppmann,