The inverse problem of two-state quantum systems with non-adiabatic static linear coupling-Reference-Cited by-同舟云学术

The inverse problem of two-state quantum systems with non-adiabatic static linear coupling

Published:2020-03-04 Issue:04 Volume:23 Page:2050002
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Khrabustovskyi Andrii¹²,Rassas Imen³,Soccorsi Éric⁴

Affiliation:

1. Technische Universität Graz, Institut für Angewandte Mathematik, Steyrergasse 30, Graz 8010, Austria

2. Department of Physics, Faculty of Science, University of Hradec Králové, Rokitanského 62, Hradec Králové 500 03, Czech Republic

3. Université de Tunis El Manar, École Nationale d’Ingénieurs de Tunis, LAMSIN, BP 37, Tunis Le Belvédère, Tunisia

4. Aix-Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France

Abstract

We consider the inverse problem of determining the coupling coefficients in a two-state Schrödinger system. We prove a Lipschitz stability inequality for the zeroth- and first-order coupling terms by finitely many partial lateral measurements of the solution to the coupled Schrödinger equations.

Funder

Austrian Science Fund

Agence Nationale de la Recherche

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199720500029

Reference25 articles.

1. Multi-lambda matter in a derivative coupling model

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