Work

Energy Estimates for Low Regularity Bilinear Schrödinger Equations

Year: 2013

Type: preprint

Abstract: This paper presents an energy estimate in terms of the total variation of the control for bilinear infinite dimensional quantum systems with unbounded potentials. These estimates allow a rigorous construction of propagators associated with controls of bounded variation. Moreover, upper bounds of the error made when replacing the infinite dimensional system by its finite dimensional Galerkin approximations is presented.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1302.0813

Authors: Boussaid, Nabile, Caponigro, Marco, Chambrion, Thomas

Institutions: Conservatoire National des Arts et Métiers, Institut national de recherche en sciences et technologies du numérique, Institut Élie Cartan de Lorraine, Centre Inria de l'Université de Lorraine

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2950423178

Cites: 18

Cited by: 1

Related to: 20