Total Variation of the Control and Energy of Bilinear Quantum Systems

2013/03/14 by Nabile Boussaïd, Nabile Boussaid, Marco Caponigro +4
Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Mathematics #Laser-Matter Interactions and Applications #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations #math.OC

paper · pdf · doi:10.48550/arxiv.1303.3378

arxiv created 2013/03/14 · openalex publication_date 2013/03/14 · arxiv updated 2013/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present note, we give two examples of bilinear quantum systems showing good agreement between the total variation of the control and the variation of the energy of solutions, with bounded or unbounded coupling term. The corresponding estimates in terms of the total variation of the control appear to be optimal.

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