Mathematical aspects of the physics with non-self-adjoint operators / Les aspects mathématiques de la physique avec les opérateurs non-auto-adjoints

Collection Mathematical aspects of the physics with non-self-adjoint operators / Les aspects mathématiques de la physique avec les opérateurs non-auto-adjoints

Organizer(s) Lucrezia Cossetti (University of the Basque Country) Borbala Gerhat (Institute of Science and Technology Austria) David Krejčiřík (Czech Technical University of Prague) Petr Siegl (Graz University of Technology)

Date(s) 20/04/2026 - 24/04/2026

linked URL https://conferences.cirm-math.fr/3476.html

00:00:00 / 00:00:00

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Stability analysis of a quantum dissipative system

By Simona Rota Nodari

In this talk I will present the stability properties of plane wave solutions for a system describing quantum particles interacting with a complex environment. From a mathematical point of view, this amounts to studying a system of PDEs coupled in a non-local (in time and space) way, which complicates the analysis considerably compared to the usual nonlinear Schr¨odinger equations. The strategy adopted is based on the identification of suitable Hamiltonian structures and Lyapunov functionals. Work in collaboration with T. Goudon.

Information about the video

Date of recording 23/04/2026
Date of publication 21/05/2026
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20474003
Cite this video Rota Nodari, Simona (23/04/2026). Stability analysis of a quantum dissipative system. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20474003
URL https://dx.doi.org/10.24350/CIRM.V.20474003

Domain(s)

Analysis of PDEs

Bibliography

GOUDON, Thierry et ROTA NODARI, Simona. Plane wave stability analysis of Hartree and quantum dissipative systems. Nonlinearity, 2023, vol. 36, no 12, p. 6639-6711. - https://doi.org/10.1088/1361-6544/ad001e

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