Dispersive effects for the Schrödinger equation on finite metric graphs with infinite ends
We study the free Schrödinger equation on finite metric graphs with infinite ends. We give sufficient conditions to obtain the L1(R)→L∞(R) time decay rate at least t−1/2. These conditions allow certain metric graphs with circles and/or with commensurable lengths of the bounded edges. Further we study the dynamics of the probability flow between the bounded sub-graph and the unbounded ends.
Authors
- Serge Nicaise (ORCID: https://orcid.org/0000-0003-3673-3495)
- Félix Ali Mehmeti
- Kaïs Ammari (ORCID: https://orcid.org/0000-0003-2920-4106)
Institutions
- Centre National de la Recherche Scientifique (FR)
- University of Monastir (TN)
- Université Polytechnique Hauts-de-France (FR)
Publication Details
- Journal
- Journal of Mathematical Physics
- Published
- 2024-11-01
- DOI
- https://doi.org/10.1063/5.0183771
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00