KPRDG · Quantum graphs with quasiperiodic and random interactions
FP7 — People (Marie Curie Actions)
- Duration
- 2008-07-01 → 2010-06-30
- EU contribution
- €154,345
- Participants
- 1
- Scheme
- MC-IEF
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Results in brief
Quantum graphs with quasiperiodic and random interactions
The short period of training of K. Pankrashkin lead to two research publication, one in collaboration witht his superviser and one alone. It also enabled the start of some research published after the project's premature termination. In the first research paper, the authors show Anderson localisation for quantum graphs with random edge lengths. In the second publication, the trainee studies the spectral properties of quantum graphs that are akin to the surface Maryland model. We give more details in the attached document.
Data: CORDIS, © European Union
Project objective
The project aims at studying quantum graphs (differential operators on singular one-dimensional manifolds) with various types of disorder interactions. We are going to study various sources of such interactions (random vertex couplings, random magnetic field, random metric properties, quasiperiodic interactions) and to understand their contribution to the spectral and scattering properties of the corresponding operators, i.e. Anderson localization, stability of the spectrum, fractal spectra etc.
Original text from CORDIS.
Participants
- UNIVERSITE PARIS 13 · VilletaneuseCoordinatorFrance
Links
Data: CORDIS, © European Union