Challenging spectral theory with artificial materials
Public support
Provider
Czech Science Foundation
Programme
Standard projects
Call for proposals
SGA0202600001
Main participants
České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
Contest type
VS - Public tender
Contract ID
26-21940S
Alternative language
Project name in Czech
Challenging spectral theory with artificial materials
Annotation in Czech
The circular drum produces the lowest fundamental tone. Or, among all domains of given area, the disk minimises the lowest eigenvalue of the Dirichlet Laplacian. Does the optimality of disk persists for the Dirac operator? This type of questions constitute the first part of this proposal, where spectral geometry is challenged with relativistic quantum materials (graphene). The second part is concerned with developing a systematic spectral analysis of matrix differential operators mixing the Laplace and Dirac structures, which describe brand-new hybrid materials (semi-Dirac semi-metals). The last, synergistic part is concerned with quantum methods applied to models in relativistic theory of gravity. The study of the individual tasks will lead to new abstract techniques reinforcing the present operator-theoretic apparatus globally. The present project is an updated version of the standard and EXPRO projects which were both recommended for funding last year if there were sufficient funds.
Scientific branches
R&D category
ZV - Basic research
OECD FORD - main branch
10101 - Pure mathematics
OECD FORD - secondary branch
10102 - Applied mathematics
OECD FORD - another secondary branch
10302 - Condensed matter physics (including formerly solid state physics, supercond.)
CEP - equivalent branches <br>(according to the <a href="http://www.vyzkum.cz/storage/att/E6EF7938F0E854BAE520AC119FB22E8D/Prevodnik_oboru_Frascati.pdf">converter</a>)
BA - General mathematics<br>BD - Information theory<br>BM - Solid-state physics and magnetism
Solution timeline
Realization period - beginning
Jan 1, 2026
Realization period - end
Dec 31, 2028
Project status
Z - Beginning multi-year project
Latest support payment
—
Data delivery to CEP
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data delivery code
CEP26-GA0-GA-R
Data delivery date
May 4, 2026
Finance
Total approved costs
10,569 thou. CZK
Public financial support
10,569 thou. CZK
Other public sources
0 thou. CZK
Non public and foreign sources
0 thou. CZK