The proposed research constitutes an interesting interplay of mathematics, computing and physics sciences by combining modern computational techniques with modern theories of physics and precise experimental data related to exotic leptonic atomic systems. To this end, central role will play the development of advanced software tools to link the theoretical predictions with contemporary experimental data and, thus, implement future research in currently hot applications as well as open research problems in these fields.
Among the key outcomes of the proposed research,
we expect high level publications in high-impact journals, presentations at
major international conferences, and seminars/talks in Greece, UK, etc., which
will further ensure impact on the academic community. The methodology and
results of the project will be presented in a language accessible to both
mathematicians and physicists via demonstration of the conceptual
clarifications and modelling advantages brought by the new computational
approaches. In addition, the project may create educational outputs through
the establishment of a modern and general framework for learning and teaching fundamental differential equations like the Dirac, Breit-Darwin, non-linear Schroedinger, Klein-Gordon, etc. The advanced scientific research of this
project, may contribute appreciably in shifting the understanding of
mathematical modelling, computational instruments and physical theories of hot research topics among the researches of common interest in computing, atomic, nuclear and particle physics as well as other sciences.
This way, the proposed treatment of the mathematical/computational
problems, inherent to phenomena and properties of the new matter, may
successfully be combined with concrete examples and experimental data treated by theorists, mathematicians and experimentalists. Finally, the PI is going to participate in various conferences and workshops covering the wide range of disciplines addressed by this project to disseminate the project’s results. The main research components will be presented in major international or national conferences, through oral or poster presentations. The results of the proposed research will be disseminated in journals, along with supplementary data and information as far as possible. Publications will be preserved on the arXiv repository and journal websites indefinitely. The software tools to be developed, as part of the project will be made available on public repositories. Intermediate results and data generated throughout the project will be stored on the host University servers.
