|
The frame of the proposes QTeam project offers a broad spectrum of imaginable research directions and agrees thereby with considerations of Huber ((2013), §3, S. 250) with regard to requirements of research projects for heterogenous student groups. Diversity in depth of roles and tasks as well as differences in research contents according to skills of the team members have been taken into consideration.
Since participating students pose their own research questions within the project's focus,
three exemplary directions of research shall be outlined in the following which are determined by the student's individual expertise and interests.
Physics student towards B.Sc. with minor preexistant knowledge: yet uninvestigated parameter dependencies could be examined employing the MCTDH simulations package in order to come to concludions towards their consequences on the overall problem at hand. One could develop working hypotheses from the describing basic equations of the system which can be verified by choice of appropriate simulations. In this way, empirical rules can be found which govern the individual combinations of parameter variations. Those can thus be generalized.
Mathematics student bringing good understanding in linear algebra: as simulations alone produce onyl data sets for predetermined parameter values, it is not possible to reach general statements on this route. Alternatively, the student could follow mathematically rigorous trains of thought and apply different decomposition algorithms and completeness proofs on the general problem without the necessity to solve the computerexperiment analytically. The gained conclusions can then be verified exemplarily on the data set of the simulations by the student themselves or the team.
Student of Engineering, or with interest on applications: up-to-date, ICEC is a theoretically prognosed process in agreement with scattering theory and quantum mechanics but is yet lacking experimental proof or technological application. The student can occupy themselves with the question, how a real-world experiment would need to be set up. Which implications do the assumptions underlying the computer experiment have on the real world? How would the simulated structures have to look like and which methods are available and necessary in order to produce them? Which materials present themselves as potential candidate? Which possibilities are imaginable to use the process in a real device?
Further examples of research directions:
· constants of motion and advantageous coordinate transformations
· optimization of project architecture, compatibility with and use of SQL in Scientific Computing, data evaluation / data ressource management
· visualization of the multidimensional parameter surface for a geometric approach towards the practical problem at hand
|