In the mesoscopic systems there is a strong interplay between classical (macroscopic) and quantum (microscopic) degrees of freedom. Very often we have to deal with nonintegrable systems. However, many properties of such systems can be analyzed in terms of classical periodic orbits. The second research line is devoted to analysis of the conditions that allow to illuminate hidden symmetries in the classical analogues of corresponding quantum systems. As a result, these symmetries manifest themselves in the corresponding quantum spectra as specific integrals of motion, that could elucidate their quantum properties.
One of the main challenge of the modern photovoltaics is a construction of efficient thin-film technology. My third research line is devoted to analysis of various physical conditions that would allow to increase power conversion efficiency of thin-film solar cells based on perovskite semiconductors.
The main goal of my research is to find fundamental laws that would be useful for creation of various nanosystems for technological applications.