Beyond Classical Limits: Spectral Analysis and Geometry of Quantum Systems

Dr. Evgeny Vybornyi

Mathematical Physics, Partial Differential Equations, and Quantum Mechanical Models

The research focuses on the mathematical methods for the analysis of equations in quantum mechanics. My main area of interest is the asymptotic analysis of the spectral properties of the Schrödinger operator associated with the quantum tunneling effect. The research is important both from a mathematical point of view, within the theory of partial differential equations, and for the development of models and applications in nanoelectronics.