Mathematical Challenges of Quantum Transport in Nano-Optoelectronic Systems - Abstract
Popov, Igor Yu.
Model of zero-range potential for the Maxwell operator in domains with small boundary openings is suggested. It is based on the theory of self-adjoint extensions of symmetric operators. Another version of the model is related with the description of opto-electronic systems. It is a generalization of zero-range potentials with internal structure for the Schrödinger operator. Operator extensions theory technique allows one to switch on point-like interaction between classical electro-magnetic field (Maxwell operator) and electron (Schrödinger operator).