Collective diffusion on surface layers

All dynamic phenomena that happen in adatom surface layers at crystal surfaces are very important in catalysis, nanostructuring, chemical reactions, and many other physical processes. The surface mobility of particles depends on the surface structure and inter-particle interactions. We are studying the influence of both these factors onto the collective diffusion of the surface layers. We construct analytical models that allow us to calculate the diffusion coefficient in interacting lattice gas, and compare with numerical results of dynamical MC simulations. The change of diffusion coefficient with the surface phase transitions is of special interest. We study also cluster time dynamics in the ordered phases and related phenomena

Light scattering by random media

Interaction of light with random media is one of the important research fields because of various possible applications to chemistry and even biology. A novel method of approach to these problems has been developed. Relations to the random matrix theory has been established and exploited. This gave connection with random processes in solid state physics, like the Anderson localization.

Electrodynamics with boundary conditions and scattering problems

The structure of electromagnetic field in space confined by dielectric boundaries is important because of applications in fiber optics and electrical engineering. Field modes in various geometries has been determined and applied to the discussion of various optical and QED phenomena.
Traditional concept of cross sections in quantum mechanics has been critically examined in the light of thorough analysis of simple model scattering experiments.

Quantum statistical properties of radiation

New measure of the statistical properties of the radiation field has been introduced. It has been called Wehrl entropy. Usefulness of this measure has been demonstrated on several physically relevant examples, like in the problem of phase operator in quantum optics. A new uncertainty relation between phase and amplitude of the electromagnetic field has been discussed.

Quantum properties of wave packets

Quantum-electrodynamical effects in the propagation of light beams. Propagation of electrons in the field of electromagnetic waves.

Left-Handed Materials

Physics of ultra-cold quantum gases

Theory of Bose-Einstein condensation of dilute trapped gases. Statistical and thermodynamical properties of condensates. Coherence of quantum Bose gases and high-order correlation functions. Superfluidity, soliton structures and quantized vortices in Bose-Einstein condensates. Spinor condensates. Degenerate Fermi gases and Fermi-Bose mixtures.