Research interests include:
- Atomic Physics
- High-Tc Superconductivity
- Quantum Field Theory and Quantum Gravity.
- An atom placed in a strong laser field exhibits very unexpected behaviour. A probability of the multiply-charged ion production greatly exceeds the theoretical prediction based on the step by step ionization. A mechanism describing the phenomenon was first suggested and then developed in Refs. [1,2,3]. The idea is that first one atomic electron is ionised. It absorbs and accumulates energy from the laser field. After that an inelastic collision with the parent atomic particle takes place and the accumulated energy is transferred to the atomic particle resulting in multiply-charged ion production. As a result the probability of the multiple ionization is enhanced by a very large, exponential factor. The mechanism found provides a possibility to consider a variety of processes in a strong laser field.
- Very strong hole-hole pairing in copper oxides due to spin-wave exchange was discovered in Ref. 4. The calculated pairing energy, ~ 100 K0, is in qualitative agreement with the experimental results.
- A new approach to a problem of quantum gravity is developed in Refs. [5,6,7]. Gravity is considered as a particular phenomenon which manifests itself in a conventional non-Abelian gauge theory formulated in flat space-time. The vacuum of the gauge theory should be in a new nontrivial phase in which (anti)instantons have preferred direction of orientation, i.e. they are "polarised". The radii of polarised (anti)instantons are comparable with the Planck radius. In this vacuum the low-energy degrees of freedom of the gauge field, with energy below the Planck energy, have very unusual properties. Surprisingly they are to be described with the help of the Riemann metric which satisfies the Einstein equations of general relativity. The gauge theory models in which (anti)instantons are polarised are suggested. Thus in the considered approach gravity appears as an effective description of the gauge field, the Einstein equation arises directly from the Yang-Mills theory. This is in contrast with the traditional formulation of general relativity in which space-time is postulated to be described by a nontrivial metric satisfying the Einstein equations. An important advantage of the suggested approach is that quantization of the considered theory is straightforward because basically it is the conventional Yang-Mills theory.