Research interests are: quantum-mechanical perturbation theory, summation
of divergent perturbation series, quasiclassical methods for resonant states.
Specifically, Stark effect and 1/D-expansion (where D is
the dimensionality of space) for various quantum-mechanical problems, such
as screened Coulomb potentials, Stark and Zeeman effects, helium-like ions,
and two-centre-Coulomb problem. During the last year, worked on: investigation
of asymmetrically doubly excited two-electron atoms within large-dimensional
approach; application of self-consistent-field version of semiclassical
perturbation theory to molecular Hamiltonians; singularity analysis of
the semiclassical perturbation series for two-electron atoms; developing
new schemes to sum the perturbation series for resonances.