![[ image: Kinematics of vector fields over (Ln,g) spaces (Courtesy Dr. S. Manov)]](2n1.gif) |
Kinematics of vector fields over (Ln,g) spaces (Courtesy Dr. S. Manov) |
- Group-theoretical methods utilizing such symmetric objects as infinite-dimensional algebras, quantum and Lie groups, supersymmetric generalizations; conformal invariant, low-dimensional and axiomatic quantum field theories; string and integrable quantum models; classical integrable systems, soliton physics; relations between quantum field theory and statistical physics; phenomenological models of strong and weak interactions and of atomic and molecular systems; differential-geometric structures and applications in gauge field theory and gravitation physics; quantum mechanics, optics and interface phenomena
- Structure of the collective and single-particle states in atomic nuclei and other multifermion systems; short distance nucleon correlations and their influence on the properties of atomic nuclei and nuclear processes; group-theoretical approach for the description of multifermion systems; influence of the subnuclear structure on the properties of atomic nuclei and processes
- Solving non well determined and approximating problems by developing optimal regulating algorithms; modeling and investigating the stability of point defects in clusters of ion crystals
- Development of approaches based on the density functional theory construction of spin-dependent density functional description of open shell systems, application of these approaches to the different manyelectron objects such as atoms, molecules and crystals.