# Research topics of the Department for Theoretical Physics

## Quantum statistical physics

- Quantum liquids
- Weakly-interacting Bose-systems
- Fractional statistics

## Physical systems in the quantized space

- One-particle classical and quantum systems in the space with deformed Heisenberg algebra
- Quantum systems with a position-dependent mass
- Many-particle problems
- Equivalence principle
- Relativistic systems
- Symmetries: Galilean and Lorentz transformations
- Black holes

## Supersymmetry in quantum mechanics

- Exactly and quasiexactly solvable problems
- Quantum-mechanical systems possessing supersymmetry
- Quantum systems with a position-dependent mass
- Quantum-mechanical analogy and supersymmetry in waveguides

## Quantum information

- Quantum brachistochrone
- Generation of quantum states
- Quantum topological phases
- Entanglement of quantum states

## Other topics

- Classical inhomogenous systems
- Weakly-relativistic statistical mechanics
- Potential models of hadrons
- History and philosophy of science
- Interdisciplinary studies