Articles

Research topics

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