Selected scientific results

• Analytic conditions for the existence of localized states in linear chains with an arbitrary number of impurities
• Analytic solution of the Schrodinger equation for simple models of atomic clusters (the so-called analytic cluster model)
• Analytic formulas for describing size effects in clusters and quasi-onedimensional systems
• Series of papers on lithium clusters and the size dependence of their properties
• Program for the computer analysis of the group symmetry of molecules
• A new algebraic method for the solution of the generalized master equation
• Analytic solution of the Schrodinger equation for a linear chain with a single impurity
• Analytic solution of the Schrodinger equation for a seminfinite linear chain
• Analytic solution of the Pauli master equation for a linear chain with a single trap
• Theory of excitation energy transfer in the primary processes of photosynthesis (series of papers)
• Analytic solution of a simple model describing excitation energy transfer in the primary processes in photosynthesis
• Interpolation formula for describing systems with an intermediate degree of the transport coherence
• Some new results on the density of states of disordered linear chains
• Analytic solution of the Pauli master equation for the proton transport along hydrogen bond chains
• A new method of calculating analytic solutions of the Schrodinger equation
• A new method of calculating perturbation energies using functions which are not quadratically integrable
• Analytic solution of the Schrodinger equation for the modified quartic oscillator
• Large order analysis of the strong coupling perturbation theory for the ordinary anharmonic oscillators
• Large order analysis of the strong coupling perturbation theory for the renormalized anharmonic oscillators
• Analytic structure of the renormalized strong coupling perturbation theory
• Quantum mechanics and mathematical statistics
• New uncertainty relations that are stronger that the Heisenberg and Richardson-Schrodinger uncertainty relations
• Hamilton principle and Fisher information