Boris Vladimirovich Bondarev was born on September 22, 1941. After graduation from Moscow Institute of Physics and Technology in 1965 he worked in Lebedev Institute of Physics. In 1968 he started his work in Moscow Aviation Institute. Since then his scientific and teaching activities were connected to MAI.

His PhD thesis (1974) was dedicated to general relativity theory. Soon after that he developed the theory of capillary discharge in plasma. 

He developedthe theory of step kinetics of solid-phase reactions, based on correlation function of reagents. 

He showed that the Arrhenius Law works at low temperatures. The tunneling mechanism of microdiffusion of free radicals showed the dependence of localization volume on the distance between radicals. 

He constructed the statistics theory of solid-phase biomolecular reactions, developed the probability theory of biomolecular reactions. 

He built the statistics theory of kinetics of ordered binary alloys. From Liouville-von Neumann equation he derived the quantum kinetic equation for density matrix, taking into account the behaviour of quantum system of interaction with thermostat. 

He received the equation for many-particle system that was true for one-particle density matrix and described the behaviour of quantum system with thermostat. 

He developed the variational method for one- and two-particle density matrices. 

He showed that coulomb interactionof electrons in metals leads to model Hamiltonian that describes all properties of superconductors. 

This Hamiltonian has two summands. The variational principle gives the equation for the function of distribution over wave vectors. One summand in Hamiltonian leads to anisotropy of distribution function from which the superconductivity follows. The second summand shows the presence of the energy gap. 

For density matrix he built the theory of equilibrium states of quantum Bose-gas, which describes the superfluidity. He wrote the Lindblad equation for quantum harmonic oscillator and derived the relation of indefiniteness in dependence on temperature.