• Detection of a new collective mode in He II in narrow channels under conditions of partial deceleration of the normal component.
• Restoration of the energy spectrum of superfluid solutions of ³He - ⁴He from systematic measurements of the density of the normal component and the detection of the end point of the Fermi branch of the spectrum.
• Proposal and implementation of the method of studying the phase diagrams of liquid solutions of ³He in ⁴He using NMR.
• Identification of the main dissipative processes in superfluid solutions of ³He in ⁴He in the waves of the first, second and fourth sounds.
• Pioneering studies of the kinetics of the phonon-impurity system of superfluid solutions and the discovery of a new two-stage relaxation process.
• Detection of new features of He II superfluid transfer across a film in an alternating electric field.
• Determination of the anomalous dispersion of the phonon spectrum of superfluid solutions of ³He - ⁴He and its connection with kinetic processes.
• Observation of a metastable long-living superfluid fluid and elucidation of the mechanisms of nucleation during the separation of superfluid solutions.
• Detection of convective instability in stratified superfluid ³He – ⁴He solutions when heated from the bottom.
• Identification of the mechanisms of temperature and concentration relaxation in superfluid solutions of ³He - ⁴He at temperatures below 0.5 K.
• Detection of the mechanic-electric effect in superfluid helium (appearance of an electrical response) in the presence of a temperature gradient.
• Observation of turbulent flow formation and identification of dissipative processes in superfluid solutions of helium isotopes.
• Detection of resonant excitation of rotons by microwave electromagnetic wave in superfluid helium.
• Observation of the evolution of collective modes in superfluid helium filling a highly porous aerogel.
• Identification of relaxation processes in the phonon-phonon system He II.
• Observation of condensation of ³He impurities on quantized vortices in superfluid weak solutions of ³He in ⁴He.
• Detection of intermediate flow regime in the process of formation of superfluid turbulence, due to the formation of a coil of quantized vortices of high density.
• Establishing the dissipative mechanisms under oscillations of a quartz tuning fork immersed in superfluid helium and liquid mixtures 3He - 4He

• Discovery of the phenomenon of quantum diffusion of ³He impurities in solid mixtures of ³He in ⁴He.
• Detection of a huge difference in the diffusion coefficients of ³He in the coexisting bcc and hcp phases of solid helium.
• Establishment of the essential role of dislocations in the thermal conductivity of solid ⁴He and solutions of ³He - ⁴He.
• Detection of the effect of self-localization of impurities in hcp helium crystals at low temperatures and their delocalization due to interaction with phonons under increasing temperature.
• Detection of a correlation between the phase separation rate and the quantum diffusion of impuritons in ³He - ⁴He solid solutions;
• Detection of non-monotonic temperature dependence of the decomposition rate of weak solid solutions of ³He in ⁴He.
• Observation of anomalously fast mass transfer during dissolution of solid ³He clusters in a stratified solution of helium isotopes.
• Observation of a fast diffusion process in solid solutions of ³He in ⁴He near the bcc – hcp transition.
• Detection of anomaly in the temperature dependence of the spin-lattice relaxation in the concentrated phase of the decomposed ³He - ⁴He solid solution.
• Proof of homogeneous nucleation due to decomposition of solid ³He – ⁴He mixtures.
• Observation of Andreev – Pushkarov nanoclusters consisting of ⁴He atoms around quasi-equilibrium vacancies.
• Detection of the giant asymmetry of the processes of decay and homogenization of solutions of quantum crystals.
• The first observation of multi-echo NMR in a stratified ³He - ⁴He solid solution.
• Detection of correlation effects in the excitation subsystem due to large-scale concentration fluctuations in ³He - ⁴He solid solutions.
• Detection of liquid-like inclusions in hardened hcp samples of ³He - ⁴He.
• Proof of homogeneous nucleation at the bcc – hcp transition in ⁴He. Investigation of conditions for homo- and heterogeneous nucleation.
• Detection of the disordered (glass) phase in solid ⁴He in the supersolid region.
• Determination of the mass diffusion coefficients for the decomposition of solid solutions of helium isotopes in the entire concentration range of ³He.
• Observation of the evolution of the phase composition and the formation of a glass-like state in the solid helium system — liquid inclusions in the region of existence of the bcc phase of solid helium.
• Detection of the quantum creep mechanism of solid helium at temperatures below 0.2 K.

• Determination of the nature of the interaction of ³He impurities with charged particles on the basis of measuring the ion mobility in superfluid helium and solutions of ³He in ⁴He.
• Detection of electron-ripplon interaction in a two-dimensional system of electrons over liquid helium.
• Construction of the phase diagram of the liquid - electron crystal at ultra low temperatures.
• The first information on the conductivity and resonance properties of an electron crystal over liquid helium in nonlinear modes was obtained.
• Detection of new modes of coupled electron ripplon oscillations in a Wigner crystal on the helium surface.
• Detection of a new optical mode of edge magnetoplasma oscillations in a two-dimensional electron crystal.
• Implementation of a quasi-one-dimensional electron system over liquid helium and the study of its transport properties.
• Detection of the effect of limited geometry on collective and kinetic phenomena in multilevel two-dimensional and one-dimensional surface electron systems over massive helium and helium film.
• Creation of a generator and a highly sensitive detector of electromagnetic radiation using electrons localized above the surface of superfluid helium.
• Creation of a bolometer in the infrared range, based on spectroscopic transitions of surface electrons over liquid helium.
• Detection of the localization-delocalization transition in the electron layer above the superfluid helium film.
• Detection of the anomalous nature of electron transfer in quasi-one-dimensional channels over superfluid helium.
• Establishing the effect of the screening effects of the Coulomb interaction on the spectrum of plasma oscillations of electrons localized over a helium film.
• Detection of the autolocalized state of quasi-one-dimensional surface electrons in dense helium gas.
• Observation of the anomalous conductivity of electrons in quasi-one-dimensional conducting channels over liquid helium in the presence of inhomogeneous potential along the channel.
• Establishment of the dependence of the nonlinear conductivity of a system of electrons over liquid helium under electron-ripplon scattering conditions.
• Detection of non-equilibrium phase transitions in a two-dimensional electron crystal over liquid helium, stimulated by electric fields.
• Research of features of transport and structural properties of two-dimensional electronic system in restricted geometry, including in narrow channels.