The concept of supersymmetry was offered, on the basis of which
the representation of spin 1/2 Goldstone fermions was introduced and, for the
first time, the basic concepts of the supergravitation theory were formulated.
The idea of supersymmetry has allowed to eliminate a number of basic difficulties
of the quantum field theory and has provided one of central ideas of constructing
a unified theory of fundamental interactions, including gravitation. Various
aspects of supersymmetry, supergravitation, superstrings were developed; the
mathematical apparatus of the supersymmetry theory and its applications in the
elementary particle physics were elaborated.
The theory of polarisation effects was developed for processes
of high-energy interaction of photons and electrons with nucleons and light
nuclei on the basis of general principles of relativistic invariance and the
fundamental properties of the symmetry of interactions. Manifestations of dibaryon
resonances in electromagnetic interactions of photons and electrons with light
nuclei were investigated. The theory of polarization phenomena at pseudoscalar
and vector mesons production in nucleon-nucleon scattering was developed.
Theoretical seminar, 1986. At the blackboard
- A.I.Akhiezer.
Theoretical seminar, 2003.
The cross-section and spin observed values for an elastic proton-nuclear
scattering at intermediate energies taking into account virtual excitation of
target nuclei were obtained on the basis of generalization of the Glauber-Sitenko
multiple diffractive scattering theory. The asymptotically uniform solutions
in the problem of diffractive hadron-nuclear and nuclear-nuclear scattering
in a semitransmittant nuclear model were obtained. Relativistic and unitary
model was suggested to study pion-nucleon scattering, photoproduction of pions
on the nucleon and Compton scattering on the nucleons.
The possibility of the dynamic chaos phenomenon related to collective
excitations of nuclei was predicted. Manifestations of dynamic chaos in nuclei,
determining some special features of nuclear interaction, are also studied.
The possibility of an anomalous chaos-regularity transition for simple Hamilton
systems in periodical external fields was predicted.
A quasiclassical theory of coherent scattering and radiation
of high-energy charged particles in oriented crystals was advanced. A dynamic
chaos phenomenon for fast particle movement in crystal lattice was predicted.
A possibility of an anomalous diffusion for relativistic particle channeling
in crystals was shown. A new mechanism of particle beam bending at ultra-high-energy,
using bent crystals and nanotubes, based on the process of multiple scattering
of particles on atomic rows was offered. The effects of suppression of the bremsstrahlung
and coherent radiation of ultra relativistic electrons in thin layers of amorphous
and crystalline matter were predicted. A possibility of similar effect for collisions
of short bunches of relativistic particles was predicted. A theory of the relativistic
electron transition radiation at ultra large radiation formation lengths (up
to several hundreds meters) was developed.
In the field of statistical physics, a problem of nonequilibrum
entropy determination definition of interacting particles was solved; the microscopic
theory of irreversible processes in condensed systems with a spontaneously broken
symmetry was advanced. The fermi-liquid approach to superfluid liquids was developed,
with the application in the study of equilibrium and kinetic properties of superconductors.
The reduced description method of macroscopic nonequilibrium fluctuations was
developed. Kinetic and hydrodynamic theories of long-wavelength fluctuations
were constructed in microscopic approach on the basis of this method. A stochastic
approach for the derivation of general equations of macroscopic fluctuation
evolution was elaborated. A number of applications of these approaches in the
turbulence theory, in "the long hydrodynamic tails" theory, and the quasilinear
theory of plasma were examined.
The microscopic theory of glass formation at melt cooling was
constructed, and the vitrification criterion was obtained. The glasses are shown
to be generally polycluster structures. A description of thermodynamic, kinetic
and mechanical properties of polycluster amorphous solids, in particular, metal
glasses, was given. On the basis of the fermi-liquid model a theory of magnetic
properties of conducting ferro- and antiferro-magnetic materials, including
structurally disordered materials, was constructed.
A theory of diffusive decomposition of multicomponent solid
solutions was developed. Since then the theory has found extensive application
in materials science and physics of condensed media. A theory of phase transformations
in highly nonequilibrum solid solutions, in viscous liquids and melts was constructed.
A theory of solute segregation at grain boundaries of polycrystals was proposed.
The theory was generalized for solute segregation in materials under irradiation.
Theoretical models were developed to describe the evolution
of binary alloys under irradiation; the technique was elaborated for constructing
structure-phase diagrams at ordering (disordering) of alloys under irradiation,
including radiation-induced cascade formation. For a number of alloys the structure-phase
diagrams being the analogues of the equilibrium diagrams were constructed. They
determine the equilibrium of different structure-phase states in relation to
temperature, irradiation dose and the alloy composition.