Vitaly Kocharovsky has co-authored about 300 papers in refereed journals and proceedings. His scientific interests in theoretical physics and applied physics are very broad and cover a wide range of problems in physics, astrophysics, and cosmology, including: Complex systems and NP-complexity, quantum and nonlinear optics and dynamics, quantum computing, physics of semiconductors and nanostructures, optoelectronics, atomic and molecular physics, quantum electrodynamics including cavity QED, laser physics, fiber optics; generation of radiation in various spectral ranges (microwaves, THz, far/mid/near-infrared, optics, X- and gamma-rays), theory of superradiance and other cooperative coherent processes, plasma physics and electronics, electrodynamics and propagation of waves in inhomogeneous, anisotropic, active or absorbing media (solids, liquid crystals, gases, plasmas, waveguides); physics of nonequilibrium and many-body phenomena, theory of phase transitions and critical phenomena, superconductivity and superfluidity, Bose-Einstein condensation, Ising model, methods of the Green's function and matrix permanent; quantum gravity and quantum field theory, astrophysics of gamma-ray bursts, neutron stars, black holes, extremely high energy cosmic rays, theory of the Universe inflation and Big Bang.
Vitaly Kocharovsky, Vladimir Kocharovsky, and Sergey Tarasov. “Unification of the Nature's Complexities via a Matrix Permanent - Critical Phenomena, Fractals, Quantum Computing, NP-Complexity.” Entropy, 22(3), 322, Mar 2020.
V. V. Kocharovsky, C. B. Reynolds, and Vl. V. Kocharovsky. “Eigenmodes of a lamellar optical grating: Profile, propagation, reflection, transmission, and nonadiabatic mode coupling.” Phys. Rev. A, 100(5), 053854, Nov 2019.
S.V. Tarasov, Vl.V. Kocharovsky, and V.V. Kocharovsky. “Anomalous statistics of Bose-Einstein condensate in an interacting gas: An effect of the trap's form and boundary conditions in the thermodynamic limit.” Entropy, 20(3), 153, 2018.