
Microscopic theory and quantum kinetic equations for BoseEinstein condensation, including discovery of the constraintcutoff mechanism and universal scaling of the critical phenomena in phase transitions and theorem on the nonpolynomial averages in statistical physics (see V.V. Kocharovsky and Vl.V. Kocharovsky, Phys. Rev. A 81, 033615 (2010); V.V. Kocharovsky, Vl.V. Kocharovsky, and M.O. Scully, Phys. Rev. Lett. 84, 2306 (2000), and references therein)

Theory of superradiance and phenomenological quantum electrodynamics of active media, including the negativeenergy dissipativeinstability mechanism of superradiance (see V.V. Zheleznyakov, V.V. Kocharovsky, and Vl.V.Kocharovsky, Sov. Phys. Uspekhi 32, n.10, 835870 (1989); V.V.Kocharovsky and Vl.V.Kocharovsky, "Phenomenological quantum electrodynamics of active media and superradiance", In: Nonlinear Waves 3 (eds. A.V.GaponovGrekhov et al.), SpringerVerlag, Berlin, Heidelberg, 1990, pp.146161; A.A.Belyanin, V.V.Kocharovsky, Vl.V.Kocharovsky, Phys. Lett. A 149, 258 (1990); V.V. Kocharovsky, S. Cameron, K. Lehmann, R. Lutch, R. Miles, Yu. Rostovtsev, W. Warren, G.R. Welch, and M.O. Scully, Proc. Nation. Acad. Sci. 102, 7806 (2005), Y.D. Jho, X. Wang, X. Wei, J. Kono, D.H. Reitze, A.A. Belyanin, V.V. Kocharovsky, Vl.V. Kocharovsky, and G.S. Solomon, Phys. Rev. Lett. 96, 237401, (2006) and Phys. Rev. B 81, 155314 (2010), and references therein)

Discovery of the quantum gravity field theory with the unbounded from below Hamiltonian, including suggestion of the new class of dynamical systems, characterized by the unbounded Hamiltonians, and demonstration of their highly nontrivial nonlinear dynamics with the regions of chaos, fractal structures and dramatic changes in the structural stability in the parameter space for an example of a cosmological model with a selfcreation of gravity and massive scalar field of matter solely due to gravitymatter interaction (see V.V. Kocharovsky and Vl.V. Kocharovsky, Foundations of Physics 26, 243 (1996), G.B. Akguc, L.E. Reichl, E.V. Derishev, Vl.V. Kocharovsky and V.V. Kocharovsky, Phys. Rev. E 70, 066210 (2004), and references therein)

Discovery and theory of the converter acceleration mechanism for the origin of the ultrahigh energy cosmic rays (with the energies greater than 10^19 eV) (see E.V. Derishev, F.A. Aharonian, V.V. Kocharovsky, and Vl.V. Kocharovsky, Phys. Rev. D 68, 043003 (2003); Astrophysics and Space Science 297, 21 (2005), and references therein)

Discovery of the analytical solution for the selfconsistent current structures in relativistic plasma (see V.V. Kocharovsky, Vl.V. Kocharovsky, and V.Ju. Martyanov,
Phys. Rev. Lett. 104, 215002 (2010) and references therein)

Theory of the nonadiabatic mode coupling, wave propagation and emission of radiation in the nonstationary inhomogeneous media (see V.V.Zheleznyakov, V.V.Kocharovsky, Vl.V.Kocharovsky, Sov. Phys. Uspekhi 26, n.10, 877905 (1983); A.A.Belyanin, V.V.Kocharovsky Vl.V.Kocharovsky, Phys. Rev. Lett. 76, 3285 (1996); V.V.Kocharovsky Vl.V.Kocharovsky, S.Tasaki, Adv. Chemical Physics 99, Ch.6, 333368 (1997); A.A. Belyanin, F. Capasso, V.V. Kocharovsky, Vl.V. Kocharovsky, Phys. Rev. Lett. 88, 053602 (2002); M.O. Scully, V.V. Kocharovsky, A.A. Belyanin, E. Fry, and F. Capasso, Phys. Rev. Lett. 91, 243004 (2003), and references therein)

Discovery of the BraggCoulomb mechanism for the hightemperature superconductivity (see V.V. Kocharovsky and Vl.V. Kocharovsky, Physica C (Superconductivity) 173, 425 (1991), Physica C (Superconductivity) 200, 385 (1992))

Theory and experiments on the new semiconductor laser sources for the optoelectronics in the mid/farinfrared range based on the nonlinear optical processes inside a laser cavity with an active medium (see A.A.Belyanin, F.Capasso, V.V.Kocharovsky, Vl.V.Kocharovsky, M.O.Scully, Phys. Rev. A 63, 053803 (2001); A.A.Belyanin, D.Deppe, V.V.Kocharovsky, Vl.V.Kocharovsky, D.S.Pestov, M.O.Scully, PhysicsUspekhi 46, n. 9, 986 (2003); N.Owschimikow, C.Gmachl, A.A.Belyanin, V.V.Kocharovsky, D.L.Sivco, R.Colombelli, F.Capasso, and A.Y.Cho, Phys. Rev. Lett. 90, 043902 (2003); A.A. Biryukov, B.N. Zvonkov, S.M. Nekorkin, P.B. Demina, N.N. Semenov, V.Ya. Aleshkin, V.I. Gavrilenko, A.A. Dubinov, K.V. Maremiyaninov, S.V. Morozov, A.A. Belyanin, V.V. Kocharovsky, Vl.V. Kocharovsky, Appl. Phys. Lett. 90, 171106, (2007); B.N.Zvonkov, A.A.Biryukov, A.V.Ershov, S.M.Nekorkin, V.Ya.Aleshkin, V.I.Gavrilenko, A.A.Dubinov, K.V.Maremyanin, S.V.Morozov, A.A.Belyanin, V.V.Kocharovsky, and Vl.V.Kocharovsky, Appl. Phys. Lett. 92, 021122, (2008), and references therein)
