Renat Kh. Gainutdinov

Kazan (Volga Region) Federal University, Kasan, Tatarstan, Russia

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Publications (38)12.01 Total impact

  • R. Kh. Gainutdinov, A. A. Mutygullina
    02/2014; 78(3).
  • R. Kh. Gainutdinov, M. A. Khamadeev, M. Kh. Salakhov
    02/2014; 78(3).
  • R. Kh Gainutdinov, A. A. Mutygullina
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    ABSTRACT: We show that for some intensities of a driving laser field not only the laser modes but also the vacuum ones are involved into the strong atom-laser interaction and this has a significant effect on processes of resonance fluorescence.
    Journal of Physics Conference Series 11/2013; 478(1).
  • R. Kh Gainutdinov, M. A. Khamadeev, M. Kh Salakhov
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    ABSTRACT: We study a recently predicted novel-type quantum electrodynamical effect that takes place in the photonic crystal medium. It consists in the fact that the modification of the interaction of a charged particle with its own radiation field in the photonic crystal medium results in the change in its mass. Consequences and possible applications of this effect are discussed. It is shown that, as a consequence of the effect, spectrum of the light emitted by atoms may be profoundly modified if, instead of being in free space, atoms are enclosed in air voids of a photonic crystal. Spectral lines of atoms in the photonic crystal medium are shifted in frequency, and this shift may be comparable to the atomic transition frequencies in free space.
    Journal of Physics Conference Series 11/2013; 478(1).
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    ABSTRACT: We show that the light spectra of atoms with a superheavy nucleus may be important for our understanding of the processes in supercritical fields. The shape is obtained of a spectral line emitted by an atom with a superheavy nucleus. We study the connection of the light part of the spectrum with the parameters characterizing the nucleus decay.
    Journal of Physics Conference Series 11/2013; 478(1).
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    Renat Kh. Gainutdinov, Marat A. Khamadeev, Myakzyum Kh. Salakhov
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    ABSTRACT: Photonic crystals are periodic systems that consist of dielectrics with different refractive indices. They are designed to act on photons in contrast to semiconductor crystals whose periodicity affects the motion of electrons. Here we consider the interaction of an atomic electron with its own radiation field in the case when the atom is placed in air voids of a photonic crystal and is not in mechanical contact with the vibrational degrees of freedom of the dielectric host. A strong modification of this interaction from that in free space is shown to change the rest mass of the electron, and this has a significant effect on the shift of the atomic energy levels. This shift is investigated by using the example of atomic hydrogen in a high-index-contrast photonic crystal. The found effect may be of interest both from fundamental and practical points of view.
    Physical Review A 12/2011; · 3.04 Impact Factor
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    Renat Kh. Gainutdinov
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    ABSTRACT: The result of a recent measurement of the size of the proton [R. Pohl et al., Nature 466, 213] performed on the base of the muonic hydrogen spectroscopy turned out to be significantly different, by five standard deviations, from the results derived from the atomic hydrogen spectroscopy. This large discrepancy could come from the calculations of the Lamb shift in atomic hydrogen and muonic hydrogen. Here we show that there is a gap in the standard bound-state QED that may be the source of the discrepancy. This gap originates in the fact that within the framework of this theory the QED corrections are described in terms of the respective Green functions. The character of the time evolution of a system which should manifest itself in the general definition of bound states as stationary states of the system cannot be described in terms of the Green functions. We present a consistent way of solving the bound-state problem in QED starting from the condition of stationarity of the bound states. Formulae for the energies and the vectors of the states of one-electron (muon) atoms derived in this way indicate that the standard bound-state QED does not obey the exact description of the atomic states and, as a result, the Lamb shift obtained in its framework should be supplemented by an additional "dynamical" energy shift. It is shown that in this shift natural nonlocality of the electromagnetic interaction that in describing the S matrix and the Green functions is hidden in the renormalization procedure manifest itself explicitly.
    03/2011;
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    ABSTRACT: The problem of bound states in supercritical fields is considered. The shape of the energy distribution for the |1s> electron bound state embedded in the lower continuum is obtained within the generalized quantum dynamics formalism.
    Bulletin of the Russian Academy of Sciences Physics 01/2010; 74(7):966-968.
  • R Kh Gainutdinov, A A Mutygullina
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    ABSTRACT: We discuss the interaction of an atom subject to an intense driving laser field with its own radiation field. In contrast to the states of bare atoms, the energy difference between some dressed states with the same total angular momentum, its projection and parity may be very small. The self-interaction of a combined atom–laser system associated with nonradiative transitions between such states is effectively strong. We show that the contribution to the radiative shift of the sidebands of the Mollow spectrum, which comes from such processes, is very significant and may be much larger than the trivial Lamb shift, which is the simple redistribution of the Lamb shifts of the corresponding bare states. In the final part, we discuss the possibility that in the Mollow spectrum nonlocality of electromagnetic interaction, which in other cases is hidden in the regularization and renormalization procedures, can manifest itself explicitly.
    Physica Scripta 07/2009; 2009(T135):014021. · 1.03 Impact Factor
  • R. Kh. Gainutdinov, A. A. Mutygullina
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    ABSTRACT: Radiative corrections to the energy levels of an atom interacting with a strong laser field have been investigated. A formula for the Lamb shift of the laser-dressed states is derived, which makes it possible to calculate this shift with an error up to α2.
    Bulletin of the Russian Academy of Sciences Physics 01/2009; 73(2):281-283.
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    ABSTRACT: We investigate effects of nonlocality in time of the interaction of a muon with a nucleus, which is caused by the polarization of electronic vacuum on the Lamb shift in muonic atoms. The vacuum-polarization corrections to the energy levels of heavy muonic atoms are calculated with and without taking into account the nonlocality of the interaction. The results of the calculations show that the nonlocal corrections to vacuum-polarization contribution to the Lamb shift are comparable with the Kallen-Sabry correction that is of order alpha2(Zalpha).
    Proc SPIE 05/2008;
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    Renat K. Gainutdinov, Marat A. Khamadeev, Aigul A. Mutygullina
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    ABSTRACT: We investigate the problem of nonlocality of the effective interaction of the radiation field with a strong external field. It is shown that the use of a Lagrangian or Hamiltonian interaction density with a nonlocal form-factor for parametrizing this interaction is inconsistent. An interaction operator that allows one to take into account the natural the natural nolocality of this interaction is derived from the analysis of the relevant Feynman diagrams of quantum electrodynamics.
    Proc SPIE 05/2008;
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    ABSTRACT: The problem of supercritical bound states of superheavy atoms are investigated within the formalism of the generalized quantum dynamics (GQD)developed in [J. Phys. A: Math. Gen. 32, pp. 5657-5677, 1999]. We study the diving of one bound state into the lower continuum. It is shown that the formalism of the GQD provides a new insight into the problem of supercritical bound states diving into continuum and the structure of vacuum in the field of an superheavy nucleus.
    Proc SPIE 05/2008;
  • R. Kh. Gainutdinov, A. A. Mutygullina
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    ABSTRACT: The short-time behavior of the evolution operator has been investigated in the context of the quantum Zeno paradox. It is shown that the nonlocality during interaction in a quantum system radically changes the short-time behavior of the dynamics, and, as result, the Zeno effect may not occur in such interactions.
    Bulletin of the Russian Academy of Sciences Physics 01/2008; 72(5):680-682.
  • R. Kh. Gainutdinov, A. A. Mutygullina, M. A. Khamadeev
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    ABSTRACT: The problem of nonlocality of effective interaction of radiation field with a strong classical electromagnetic field has been investigated. The interaction operator allowing one to take into account the natural nonlocality of such a process is derived from the analysis of ordered diagrams of quantum electrodynamics.
    Bulletin of the Russian Academy of Sciences Physics 01/2008; 72(12):1661-1665.
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    Renat Kh. Gainutdinov, Aigul A. Mutygullina
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    ABSTRACT: Low energy nucleon dynamics is investigated by using the generalized dynamical equation derived in [J. Phys. A v.32, 5657 (1999)]. This equation extends quantum dynamics to describe the time evolution in the case of nonlocal-in-time interactions. We show that the use of the generalized dynamical equation, which allows one to take into account that effective actions in quantum field theory, arising after integrating out certain degrees of freedom, are generally nonlocal, provides a new way to formulate the effective theory of nuclear forces. In this way we construct the most general possible operator describing the short-range part of the NN interaction in the 1S0 channel. In particular, this operator can be incorporated into the chiral potential model. This is shown to provide an extension of the standard chiral approach. Being equivalent to the chiral potential model for some values of the constants characterizing the short-range of the NN interaction this approach allows the solutions that cannot be reproduced by any potential model. In this way we find that for certain values of the constants inconsistent with potentials models the effect of the short-range forces on the half off-shell 2N T-matrix with high off-shell momenta grows in magnitude rapidly as the kinetic energy of outgoing protons decreases at laboratory energies below 15 MeV. We show that this effect may be the origin of the existing discrepancy between the theory and experiment in describing the proton-proton bremsstrahlung.
    11/2005;
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    Renat Kh. Gainutdinov, Aigul A. Mutygullina
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    ABSTRACT: We show that from analysis of time-ordered diagrams for the two-nucleon $T$-matrix in chiral perturbation theory it follows that low energy nucleon dynamics is governed by the generalized dynamical equation, which was derived in [J.Phys.A., v.32, p.5657 (1999)], with a nonlocal-in-time interaction operator. An operator is presented that parametrizes the nucleon-nucleon interaction in the 1S0 channel at leading order of the Weinberg power counting.
    05/2004;
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    Renat Kh. Gainutdinov, Aigul A. Mutygullina
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    ABSTRACT: We discuss the problem of consistency of quantum mechanics as applied to low energy nucleon dynamics with the symmetries of QCD. It is shown that the dynamics consistent with these symmetries is not governed by the Schrodinger equation. We present a new way to formulate the effective theory of nuclear forces as an inevitable consequence of the basic principles of quantum mechanics and the symmetries of strong interactions. We show that being formulated in this way the effective theory of nuclear forces can be put on the same firm theoretical grounds as the quantum mechanics of atomic phenomena. In this case the effective theory allows one to describe with a given accuracy not only two-nucleon scattering, but also the evolution of nucleon systems, and places the constraints on the off-shell behavior of the two-nucleon interaction. In this way we predict the off-shell behavior of the S wave two-nucleon T-matrix at very low energies when the pionless theory is applicable. Further extensions and applications of this approach are discussed.
    05/2003;
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    Renat Kh. Gainutdinov, Aigul A. Mutygullina, Werner Scheid
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    ABSTRACT: We investigate effects of nonlocality in time of the interaction of an atom with its surroundings on the spectral line broadening. We show that these effects can be very significant: in some cases nonlocality in time of this interaction can give rise to a spectral line splitting.
    Physics Letters A 12/2002; · 1.63 Impact Factor
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    Renat Kh. Gainutdinov, Aigul A. Mutygullina
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    ABSTRACT: Problems connected with non-Hamiltonian nature of low energy nucleon dynamics in the effective field theory (EFT) of nuclear forces is investigated by using the formalism of the generalized quantum dynamics (GQD) developed in [J. Phys. A, 5657 (1999)]. This formalism is based on a generalized dynamical equation derived as the most general equation of motion consistent with the current concepts of quantum physics. By using the example of the EFT of nuclear forces, we demonstrate that a theory, which, being formulated in terms of Hamiltonian formalism, leads to ultraviolet divergences, may manifest itself as a perfectly consistent theory free from infinities, if it is considered from the more general point of view provided by the GQD. We show that non-Hamiltonian character of nucleon dynamics gives rise to some new problems connected with discontinuity of the evolution operator. This discontinuity results in the fact that the Hilbert space of nucleon states cannot be realized in the standard way. A space which allows one to realize, in a natural way, the Hilbert space of nucleon states is investigated. The structure of this space reflects the existence of the high energy degrees of freedom which affect on low energy nucleon dynamics.
    10/2002;