Publications (15)0 Total impact
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Article: Electron rest mass and energy levels of atoms in photonic crystal medium
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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.12/2011; -
Article: Proton radius, bound state QED and the nonlocality of the electromagnetic interaction
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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; -
Article: Generalized dynamical equation and low energy nucleon dynamics
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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; -
Article: Nuclear Forces from Chiral Dynamics
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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; -
Article: Quantum mechanics and low energy nucleon dynamics
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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; -
Article: Non-Hamiltonian Nature of Low Energy Nucleon Dynamics in an Effective Field Theory
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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; -
Article: Nucleon dynamics in effective field theory of nuclear forces
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ABSTRACT: 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). This formalism is based on a generalized dynamical equation derived as the most general equation of motion consistent with the current concepts of quantum theory and allows one to extend quantum dynamics to the case where the fundamental interaction in a quantum system is nonlocal in time. The Schr{\"o}dinger equation follows from this equation in the case where the interaction in a system is instantaneous. We show that the effective theory of nuclear forces gives rise to low energy nucleon dynamics which is governed by the generalized dynamical equation with a nonlocal-in-time interaction operator. This operator is shown to provide a natural parametrization of the interaction of nucleons and can be derived order by order by using methods of subtractive EFT's. We show that the use of the GQD for describing nucleon dynamics allows one to formulate the EFT of nuclear forces as a completely consistent theory with a well-defined equation of motion which does not require renormalization.04/2002; -
Article: Nonlocality of nucleon interaction and an anomalous off shell behavior of the two-nucleon amplitudes
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ABSTRACT: The problem of the ultraviolet divergences that arise in describing the nucleon dynamics at low energies is considered. By using the example of an exactly solvable model it is shown that after renormalization the interaction generating nucleon dynamics is nonlocal in time. Effects of such nonlocality on low-energy nucleon dynamics are investigated. It is shown that nonlocality in time of nucleon-nucleon interactions gives rise to an anomalous off-shell behavior of the two-nucleon amplitudes that have significant effects on the dynamics of many-nucleon systems. Comment: 9 pages, 4 figures, ReVTeX412/2001; -
Article: Quark-gluon retardation effects and an anomalous off-shell behavior of the two-nucleon amplitudes
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ABSTRACT: We show that nonlocality in time of the nucleon-nucleon interaction caused by quark-gluon retardation effects gives rise to an anomalous off-shell behavior of the two-nucleon amplitudes. This anomalous off-shell behavior can have significant effects on three- and many-nucleon results. © 2001 American Institute of Physics.AIP Conference Proceedings. 12/2001; 603(1):295-298. -
Article: Nonlocality of the NN interaction in an effective field theory
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ABSTRACT: We investigate low energy nucleon dynamics in the effective field theory (EFT) of nuclear forces. In leading order of the two-nucleon EFT we show that nucleon dynamics is governed by the generalized dynamical equation with a nonlocal-in-time interaction operator. This equation is shown to open new possibilities for applying the EFT approach to the description of low energy nucleon dynamics. Comment: 13 pages, 4 figures, REVTeX410/2001; -
Article: Renormalization of equations governing nucleon dynamics and nonlocality in time of the NN interaction
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ABSTRACT: We discuss the problem of renormalization of dynamical equations which arises in an effective field theory description of nuclear forces. By using a toy model of the separable NN potential leading to logarithmic singularities in the Born series, we show that renormalization gives rise to nucleon dynamics which is governed by a generalized dynamical equation with a nonlocal-in-time interaction operator. We show that this dynamical equation can open new possibilities for applying the EFT approach to the description of low-energy nucleon dynamics.09/2001; -
Article: Ultraviolet divergences, renormalization and nonlocality of interactions in quantum field theory
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ABSTRACT: We discuss the dynamical situation which arises in a local quantum field theory after renormalization. By using the example of the three-dimensional theory of a neutral scalar field interacting through the quartic coupling, we show that after renormalization the dynamics of a theory is governed by a generalized dynamical equation with a nonlocal interaction operator. It is shown that the generalized dynamical equation allows one to formulate this theory in an ultraviolet-finite way.08/2001; -
Article: Renormalization of equations governing nucleon dynamics and nonlocality of the NN interaction
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ABSTRACT: We discuss the problem of renormalization of dynamical equations which arises in an effective field theory description of nuclear forces. By using a toy model of the separable NN potential leading to logarithmic singularities in the Born series, we show that renormalization gives rise to nucleon dynamics which is governed by a generalized dynamical equation with a nonlocal-in-time interaction operator.07/2001; -
Article: Retardation effects from quark confinement on low-energy nucleon dynamics
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ABSTRACT: Retardation effects from quark confinement on low-energy nucleon dynamics are investigated within the generalized quantum dynamics (GQD). It is shown that the GQD provides an extension of Hamiltonian dynamics which can describe the evolution of systems of hadrons whose interaction is nonlocal in time due to quark-gluon retardation effects. This is illustrated by the example of the dynamics of nucleons with internal structure described by a constitute quark model. It is shown that quark-gluon retardation effects result in an anomalous off-shell behavior of the two-nucleon amplitudes, and in a lack of continuity of the evolution operator describing nucleon dynamics; for this reason low-energy nucleon dynamics is not governed by the Schr{\"o}dinger equation. This is shown to have substantial effects on the dynamics of many nucleon systems. It is also shown that the GQD allows one to take into account retardation effects from quark confinement in describing the short-range part of the $NN$ interaction. PACS number(s): 24.85.+p, 13.75.Cs, 21.30.-x Comment: 34 pages, LaTeX, 4 Postscript figures05/2001; -
Article: Effects of nonlocality in time of interactions of an atom with its surroundings on the broadening of spectral lines of atoms
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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.
Top co-authors
Institutions
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2001
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Kazan State Medical University
Kazan’, Respublika Tatarstan, Russia
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