Journal articles: 'Relativistic shift'

1

Krizan, John E. "Relativistic Doppler-shift effects." Physical Review D 31, no. 12 (June 15, 1985): 3140–43. http://dx.doi.org/10.1103/physrevd.31.3140.

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2

Hinterbichler, Kurt, and Austin Joyce. "Goldstones with extended shift symmetries." International Journal of Modern Physics D 23, no. 13 (November 2014): 1443001. http://dx.doi.org/10.1142/s0218271814430019.

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We consider scalar field theories invariant under extended shift symmetries consisting of higher order polynomials in the spacetime coordinates. These generalize ordinary shift symmetries and the linear shift symmetries of the galileons. We find Wess–Zumino Lagrangians which transform up to total derivatives under these symmetries, and which possess fewer derivatives per field and lower order equations of motion than the strictly invariant terms. In the nonrelativistic context, where the extended shifts are purely spatial, these theories may describe multi-critical Goldstone bosons. In the relativistic case, where the shifts involve the full spacetime coordinate, these theories generally propagate extra ghostly degrees of freedom.

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3

Naqvi, S. A., G. S. Kerslick, J. A. Nation, and L. Schächter. "Resonance shift in relativistic traveling wave amplifiers." Physical Review E 53, no. 4 (April 1, 1996): 4229–31. http://dx.doi.org/10.1103/physreve.53.4229.

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4

Arshansky, R., and L. P. Horwitz. "Relativistic potential scattering and phase shift analysis." Journal of Mathematical Physics 30, no. 1 (January 1989): 213–18. http://dx.doi.org/10.1063/1.528572.

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5

Savchenko, O. Ya. "Relativistic shift of the linear Zeeman effect." Optics and Spectroscopy 101, no. 2 (August 2006): 179–82. http://dx.doi.org/10.1134/s0030400x06080029.

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6

Hara, Nodoka, Andrea Di Di Cicco, Georghii Tchoudinov, Keisuke Hatada, and Calogero Renzo Natoli. "Relativistic Corrections to Phase Shift Calculation in the GNXAS Package." Symmetry 13, no. 6 (June 6, 2021): 1021. http://dx.doi.org/10.3390/sym13061021.

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Modern XAFS (X-ray Absorption Fine Structure) data-analysis is based on accurate multiple-scattering (MS) calculations of the x-ray absorption cross-section. In this paper, we present the inclusion and test of relativistic corrections for the multiple-scattering calculations within the GnXAS suite of programs, which is relevant to the treatment of the XAFS signals when atoms with high atomic number are contained into the system. We present a suitable strategy for introducing relativistic corrections without altering the basic structure of the programs. In particular, this is realized by modifying only the Phagen program calculating the atomic absorption cross sections and scattering t-matrices for the selected cluster. The modification incorporates a pseudo-Schrödinger Equation (SE) replacing the Dirac relativistic form. The phase-shift calculations have been put to a test in two known molecular and crystalline cases: molecular bromine Br2 and crystalline Pb. Calculations in an extended energy range have been shown to be very close to the non-relativistic case for Br2 (Br K-edge) while corrections have been found to exceed 25% for amplitude and phases of the XAFS multiple-scattering signals (Pb L3-edge). Benefits in the structural refinement using relativistic corrections are discussed for crystalline Pb at room temperature.

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7

Vícha, Jan, Jan Novotný, Michal Straka, Michal Repisky, Kenneth Ruud, Stanislav Komorovsky, and Radek Marek. "Structure, solvent, and relativistic effects on the NMR chemical shifts in square-planar transition-metal complexes: assessment of DFT approaches." Physical Chemistry Chemical Physics 17, no. 38 (2015): 24944–55. http://dx.doi.org/10.1039/c5cp04214c.

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8

Boudet, Roger. "On the relativistic calculation of the Lamb shift." Banach Center Publications 37, no. 1 (1996): 337–42. http://dx.doi.org/10.4064/-37-1-337-342.

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9

Jönsson, P., and C. Froese Fischer. "SMS92: a program for relativistic isotope shift calculations." Computer Physics Communications 100, no. 1-2 (February 1997): 81–92. http://dx.doi.org/10.1016/s0010-4655(96)00118-x.

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10

Sazhin, M. V., I. Yu Vlasov, O. S. Sazhina, and V. G. Turyshev. "RadioAstron: relativistic frequency change and time-scale shift." Astronomy Reports 54, no. 11 (November 2010): 959–73. http://dx.doi.org/10.1134/s1063772910110016.

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11

Kaivola, Matti, Ove Poulsen, Erling Riis, and Siu Au Lee. "Measurement of the Relativistic Doppler Shift in Neon." Physical Review Letters 54, no. 4 (January 28, 1985): 255–58. http://dx.doi.org/10.1103/physrevlett.54.255.

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12

Passante, R., and E. A. Power. "The Lamb shift in non-relativistic quantum electrodynamics." Physics Letters A 122, no. 1 (May 1987): 14–16. http://dx.doi.org/10.1016/0375-9601(87)90766-3.

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13

Arshansky, R. I., and L. P. Horwitz. "Covariant phase shift analysis for relativistic potential scattering." Physics Letters A 131, no. 4-5 (August 1988): 222–26. http://dx.doi.org/10.1016/0375-9601(88)90016-3.

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14

Nazé, C., E. Gaidamauskas, G. Gaigalas, M. Godefroid, and P. Jönsson. "ris3: A program for relativistic isotope shift calculations." Computer Physics Communications 184, no. 9 (September 2013): 2187–96. http://dx.doi.org/10.1016/j.cpc.2013.02.015.

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15

Davidson, Ronald C., Tser-Yuan Yang, and Richard E. Aamodt. "Weakly relativistic nonlinear orbit dynamics for intense ordinary-mode propagation near electron cyclotron resonance." Journal of Plasma Physics 41, no. 3 (June 1989): 405–26. http://dx.doi.org/10.1017/s0022377800013970.

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The nonlinear orbit equations are investigated analytically and numerically for a constant-amplitude electromagnetic wave (ωs, ks) with ordinary-mode polarization propagating perpendicular to a uniform magnetic field B0 êz. Relativisitic electron dynamics are essential in determining the maximum orbit excursion when the incident wave frequency ωs is near the nth harmonic of the electron cyclotron frequency Ωc. Coupled nonlinear equations are obtained for the slow evolution of the amplitude A(т) and phase ø(t) of the perpendicular orbit when ωs ≈ nΩc. The dynamical equations are reduced to quadrature and simplified analytically. At exact resonance (ωs = nΩc), if relativistic effects are (incorrectly) neglected, the maximum orbit excursion Amax approaches the unacceptably large value determined from the first (non-zero) solution to Jn(ns ΩsAmax) = 0, which totally invalidates the non-relativistic approximation. (Here ns Ωs = cks/Ωc.) As a contrasting illustrative example, for n = 1, ωs = Ωc and moderate pump strength, weak relativistic effects limit the maximum orbit excursion to the approximate value , where єs = ns ωs (Vz/c) Vq/c ≪ 1, and Vq is the axial quiver velocity in the applied oscillatory field. Physically, relativistic effects produce a nonlinear frequency shift that dynamically ‘detunes’ the particle motion from exact cyclotron resonance, thereby limiting amplitude growth.

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16

ZHANG, ZI-ZHEN, HAI LIN, and YIN-MEI MI. "SINGLE-PARTICLE RESONANCES IN Ca ISOTOPES." Modern Physics Letters A 25, no. 09 (March 21, 2010): 727–35. http://dx.doi.org/10.1142/s0217732310032019.

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Single-particle resonant states in Ca isotopes are studied systematically by real stabilization method (RSM) in coordinate space within the framework of the self-consistent relativistic mean field (RMF) theory. Phase shifts are obtained by scattering phase shift method. The resonant parameters (the energies, widths) are extracted by fitting energy and phase shift. Wave functions of resonances are obtained by matching conditions of bound and scattering states. Taking 60 Ca as an example, results are compared with corresponding results obtained from the analytic continuation in the coupling constant approach and the scattering phase shift method. Satisfied agreements are found. The rules of resonant parameters changing in Ca isotopes are also analyzed.

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17

McGowan, Roger W., David M. Giltner, Scott J. Sternberg, and Siu Au Lee. "New measurement of the relativistic Doppler shift in neon." Physical Review Letters 70, no. 3 (January 18, 1993): 251–54. http://dx.doi.org/10.1103/physrevlett.70.251.

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18

Guo Fu-Ming, Chen Ji-Gen, Yang Yu-Jun, and Zeng Si-Liang. "Mass shift effect on relativistic high-order harmonic generation." Acta Physica Sinica 61, no. 17 (2012): 173202. http://dx.doi.org/10.7498/aps.61.173202.

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19

Alhaidari, A. D. "Scattering phase shift for relativistic exponential-type separable potentials." Journal of Physics A: Mathematical and General 37, no. 37 (September 2, 2004): 8911. http://dx.doi.org/10.1088/0305-4470/37/37/c01.

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20

Rojas, R., and G. Fuster. "Graphical Representation of the Doppler Shift: Classical and Relativistic." Physics Teacher 45, no. 5 (May 2007): 306–9. http://dx.doi.org/10.1119/1.2731281.

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21

Alhaidari, A. D. "Scattering phase shift for relativistic exponential-type separable potentials." Journal of Physics A: Mathematical and General 34, no. 50 (December 19, 2001): 11273–86. http://dx.doi.org/10.1088/0305-4470/34/50/309.

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22

Ekman, J., P. Jönsson, M. Godefroid, C. Nazé, G. Gaigalas, and J. Bieroń. "ris 4: A program for relativistic isotope shift calculations." Computer Physics Communications 235 (February 2019): 433–46. http://dx.doi.org/10.1016/j.cpc.2018.08.017.

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23

Alkan, Fahri, and C. Dybowski. "Chemical-shift tensors of heavy nuclei in network solids: a DFT/ZORA investigation of 207Pb chemical-shift tensors using the bond-valence method." Physical Chemistry Chemical Physics 17, no. 38 (2015): 25014–26. http://dx.doi.org/10.1039/c5cp03348a.

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Accurate computation of ²⁰⁷Pb magnetic shielding principal components is within the reach of quantum chemistry methods by employing relativistic ZORA/DFT and cluster models adapted from the bond valence model.

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24

Mukhopadhyay, J., G. Pakira, and A. Roy Chowdhury. "Nonlinear Wave Number Shift and Modulational Instability for Large Amplitude Waves in a Relativistic Magnetised Plasma." Australian Journal of Physics 45, no. 6 (1992): 761. http://dx.doi.org/10.1071/ph920761.

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Properties of large amplitude waves in a relativistic magnetised plasma are studied using the method of reductive perturbation. The plasma under consideration consists of warm adiabatic ions and isothermal warm electrons, under the influence of a magnetic field. A onsideration of large amplitude waves demands study of the relativistic situation. In the present case we consider both the electrons and ions to be relativistic. A KdV equation is derived from which a nonlinear Schrodinger equation is deduced by further scaling. Lastly we derive an expression for nonlinear wave number shift, critical angle of propagation and the condition for modulational instability. Our analysis is applicable to both laboratory and space plasmas.

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25

Mota, Herondy. "Topological quantum scattering under the influence of a nontrivial boundary condition." Modern Physics Letters A 31, no. 11 (April 10, 2016): 1650074. http://dx.doi.org/10.1142/s0217732316500747.

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We consider the quantum scattering problem of a relativistic particle in (2 + 1)-dimensional cosmic string spacetime under the influence of a nontrivial boundary condition imposed on the solution of the Klein–Gordon equation. The solution is then shifted as consequence of the nontrivial boundary condition and the role of the phase shift is to produce an Aharonov–Bohm-like effect. We examine the connection between this phase shift and the electromagnetic and gravitational analogous of the Aharonov–Bohm effect and compare the present results with previous ones obtained in the literature, also considering non-relativistic cases.

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26

Lindegren, Lennart, Dainis Dravins, and Søren Madsen. "Exactly What Is Stellar ‘Radial Velocity’?" International Astronomical Union Colloquium 170 (1999): 73–76. http://dx.doi.org/10.1017/s0252921100048387.

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AbstractAccuracy levels of metres per second require the concept of ‘radial velocity’ to be examined, in particular with respect to relativistic velocity effects and spectroscopic measurements made inside gravitational fields. Already in a classical (non-relativistic) framework the line-of-sight velocity component is an ambiguous concept. In the relativistic context, the observed wavelength shifts depend e.g. on the transverse velocity of the star and the gravitational potential at the source. We argue that the observational quantity resulting from high-precision radial-velocity measurements is not a physical velocity but a spectroscopic radial-velocity measure, which only for historic and practical reasons is expressed in velocity units. This radial-velocity measure may be defined as cz, where c is the speed of light and z is the observed relative wavelength shift reduced to the solar system barycentre. To first order, cz equals the line-of-sight velocity, but its precise interpretation is model dependent.

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27

Yu, Geng-Hua, Peng-Yi Zhao, Bing-Ming Xu, Xiao-Ling Zhu, and Wei Yang. "Isotope shift calculations of Li-like neutron-rich and neutron-deficient Mg isotopes." Modern Physics Letters B 31, no. 02 (January 20, 2017): 1750003. http://dx.doi.org/10.1142/s0217984917500038.

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The isotope shifts of the [Formula: see text]–[Formula: see text] transitions for the Li-like neutron-rich and neutron-deficient [Formula: see text] isotopes are calculated using the multi-configuration Dirac–Hartree–Fock (MCDHF) method and the relativistic configuration interaction approach. The results provided herein can be employed for the consistency check with the nuclear root-mean-square (rms) nuclear charge radii of the short-lived magnesium isotopes from the experimental isotope shifts using the corresponding transitions. The methods used here could also be applied to other few-electron Li-like systems and the analogous isotope shift results could be obtained.

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28

Parkhomchuk, V. V. "Measurements of the Lamb shift in a relativistic hydrogen atom." Hyperfine Interactions 44, no. 1-4 (March 1989): 315–18. http://dx.doi.org/10.1007/bf02398680.

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29

Petit, G., and P. Wolf. "Computation of the relativistic rate shift of a frequency standard." IEEE Transactions on Instrumentation and Measurement 46, no. 2 (April 1997): 201–4. http://dx.doi.org/10.1109/19.571812.

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30

Blanford, G., K. Gollwitzer, M. Mandelkern, J. Schultz, G. Takei, G. Zioulas, D. C. Christian, and C. T. Munger. "Measuring the antihydrogen Lamb shift with a relativistic antihydrogen beam." Physical Review D 57, no. 11 (June 1, 1998): 6649–55. http://dx.doi.org/10.1103/physrevd.57.6649.

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31

Mendez, B., and F. Dominguez-Adame. "Level shift under the influence of relativistic point interaction potentials." Journal of Physics A: Mathematical and General 25, no. 7 (April 7, 1992): 2065–70. http://dx.doi.org/10.1088/0305-4470/25/7/041.

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32

Demissie, Taye B., Michal Repisky, Stanislav Komorovsky, Johan Isaksson, John S. Svendsen, Helena Dodziuk, and Kenneth Ruud. "Four-component relativistic chemical shift calculations of halogenated organic compounds." Journal of Physical Organic Chemistry 26, no. 8 (June 23, 2013): 679–87. http://dx.doi.org/10.1002/poc.3157.

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33

Hainzl, Christian, and Robert Seiringer. "Mass renormalization and energy level shift in non-relativistic QED." Advances in Theoretical and Mathematical Physics 6, no. 5 (2002): 847–71. http://dx.doi.org/10.4310/atmp.2002.v6.n5.a3.

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34

Thim, H. W. "Absence of the relativistic transverse doppler shift at microwave frequencies." IEEE Transactions on Instrumentation and Measurement 52, no. 5 (October 2003): 1660–64. http://dx.doi.org/10.1109/tim.2003.817916.

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35

Ivanov, I. A. "Relativistic calculation of the electron momentum shift in tunneling ionization." Journal of Physics: Conference Series 635, no. 9 (September 7, 2015): 092007. http://dx.doi.org/10.1088/1742-6596/635/9/092007.

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36

Lantto, Perttu, and Juha Vaara. "Xe129 chemical shift by the perturbational relativistic method: Xenon fluorides." Journal of Chemical Physics 127, no. 8 (August 28, 2007): 084312. http://dx.doi.org/10.1063/1.2759205.

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37

Rothenstein, Bernhard. "“Graphical Representation of the Doppler Shift: Classical and Relativistic” Revisited." Physics Teacher 45, no. L2 (August 2007): L1. http://dx.doi.org/10.1119/1.2768160.

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38

Zi-Zhen, Zhang. "Relativistic description of single-particle resonances via phase shift analysis." Chinese Physics C 33, no. 3 (March 2009): 187–90. http://dx.doi.org/10.1088/1674-1137/33/3/005.

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39

Casado, J. A. "Average rapidity shift of leading baryons at ultra-relativistic energies." Physics Letters B 309, no. 3-4 (July 1993): 431–35. http://dx.doi.org/10.1016/0370-2693(93)90958-k.

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40

SEKE, J. "CALCULATION OF DISCRETE-SPECTRUM CONTRIBUTIONS TO RELATIVISTIC LAMB-SHIFT OF THE 1S HYDROGENIC STATE." Modern Physics Letters B 10, no. 03n05 (February 28, 1996): 167–72. http://dx.doi.org/10.1142/s0217984996000201.

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By using a general formula for exact relativistic transition matrix elements, derived in our previous paper, unrenormalized (finite) and renormalized level-shift contributions to the Lamb-shift of the 1s state, stemming from individual discrete states as well as from the whole discrete spectrum, are calculated.

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41

Sarr, Serigne, Julien Pilmé, Gilles Montavon, Jean-Yves Le Questel, and Nicolas Galland. "Astatine Facing Janus: Halogen Bonding vs. Charge-Shift Bonding." Molecules 26, no. 15 (July 28, 2021): 4568. http://dx.doi.org/10.3390/molecules26154568.

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The nature of halogen-bond interactions was scrutinized from the perspective of astatine, potentially the strongest halogen-bond donor atom. In addition to its remarkable electronic properties (e.g., its higher aromaticity compared to benzene), C6At6 can be involved as a halogen-bond donor and acceptor. Two-component relativistic calculations and quantum chemical topology analyses were performed on C6At6 and its complexes as well as on their iodinated analogues for comparative purposes. The relativistic spin–orbit interaction was used as a tool to disclose the bonding patterns and the mechanisms that contribute to halogen-bond interactions. Despite the stronger polarizability of astatine, halogen bonds formed by C6At6 can be comparable or weaker than those of C6I6. This unexpected finding comes from the charge-shift bonding character of the C–At bonds. Because charge-shift bonding is connected to the Pauli repulsion between the bonding σ electrons and the σ lone-pair of astatine, it weakens the astatine electrophilicity at its σ-hole (reducing the charge transfer contribution to halogen bonding). These two antinomic characters, charge-shift bonding and halogen bonding, can result in weaker At-mediated interactions than their iodinated counterparts.

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42

Тупицын, И. И., С. В. Безбородов, А. В. Малышев, Д. В. Миронова, and В. М. Шабаев. "Расчеты релятивистских, корреляционных, ядерных и квантово-электродинамических поправок к энергии и потенциалу ионизации основного состояния гелиеподобных ионов." Журнал технической физики 128, no. 1 (2020): 24. http://dx.doi.org/10.21883/os.2020.01.48834.260-19.

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In this work, nonrelativistic and relativistic variational calculations of the energies and ionization potentials of the ground state of helium-like ions for the nuclear charges in the range Z = 2 − 20 were performed.the leading corrections to the total energy were calculated including the contribution of electronic correlations, relativistic and quantum-electrodynamic (QED) corrections, and the contributions of the finite size ofnucleus (field shift) and the finite mass of the nucleus (recoil effect). Relativistic сalculations of the wave functions were performed using the Dirac-Coulomb-Breit (DCB) Hamiltonian.

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43

Faustov, R. N., A. A. Krutov, A. P. Martynenko, F. A. Martynenko, and O. S. Sukhorukova. "1S-2S energy shift in muonic hydrogen." EPJ Web of Conferences 204 (2019): 05005. http://dx.doi.org/10.1051/epjconf/201920405005.

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We calculate corrections of orders α4, α5, α6 to the (1S – 2S) fine structure interval in muonic hydrogen (μp), muonic tritium (μt) and muonic helium ion $$((\mu _2^3He) + )$$. They are determined by the effects of vacuum polarization, nuclear structure and recoil and relativistic corrections. The nuclear structure effects are taken into account in terms of the charge radii of the nuclei in one-photon interaction and in terms of electromagnetic form-factors in the case of two-photon interaction. The obtained results for the (1S – 2S) splitting can be used for a comparison with future experimental data.

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44

SOROKA, V. A., D. P. SOROKIN, V. I. TKACH, and D. V. VOLKOV. "A GENERALIZED TWISTOR DYNAMICS OF RELATIVISTIC PARTICLES AND STRINGS." International Journal of Modern Physics A 07, no. 24 (September 30, 1992): 5977–93. http://dx.doi.org/10.1142/s0217751x92002702.

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A generalization of relativistic particle and string dynamics based on a notion of twistor shift and containing a fundamental length constant is considered, which results in a modification of particle (or string) interactions with background fields.

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45

CAPOZZIELLO, SALVATORE, MARIAFELICIA DE LAURENTIS, and DANIELE VERNIERI. "NEUTRINO OSCILLATION PHASE DYNAMICALLY INDUCED BY f(R)-GRAVITY." Modern Physics Letters A 25, no. 14 (May 10, 2010): 1163–68. http://dx.doi.org/10.1142/s0217732310033025.

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The gravitational phase shift of neutrino oscillation can be discussed in the framework of f(R)-gravity. We show that the shift of quantum mechanical phase can depend on the given f(R)-theory that we choose. This fact is general and could constitute a fundamental test to discriminate among the various alternative relativistic theories of gravity. Estimations of ratio between the gravitational phase shift and the standard phase are carried out for the electronic Solar neutrinos.

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46

ALLAH, N. N. ABD, S. A. H. ABOU-STEIT, M. MOHERY, and S. S. ABDEL-AZIZ. "CHARACTERISTICS OF RELATIVISTIC CHARGED PARTICLES PRODUCED IN 24Mg–EMULSION INTERACTIONS AT 4.5A GeV/C." International Journal of Modern Physics E 10, no. 01 (February 2001): 55–68. http://dx.doi.org/10.1142/s021830130100040x.

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The interactions of 4.5A GeV/c 24 Mg nuclei with emulsion have been studied. The multiplicity distributions of all the produced target protons from 24 Mg –emulsion interactions has been found to obey the KNO scaling behavior. The angular characteristics of the relativistic charged particles have been investigated and their dependence on the multiplicity of the relativistic shower particles has been studied. The results reveal that increasing the multiplicity of the shower particles, leads to a shift of the peak of the pseudorapidity distributions towards the lower values of the pseudorapidity and also to a decrease of the average pseudorapidity. The study of the rapidity dispersion of the relativistic charged particles shows that the clusterization effect is significant among the final state of the relativistic particles produced in the heavy-ion interactions. Azimuthal correlations in the angles of the relativistic charged particles have been investigated.

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47

JENTSCHURA, ULRICH D. "TECHNIQUES IN ANALYTIC LAMB SHIFT CALCULATIONS." Modern Physics Letters A 20, no. 30 (September 28, 2005): 2261–76. http://dx.doi.org/10.1142/s0217732305018256.

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Quantum electrodynamics has been the first theory to emerge from the ideas of regularization and renormalization, and the coupling of the fermions to the virtual excitations of the electromagnetic field. Today, bound-state quantum electrodynamics provides us with accurate theoretical predictions for the transition energies relevant to simple atomic systems, and steady theoretical progress relies on advances in calculational techniques, as well as numerical algorithms. In this brief review, we discuss one particular aspect connected with the recent progress: the evaluation of relativistic corrections to the one-loop bound-state self-energy in a hydrogenlike ion of low nuclear charge number, for excited non-S states, up to the order of α(Zα)6 in units of the electron mass. A few details of calculations formerly reported in the literature are discussed, and results for 6F, 7F, 6G and 7G states are given.

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48

Batrakov, Yuri F., Andrey G. Krivitsky, and Elena V. Puchkova. "Relativistic component of chemical shift of Uranium X-ray emission lines." Spectrochimica Acta Part B: Atomic Spectroscopy 59, no. 3 (March 2004): 345–51. http://dx.doi.org/10.1016/j.sab.2004.01.002.

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49

Barut, A. O., J. Kraus, Y. Salamin, and N. Ünal. "Relativistic theory of the Lamb shift in self-field quantum electrodynamics." Physical Review A 45, no. 11 (June 1, 1992): 7740–45. http://dx.doi.org/10.1103/physreva.45.7740.

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50

Seke, J. "Gauge independence of the non-relativistic Lamb shift including retardation effects." Il Nuovo Cimento D 15, no. 4 (April 1993): 690–94. http://dx.doi.org/10.1007/bf02482403.

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Journal articles on the topic 'Relativistic shift'

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