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1

Law, Bruce. "Electron Born Self-Energy Model for Dark Energy." Physical Sciences Forum 2, no. 1 (2021): 9. http://dx.doi.org/10.3390/ecu2021-09300.

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Dark Energy, a form of repulsive gravity, is causing an accelerated expansion of the Universe. Recent astrophysical measurements have confirmed this accelerated expansion where the ΛCDM model provides a quantitative description of this expansion rate. As is well known there are a number of free parameters of unknown origin in the ΛCDM model. In particular, the cosmological constant Λ (or Dark Energy (DE)) forms one of these free parameters. In this contribution we describe a recent model that attributes DE to the Born self-energy contained within the electric field which surrounds a finite-siz
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2

Weitsman, J., and P. L. Hagelstein. "Self-energy in many-electron atoms." Journal of Physics B: Atomic and Molecular Physics 19, no. 3 (1986): L59—L64. http://dx.doi.org/10.1088/0022-3700/19/3/001.

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3

Král, K., and Z. Khás. "Electron self-energy in quantum dots." Physical Review B 57, no. 4 (1998): R2061—R2064. http://dx.doi.org/10.1103/physrevb.57.r2061.

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4

Santoro, Giuseppe E., and Gabriele F. Giuliani. "Electron self-energy in two dimensions." Physical Review B 39, no. 17 (1989): 12818–27. http://dx.doi.org/10.1103/physrevb.39.12818.

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5

Hawton, Margaret. "Dispersion self-energy of the electron." Physical Review A 43, no. 9 (1991): 4588–93. http://dx.doi.org/10.1103/physreva.43.4588.

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6

F�l�p, L. "Cherenkov radiation: Electron self-energy approach." International Journal of Theoretical Physics 32, no. 11 (1993): 2041–45. http://dx.doi.org/10.1007/bf00675017.

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7

Nam, Do, and D. B. Tran Thoai. "Self-energy of a tunneling electron." Physica B: Condensed Matter 176, no. 1-2 (1992): 61–69. http://dx.doi.org/10.1016/0921-4526(92)90597-l.

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8

Lindgren, Ingvar, Hans Persson, Sten Salomonson, and Per Sunnergren. "Analysis of the electron self-energy for tightly bound electrons." Physical Review A 58, no. 2 (1998): 1001–15. http://dx.doi.org/10.1103/physreva.58.1001.

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9

Labzowsky, L. N., I. A. Goidenko, and A. V. Nefiodov. "Electron self-energy calculations for tightly bound electrons in atoms." Journal of Physics B: Atomic, Molecular and Optical Physics 31, no. 11 (1998): L477—L482. http://dx.doi.org/10.1088/0953-4075/31/11/001.

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10

Vuorinen, J., K. Pussi, R. D. Diehl, and M. Lindroos. "Correlation of electron self-energy with geometric structure in low-energy electron diffraction." Journal of Physics: Condensed Matter 24, no. 1 (2011): 015003. http://dx.doi.org/10.1088/0953-8984/24/1/015003.

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11

Petrillo, C., and F. Sacchetti. "Electron-gas self-energy at metallic density." Physical Review B 38, no. 6 (1988): 3834–40. http://dx.doi.org/10.1103/physrevb.38.3834.

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12

Blinder, S. M. "Structure and self-energy of the electron." International Journal of Quantum Chemistry 90, no. 1 (2002): 144–47. http://dx.doi.org/10.1002/qua.1806.

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13

Abbasabadi, Alireza, and Wayne W. Repko. "A note on the electron self‐energy." Journal of Mathematical Physics 28, no. 12 (1987): 2990–93. http://dx.doi.org/10.1063/1.527705.

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14

Pavlyukh, Y., and J. Berakdar. "Electron repulsion integrals for self-energy calculations." Computer Physics Communications 184, no. 2 (2013): 387–95. http://dx.doi.org/10.1016/j.cpc.2012.09.027.

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15

Choi, Han-Yong, and Tae-Hyoung Gimm. "Self-Energy Analysis of Infrared Conductivity of Normal State MgB2." International Journal of Modern Physics B 17, no. 18n20 (2003): 3534–39. http://dx.doi.org/10.1142/s0217979203021356.

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The self-energy analysis of the frequency-dependent infrared conductivity σ(ω) of MgB 2 in normal state is presented. Experimentally obtained σ(ω) is inverted to yield the self-energy of electrons. From the extracted self-energy, other physical properties such as the effective interaction between electrons can also be computed. We suggest from the self-energy analysis that the small electron-phonon coupling constant of MgB 2 obtained previously can be attributed to an underestimate of the plasma frequency.
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16

Khokonov, M. Kh, and J. U. Andersen. "Equivalence Between Self-energy and Self-mass in Classical Electron Model." Foundations of Physics 49, no. 7 (2019): 750–82. http://dx.doi.org/10.1007/s10701-019-00279-7.

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17

Toimela, Tuomo. "Self-energy of the electron at high density." Nuclear Physics B 273, no. 3-4 (1986): 719–31. http://dx.doi.org/10.1016/0550-3213(86)90387-1.

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18

Holm, B., and U. von Barth. "Fully self-consistentGWself-energy of the electron gas." Physical Review B 57, no. 4 (1998): 2108–17. http://dx.doi.org/10.1103/physrevb.57.2108.

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19

Lowe, J. A., C. T. Chantler, and I. P. Grant. "Self-energy screening approximations in multi-electron atoms." Radiation Physics and Chemistry 85 (April 2013): 118–23. http://dx.doi.org/10.1016/j.radphyschem.2013.01.004.

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20

Mohr, Peter J., and Gerhard Soff. "Nuclear size correction to the electron self-energy." Physical Review Letters 70, no. 2 (1993): 158–61. http://dx.doi.org/10.1103/physrevlett.70.158.

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21

Geprägs, R., H. Riffert, H. Herold, H. Ruder, and G. Wunner. "Electron self-energy in a homogeneous magnetic field." Physical Review D 49, no. 10 (1994): 5582–89. http://dx.doi.org/10.1103/physrevd.49.5582.

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22

Goidenko, Igor, Leonti Labzowsky, Andrei Nefiodov, Günter Plunien, and Gerhard Soff. "Second-Order Electron Self-Energy in Hydrogenlike Ions." Physical Review Letters 83, no. 12 (1999): 2312–15. http://dx.doi.org/10.1103/physrevlett.83.2312.

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23

Schossmann, M., and J. P. Carbotte. "Effect of spin fluctuations on electron self-energy." Journal of Low Temperature Physics 67, no. 1-2 (1987): 65–81. http://dx.doi.org/10.1007/bf01070650.

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24

Kargarian, A., and K. Hajisharifi. "Self-magnetic field effects on laser-driven wakefield electron acceleration in axially magnetized ion channel." Laser and Particle Beams 38, no. 4 (2020): 222–28. http://dx.doi.org/10.1017/s0263034620000324.

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AbstractIn this paper, we have investigated the relativistic electron acceleration by plasma wave in an axially magnetized plasma by considering the self-magnetic field effects. We show that the optimum value of an external axial magnetic field could increase the electron energy gain more than 40% than that obtained in the absence of the magnetic field. Moreover, results demonstrate that the self-magnetic field produced by the electric current of the energetic electrons plays a significant role in the plasma wakefield acceleration of electron. In this regard, it will be shown that taking into
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25

LIU, JING, and HAI-BO ZHANG. "SELF-CONSIST CHARGING PROCESS OF POLYMER IRRADIATED BY INTERMEDIATE-ENERGY ELECTRON BEAM." Surface Review and Letters 21, no. 05 (2014): 1450062. http://dx.doi.org/10.1142/s0218625x14500620.

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This paper reports on the electron scattering, charge transport and charge trapping of a polymer subjected to intermediate-energy electron beam in a self-consist charging model. Numerical simulation of a charging balance is performed using incident intermediate-energy electron current and leakage current, and the space charging characteristics are examined. The mechanisms involve various microscopic parameters that are related to the space potential and the characteristics of the polymer as well as to the effects of the space charge, electron charge, hole charge and trapped charge itself. The
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26

Hawrylak, P., G. Eliasson, and J. J. Quinn. "Electron self-energy, effective mass and lifetime in a layered electron gas." Surface Science 196, no. 1-3 (1988): 482–86. http://dx.doi.org/10.1016/0039-6028(88)90729-7.

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27

Catto, Isabelle, and Christian Hainzl. "Self-energy of one electron in non-relativistic QED." Journal of Functional Analysis 207, no. 1 (2004): 68–110. http://dx.doi.org/10.1016/s0022-1236(03)00064-8.

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28

Persson, Hans, Ingvar Lindgren, and Sten Salomonson. "A new approach to the electron self energy calculation." Physica Scripta T46 (January 1, 1993): 125–31. http://dx.doi.org/10.1088/0031-8949/1993/t46/018.

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29

Räsänen, E., A. Odriazola, I. Makkonen, and A. Harju. "Self-consistent total-energy approximation for electron gas systems." physica status solidi (b) 252, no. 3 (2014): 496–501. http://dx.doi.org/10.1002/pssb.201451309.

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30

Indelicato, Paul, and Peter J. Mohr. "Coordinate-space approach to the bound-electron self-energy." Physical Review A 46, no. 1 (1992): 172–85. http://dx.doi.org/10.1103/physreva.46.172.

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31

Nefiodov, A. V., L. N. Labzowsky, and I. A. Goidenko. "A new Approach to the Electron Self-Energy Calculations." Physica Scripta T80, B (1999): 498. http://dx.doi.org/10.1238/physica.topical.080a00498.

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32

Frenkel, J., and R. B. Santos. "The Electron Self-Energy in a Classical Spin Model." Modern Physics Letters B 11, no. 05 (1997): 189–93. http://dx.doi.org/10.1142/s0217984997000256.

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We discuss a simple model where the electron is approximately described by a rapidly spinning disk of radius λ=ℏ/mc, such that the linear speed at its border is c. We assume that the particle's mass is uniformly distributed over the surface of the disk and its electric charge is strongly peaked around the border. It follows that the spin of the particle must be ℏ/2 and its magnetic moment should have a g factor equal to 2. We show that the electromagnetic self-energy of the particle is given by an expression which is similar to the result obtained in quantum electrodynamics.
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33

Deisz, J., and A. G. Eguiluz. "On the electron self-energy at a metal surface." Journal of Physics: Condensed Matter 5, no. 33A (1993): A95—A98. http://dx.doi.org/10.1088/0953-8984/5/33a/012.

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34

Haseeb, Mahnaz Q., and Samina S. Masood. "Two loop low temperature corrections to electron self energy." Chinese Physics C 35, no. 7 (2011): 608–11. http://dx.doi.org/10.1088/1674-1137/35/7/002.

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35

Snyderman, Neal J. "Electron radiative self-energy of highly stripped heavy atoms." Annals of Physics 211, no. 1 (1991): 43–86. http://dx.doi.org/10.1016/0003-4916(91)90192-b.

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36

Mašek, J., and J. Kudrnovský. "Electron states in random substitutional alloys: The self-energy." Journal of Physics and Chemistry of Solids 49, no. 4 (1988): 349–57. http://dx.doi.org/10.1016/0022-3697(88)90091-1.

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37

JANIŠ, V., and J. KOLORENČ. "CAUSALITY VERSUS WARD IDENTITY IN DISORDERED ELECTRON SYSTEMS." Modern Physics Letters B 18, no. 19n20 (2004): 1051–58. http://dx.doi.org/10.1142/s0217984904007591.

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We address the problem of fulfilling consistency conditions in solutions for disordered noninteracting electrons. We prove that if we assume the existence of the diffusion pole in an electron–hole symmetric theory we cannot achieve a solution with a causal self-energy that would fully fit the Ward identity. Since the self-energy must be causal, we conclude that the Ward identity is partly violated in the diffusive transport regime of disordered electrons. We explain this violation in physical terms and discuss its consequences.
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38

BARTOŠ, I., and W. SCHATTKE. "SURFACE SENSITIVITY OF VERY LOW ENERGY ELECTRONS." Surface Review and Letters 06, no. 05 (1999): 631–33. http://dx.doi.org/10.1142/s0218625x99000603.

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The surface sensitivity of electron diffraction and of electron spectroscopies is determined by the imaginary component of the electron self-energy. In crystals, the energy and direction dependence of the electron attenuation and of the escape depth should be taken into account at very low energies. Strong anisotropy of the electron attenuation has been obtained around 20 eV from peak shapes in VLEED intensity profiles from (111) transition metal surfaces. Extension of the local density approximation in the density functional formalism provides quantitative description of the electron self-ene
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39

Ng, Tai Kai, and K. S. Singwi. "Effective interactions for self-energy. II. Application to electron and electron-hole liquids." Physical Review B 34, no. 11 (1986): 7743–47. http://dx.doi.org/10.1103/physrevb.34.7743.

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40

Santoro, G. E., and G. F. Giuliani. "Frequency dependence of the electron self-energy in a two-dimensional electron liquid." Solid State Communications 67, no. 7 (1988): 681–84. http://dx.doi.org/10.1016/0038-1098(88)91005-8.

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41

Salma, Khanam, and Z. J. Ding. "Surface Boundary Effect in Electron-Solid Interactions." Solid State Phenomena 121-123 (March 2007): 1175–80. http://dx.doi.org/10.4028/www.scientific.net/ssp.121-123.1175.

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Electrons impinging or escaping from a solid surface undergo surface electronic excitations which are competitive in nature to other electron-solid interaction channels. The detailed information about electron inelastic scattering probability for surface excitations at solid surface is also important in reflection electron energy loss spectroscopy. A self energy formalism based on quantum mechanical treatment of interaction of electrons with a semi-infinite medium, which uses the optical dielectric function is considered to study surface boundary effect for planar surfaces of Cu and Ni for var
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42

ZHOU, C. T., M. Y. YU, and X. T. HE. "Electron acceleration by high current-density relativistic electron bunch in plasmas." Laser and Particle Beams 25, no. 2 (2007): 313–19. http://dx.doi.org/10.1017/s0263034607000171.

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Electron acceleration by a short high-current relativistic electron bunch (EB) in plasmas at three characteristic densities is studied by particle-in-cell simulation. It is found that if the EB is appropriately matched to the background plasma, the blowout space-charge field of the EB can accelerate the trailing bunch electrons at very high energy gain rate. This high energy gain, as well as the large-amplitude wakefield, the turbulent small-scale electron plasma waves, and the formation of large current peaks, are studied. The evolution of the EB, its blowout field, and other related paramete
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43

GARCÍA, ALBERTO BRAVO, KAUSHIK BHATTACHARYA, and SARIRA SAHU. "THE NEUTRINO SELF-ENERGY IN A MAGNETIZED MEDIUM." Modern Physics Letters A 23, no. 32 (2008): 2771–86. http://dx.doi.org/10.1142/s0217732308028442.

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In this work we calculate the neutrino self-energy in the presence of a magnetized medium. The magnetized medium consists of electrons, positrons, neutrinos and a uniform classical magnetic field. The calculation is done assuming that the background magnetic field is weak compared to the W-boson mass squared, as a consequence of which only linear order corrections in the field are included in the W-boson propagator. The electron propagator consists of all order corrections in the background field. Although the neutrino self-energy in a magnetized medium in various limiting cases has been calcu
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44

Parle, AJ. "Quantum Electrodynamics in Strong Magnetic Fields. IV. Electron Self-energy." Australian Journal of Physics 40, no. 1 (1987): 1. http://dx.doi.org/10.1071/ph870001.

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The electron self-energy in a magnetic field is calculated with the effect of the field included exactly. A new representation of the wavefunctions and other quantities is defined, in which the mass operator has a particularly simple form. After renormalisation, the form of the mass operator allows corrections to the Dirac equation, wavefunctions, vertex function and the electron propagator close to the mass shell to be calculated to lowest order in the fine structure constant. The probability for an electron to change spin while remaining in the same Landau level is calculated, and is found t
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45

HAFZ, N., G. H. KIM, C. KIM, and H. SUK. "GENERATION OF GOOD-QUALITY RELATIVISTIC ELECTRON BEAM FROM SELF-MODULATED LASER WAKEFIELD ACCELERATION." International Journal of Modern Physics B 21, no. 03n04 (2007): 398–406. http://dx.doi.org/10.1142/s0217979207042173.

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A relativistic electron bunch with a large charge (~2 nC ) was produced from a self-modulated laser wakefield acceleration configuration. In this experiment, an intense laser pulse with a peak power of 2 TW and a duration of 700 fs was focused in a nitrogen gas jet, and multi-MeV electrons were observed from the strong laser-plasma interaction. By passing the electrons through a small pinhole-like collimator of cone f/70, we observed a narrowing in the electron beam's energy spread. The beam clearly showed a small energy-spread behavior with a central energy of 4.8 MeV and a charge of 115 pC.
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46

MATSUURA, HIROYUKI, and MASAHIRO NAKANO. "RELATIVISTIC QUANTUM FIELD THEORY FOR CONDENSED SYSTEMS-(III): AN EXPLICIT EXPRESSION OF ATOMIC SCHWINGER–DYSON METHOD." International Journal of Modern Physics B 19, no. 11 (2005): 1905–23. http://dx.doi.org/10.1142/s0217979205029596.

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A new explicit expressions of self-energies Πμν and Σ are introduced for photons and electrons based on the particle-hole-antiparticle representation (PHA) of Atomic Schwinger–Dyson formalism (ASD). The PHA representation describes exactly the physical processes such as particle-hole excitations (electron-hole) and particle-antiparticle excitations (electron-positron). The self-energy Σ includes both the quantum component and the classical component (classical external field and Coulomb's field), which are divided into the scalar part Σs and 4-dimensional vector parts Σ0, Σj. The electron prop
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47

Mohr, Peter J. "Self-energy correction to one-electron energy levels in a strong Coulomb field." Physical Review A 46, no. 7 (1992): 4421–24. http://dx.doi.org/10.1103/physreva.46.4421.

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48

STROCOV, V. N., P. O. NILSSON, R. CLAESSEN, et al. "SELF-ENERGY EFFECTS IN THE UNOCCUPIED AND OCCUPIED ELECTRONIC STRUCTURE OF Cu." Surface Review and Letters 09, no. 02 (2002): 1281–85. http://dx.doi.org/10.1142/s0218625x02003706.

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We report on self-energy effects in the electronic structure of Cu as a prototype weakly correlated system containing electron states of different localization. The unoccupied and occupied excited states were mapped fully resolved in the three-dimensional k using very-low-energy electron diffraction and photoemission, respectively. The self-energy corrections to the density-functional theory show distinct band- and k-dependence. These results are well described by quasiparticle GW calculations, especially for less localized states. We find correlation of the self-energy effects with spatial ov
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49

Xiu-Kun, Hua, Wu Yin-Zhong, and Li Zhen-Ya. "Electron self-energy and effective mass in a single heterostructure." Chinese Physics 12, no. 11 (2003): 1296–300. http://dx.doi.org/10.1088/1009-1963/12/11/319.

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50

Kirkegaard, C., T. K. Kim, and Ph Hofmann. "Self-energy determination and electron–phonon coupling on Bi(110)." New Journal of Physics 7 (April 29, 2005): 99. http://dx.doi.org/10.1088/1367-2630/7/1/099.

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