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Electronic structure of superheavy atoms

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We describe the status of the problem of the electron structure of superheavy atoms with nuclear charge Z > Z[sub]c[/sub] ; here Z[sub]c[/sub]≈170 is the critical value of the nuclear charge, at which the energy of the ground state of the 1S[sub]1/2 [/sub]electron reaches the limit of the lower continuum of the solutions of the Dirac equation (&z.ele; = - m[sub]e[/sub]c[sup]2[/sup]) . We discuss the dependence of Z[sub]c[/sub] on the nuclear radius R and on the character of the distribution of the electric charge inside the nucleus, and also the form of the wave functions at Z close to Z[sub]c[/sub] . Owing to the Coulomb barrier , the state of the electron remains localized at Z > Z[sub]c[/sub] , in spite of the fact that its energy approaches the continuum. An analysis of the polarization of the vacuum in a strong Coulomb field shows that a bare nucleus with supercritical charge Z > Z[sub]c[/sub] produces spontaneously two positrons and, in addition a charge density with a total of two units of negative charge in the vacuum. The distribution of this density is localized in a region of dimension r ≈ ħ/m[sub]e[/sub]c at the nucleus. The possibility of experimentally observing the effect of quasistatic production of positrons in the collision of two bare uranium nuclei (i.e., without electrons) is discussed. A brief review is presented of work on the motion of levels with increasing depth of the potential well in other relativistic equations (Kelin-Gordon, Proca, etc.).

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Fulltext is also available at DOI: 10.1070/PU1972v014n06ABEH004735
PACS: 31.15.Md, 32.10.Dk, 36.10.Dr, 34.50.−s (all)
DOI: 10.1070/PU1972v014n06ABEH004735
URL: https://ufn.ru/en/articles/1972/6/a/
Citation: Zeldovich Ya B, Popov V S "Electronic structure of superheavy atoms" Sov. Phys. Usp. 14 673–694 (1972)
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Îðèãèíàë: Çåëüäîâè÷ ß Á, Ïîïîâ Â Ñ «Ýëåêòðîííàÿ ñòðóêòóðà ñâåðõòÿæåëûõ àòîìîâ» ÓÔÍ 105 403–440 (1971); DOI: 10.3367/UFNr.0105.197111b.0403

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  24. Malyshev A V, Glazov D A et al Phys. Rev. A 106 (1) (2022)
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  26. Ye L-L, Han Ch-D et al Phys. Rev. A 106 (2) (2022)
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  30. Mahmoodian M M, Chaplik A V Jetp Lett. 114 545 (2021)
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  32. Kotov A A, Glazov D A et al Atoms 9 44 (2021)
  33. Neznamov V P, Shemarulin V E Int. J. Mod. Phys. A 36 2150086 (2021)
  34. Ji H, Liu H et al Advances In Physics: X 6 (1) (2021)
  35. Fu W, Ke Sh-Sh et al Physica E: Low-dimensional Systems And Nanostructures 134 114841 (2021)
  36. Taya H, Fujimori T et al J. High Energ. Phys. 2021 (3) (2021)
  37. Breev A I, Ferreira R et al J. Exp. Theor. Phys. 130 711 (2020)
  38. Asorey M, Santagata A J. High Energ. Phys. 2020 (8) (2020)
  39. Kotov A A, Glazov D A et al X-Ray Spectrometry 49 110 (2020)
  40. Pivnyak G, Pevzner M et al J. Phys. Commun. 4 075020 (2020)
  41. Kul E B, Polat M, Güçlü A D Solid State Communications 322 114096 (2020)
  42. Katsnelson M I The Physics of Graphene 2 (2020)
  43. Maltsev I A, Shabaev V M et al Opt. Spectrosc. 128 1100 (2020)
  44. Katin K P, Maslov M M et al Materials 13 4683 (2020)
  45. Pérez-Pedraza Ju C, Díaz-Bautista E et al Phys. Rev. B 102 (4) (2020)
  46. Popov R  V, Shabaev V  M et al Phys. Rev. D 102 (7) (2020)
  47. Schwerdtfeger P, Smits O R, Pyykkö P Nat Rev Chem 4 359 (2020)
  48. Wang J, Anđelković Miša et al Phys. Rev. B 102 (6) (2020)
  49. Grushevskaya H V, Timoshchenko A I et al 23 342 (2020)
  50. Krylov K S, Mur V  D, Fedotov A M Eur. Phys. J. C 80 (3) (2020)
  51. Polat M, Sevinçli H, Güçlü A D Phys. Rev. B 101 (20) (2020)
  52. Gorbatenko M V, Neznamov V P Theor Math Phys 205 1492 (2020)
  53. Sveshnikov K A, Voronina Yu S et al Theor Math Phys 199 533 (2019)
  54. Neznamov V P, Safronov I I J. Exp. Theor. Phys. 128 672 (2019)
  55. Van Pottelberge R, Moldovan D et al 2D Mater. 6 045047 (2019)
  56. Garanin S F, Kravets E M Physics Letters A 383 27 (2019)
  57. Krylov K S, Mur V D J. Phys.: Conf. Ser. 1238 012042 (2019)
  58. Lu J, Tsai H-Z et al Nat Commun 10 (1) (2019)
  59. Wang H, Liu Ya et al Front. Phys. 14 (2) (2019)
  60. Maltsev I  A, Shabaev V  M et al Phys. Rev. Lett. 123 (11) (2019)
  61. Neznamov V P, Safronov I I, Shemarulin V Y J. Exp. Theor. Phys. 128 64 (2019)
  62. Gorbar E V, Gusynin V P, Oriekhov D O Phys. Rev. B 99 (15) (2019)
  63. Liu H, Liu H et al Phys. Rev. B 100 (19) (2019)
  64. Popov V S, Popruzhenko S V Phys. Atom. Nuclei 82 1583 (2019)
  65. Zaslavskii O B Int. J. Mod. Phys. D 28 1950062 (2019)
  66. Durante M, Indelicato P et al Phys. Scr. 94 033001 (2019)
  67. Ryazantsev G, Beckman I, Buntseva I 2019 134 (2019)
  68. Han Ch-D, Xu H-Ya et al Phys. Rev. B 99 (24) (2019)
  69. Downing Ch A, Portnoi M E Physica Status Solidi (b) 256 (9) (2019)
  70. Davydov A, Sveshnikov K, Voronina Yu Int. J. Mod. Phys. A 33 1850005 (2018)
  71. Telnov D A, Krapivin D A et al J. Phys. Chem. A 122 8026 (2018)
  72. Neznamov V P Phys. Part. Nuclei 49 725 (2018)
  73. Godunov S I, Glazyrin S I et al EPJ Web Conf. 182 02047 (2018)
  74. Maltsev I A, Shabaev V M et al Phys. Rev. A 98 (6) (2018)
  75. Neznamov V P Theor Math Phys 197 1823 (2018)
  76. Sun M Phys. Rev. B 98 (20) (2018)
  77. Ratnikov P V, Silin A P Uspekhi Fizicheskikh Nauk 188 1249 (2018) [Ratnikov P V, Silin A P Phys.-Usp. 61 1139 (2018)]
  78. Neznamov V P, Safronov I I J. Exp. Theor. Phys. 127 647 (2018)
  79. Van Pottelberge R, Zarenia M, Peeters F M Phys. Rev. B 98 (11) (2018)
  80. Gorbar E V, Gusynin V P, Sobol O O 44 371 (2018)
  81. Godunov S, Machet B et al EPJ Web Conf. 191 02018 (2018)
  82. Agafonov A I Advances In High Energy Physics 2018 1 (2018)
  83. Gitman D M, Gavrilov S P Russ Phys J 59 1723 (2017)
  84. Neznamov V P J. Phys.: Conf. Ser. 938 012033 (2017)
  85. Maltsev I A, Shabaev V M et al Nuclear Instruments And Methods In Physics Research Section B: Beam Interactions With Materials And Atoms 408 97 (2017)
  86. Rafelski J, Kirsch J et al New Horizons in Fundamental Physics Chapter 17 (2017) p. 211
  87. Moldovan D, Masir M R, Peeters F M 2D Mater. 5 015017 (2017)
  88. Godunov S I, Machet B, Vysotsky M I Eur. Phys. J. C 77 (11) (2017)
  89. Kuleshov V M, Mur V D et al J. Phys.: Conf. Ser. 941 012048 (2017)
  90. Van Pottelberge R, Zarenia M et al Phys. Rev. B 95 (24) (2017)
  91. Novoselov A, Pavlovsky O Int. J. Mod. Phys. B 31 1750068 (2017)
  92. Khalilov V R, Mamsurov I V Physics Letters B 769 152 (2017)
  93. Karpov P I, Mukhin S I Phys. Rev. B 95 (19) (2017)
  94. Kuleshov V M, Mur V D et al J. Exp. Theor. Phys. 125 1144 (2017)
  95. Kuleshov V M, Mur V D, Narozhny I N B J. Phys.: Conf. Ser. 788 012044 (2017)
  96. Downing C A, Portnoi M E J. Phys.: Condens. Matter 29 315301 (2017)
  97. Oriekhov D O, Sobol O O et al Phys. Rev. B 96 (16) (2017)
  98. Khalilov V R Mod. Phys. Lett. A 32 1750200 (2017)
  99. Gorbatenko M V, Neznamov V P, Popov E Yu Gravit. Cosmol. 23 245 (2017)
  100. Ma X, Wen W Q et al Nuclear Instruments And Methods In Physics Research Section B: Beam Interactions With Materials And Atoms 408 169 (2017)
  101. Hahn W, Artemyev A N, Surzhykov A Opt. Spectrosc. 123 225 (2017)
  102. Kolomeisky E B, Straley J P, Abrams D L J. Phys.: Condens. Matter 28 47LT01 (2016)
  103. Mamsurov I V, Mamsurov I V i dr Teoreticheskaya Matematicheskaya Fizika 188 254 (2016) [Mamsurov I V, Khalilov V R Theor Math Phys 188 1181 (2016)]
  104. Avetissian H K Springer Series On Atomic, Optical, And Plasma Physics Vol. Relativistic Nonlinear ElectrodynamicsElectron–Positron Pair Production in Superstrong Laser Fields88 Chapter 9 (2016) p. 273
  105. Sobol O O Ukr. J. Phys. 61 759 (2016)
  106. Aleksandrov I A, Plunien G, Shabaev V M Eur. Phys. J. D 70 (1) (2016)
  107. Voronov B L, Voronov B L i dr Teoreticheskaya Matematicheskaya Fizika 187 213 (2016) [Voronov B L, Gitman D M et al Theor Math Phys 187 633 (2016)]
  108. Mao J, Jiang Yu et al Nature Phys 12 545 (2016)
  109. Khalilov V R, Mamsurov I V Mod. Phys. Lett. A 31 1650032 (2016)
  110. Downing C A, Portnoi M E Phys. Rev. B 94 (16) (2016)
  111. Fortov V E Springer Series In Materials Science Vol. Extreme States of MatterHigh-Power Lasers in High-Energy-Density Physics216 Chapter 5 (2016) p. 167
  112. Dou X, Kotov V N, Uchoa B Sci Rep 6 (1) (2016)
  113. Fu H, Reich K V, Shklovskii B I J. Exp. Theor. Phys. 122 456 (2016)
  114. Sobol O O, Pyatkovskiy P K et al Phys. Rev. B 94 (11) (2016)
  115. Miserev D S J. Exp. Theor. Phys. 122 1070 (2016)
  116. Nishida Yu Phys. Rev. B 94 (8) (2016)
  117. Vysotskii M I, Dolgov A D, Novikov V A Uspekhi Fizicheskikh Nauk 186 869 (2016)
  118. Jiang B -Y, Ni G  X et al Phys. Rev. Lett. 117 (8) (2016)
  119. Lv Q Z, Bauke H et al Phys. Rev. A 93 (1) (2016)
  120. Moldovan D, Peeters F M Nanomaterials for Security NATO Science For Peace And Security Series A: Chemistry And Biology Chapter 1 (2016) p. 3
  121. Jiang B -Y, Fogler M M Phys. Rev. B 91 (23) (2015)
  122. Kolomeisky E B Phys. Rev. A 92 (1) (2015)
  123. Reinhardt J, Greiner W Nuclear Physics: Present and Future Chapter 19 (2015) p. 195
  124. Kuleshov V M, Mur V D et al Uspekhi Fizicheskikh Nauk 185 845 (2015) [Kuleshov V M, Mur V D et al Phys.-Usp. 58 785 (2015)]
  125. Kuleshov V M, Mur V D et al Uspekhi Fizicheskikh Nauk 185 845 (2015) [Karnakov B M, Mur V D et al Phys.-Usp. 58 3 (2015)]
  126. Gorbar E V, Gusynin V P, Sobol O O EPL 111 37003 (2015)
  127. Fu H, Reich K V, Shklovskii B I Phys. Rev. B 92 (3) (2015)
  128. Gorbar E V, Gusynin V P, Sobol O O Phys. Rev. B 92 (23) (2015)
  129. Maltsev I A, Shabaev V M et al Phys. Rev. A 91 (3) (2015)
  130. Ludwig H, Ruffini R, Xue S -S Nuclear Physics A 941 1 (2015)
  131. Karnakov B M, Mur V D et al Uspekhi Fizicheskikh Nauk 185 3 (2015)
  132. Katoch J Synthetic Metals 210 68 (2015)
  133. Jentschura U D Phys. Rev. A 92 (1) (2015)
  134. Schwerdtfeger P, Pašteka Lukáš F et al Nuclear Physics A 944 551 (2015)
  135. Mironova D V, Tupitsyn I I et al Chemical Physics 449 10 (2015)
  136. Costa C V, Gitman D M, Shabad A E Phys. Scr. 90 074012 (2015)
  137. Kuleshov V M, Mur V D et al Jetp Lett. 101 264 (2015)
  138. Bulycheva K M, Gorskii A S Uspekhi Fizicheskikh Nauk 184 182 (2014) [Bulycheva K M, Gorsky A S Phys.-Usp. 57 171 (2014)]
  139. Downing C A, Portnoi M E Phys. Rev. A 90 (5) (2014)
  140. Klöpfer D, De Martino A et al Eur. Phys. J. B 87 (8) (2014)
  141. Vysotsky M I, Bravina L et al EPJ Web Of Conferences 70 00013 (2014)
  142. Gorsky A, Popov F Phys. Rev. D 89 (6) (2014)
  143. Vysotskii M I, Godunov S I Uspekhi Fizicheskikh Nauk 184 206 (2014) [Vysotskii M I, Godunov S I Phys.-Usp. 57 194 (2014)]
  144. Neznamov V P, Safronov I I Uspekhi Fizicheskikh Nauk 184 200 (2014) [Neznamov V P, Safronov I I Phys.-Usp. 57 189 (2014)]
  145. Neznamov V P, Safronov I I Uspekhi Fizicheskikh Nauk 184 200 (2014) [Popov V S, Karnakov B M Phys.-Usp. 57 257 (2014)]
  146. Neznamov V P, Safronov I I Uspekhi Fizicheskikh Nauk 184 200 (2014) [Popov V S Phys.-Usp. 57 413 (2014)]
  147. Nishida Yu Phys. Rev. B 90 (16) (2014)
  148. Popov V S, Karnakov B M Uspekhi Fizicheskikh Nauk 184 273 (2014)
  149. Sobol O O Ukr. J. Phys. 59 531 (2014)
  150. Popov V S Uspekhi Fizicheskikh Nauk 184 451 (2014)
  151. Zhu J-L, Liu Ch, Yang N Phys. Rev. B 90 (12) (2014)
  152. Yankowitz M, Xue J, LeRoy B J J. Phys.: Condens. Matter 26 303201 (2014)
  153. Skinner B, Shklovskii B I, Voloshin M B Phys. Rev. B 89 (4) (2014)
  154. Sveshnikov K A, Khomovskii D I Phys. Part. Nuclei Lett. 10 119 (2013)
  155. Choudhury D, Saha P Surveys in Theoretical High Energy Physics 1 Texts And Readings In Physical Sciences Chapter 5 (2013) p. 166
  156. Godunov S I, Vysotsky M I Phys. Rev. D 87 (12) (2013)
  157. Khalilov, Khalilov Teoreticheskaya Matematicheskaya Fizika 175 226 (2013) [Khalilov V R Theor Math Phys 175 637 (2013)]
  158. Sobol O O, Gorbar E V, Gusynin V P Phys. Rev. B 88 (20) (2013)
  159. Vysotsky M I Phys. Part. Nuclei 44 510 (2013)
  160. Khalilov V R Eur. Phys. J. C 73 (8) (2013)
  161. Bondarev A I, Kozhedub Y S et al Phys. Scr. T156 014054 (2013)
  162. Wang Ya, Wong D et al Science 340 734 (2013)
  163. Gitman D M, Levin A D et al Phys. Scr. 87 038104 (2013)
  164. Reinhardt J, Greiner W Exciting Interdisciplinary Physics Chapter 35 (2013) p. 439
  165. Kolomeisky E B, Straley J P, Zaidi H Phys. Rev. B 88 (16) (2013)
  166. RUEDA JORGE A, RUFFINI REMO Int. J. Mod. Phys. D 22 1360007 (2013)
  167. Kotov V N, Uchoa B et al Rev. Mod. Phys. 84 1067 (2012)
  168. Ananchenko V Yu, Sushchevskii A V et al Russ Phys J 54 1256 (2012)
  169. Monozon B S, Schmelcher P Phys. Rev. B 86 (24) (2012)
  170. Gitman D M, Tyutin I V, Voronov B L Self-adjoint Extensions in Quantum Mechanics Chapter 7 (2012) p. 237
  171. Godunov S I, Machet B, Vysotsky M I Phys. Rev. D 85 (4) (2012)
  172. Wang Ya, Brar V W et al Nature Phys 8 653 (2012)
  173. Gamayun O V, Gorbar E V, Gusynin V P Phys. Rev. D 86 (6) (2012)
  174. Gitman D M, Tyutin I V, Voronov B L Self-adjoint Extensions in Quantum Mechanics Chapter 8 (2012) p. 279
  175. Di Piazza A, Müller C et al Rev. Mod. Phys. 84 1177 (2012)
  176. Jung E, Kim K S, Park DaeKil Phys. Rev. B 85 (16) (2012)
  177. Zaslavskii O B Phys. Rev. D 86 (12) (2012)
  178. Sveshnikov K A, Khomovskii D I Theor Math Phys 173 1587 (2012)
  179. Sveshnikov K A, Khomovskii D I Moscow Univ. Phys. 67 429 (2012)
  180. Gitman D M, Tyutin I V, Voronov B L Self-adjoint Extensions in Quantum Mechanics Chapter 9 (2012) p. 411
  181. Rueda J A, Ruffini R, Xue S -S Nuclear Physics A 872 286 (2011)
  182. Gamayun O V, Gorbar E V, Gusynin V P Phys. Rev. B 83 (23) (2011)
  183. ROTONDO MICHAEL, RUFFINI REMO et al Int. J. Mod. Phys. D 20 1995 (2011)
  184. Das S S, Adam Sh et al Rev. Mod. Phys. 83 407 (2011)
  185. Fortov V E Extreme States of Matter The Frontiers Collection Chapter 4 (2011) p. 75
  186. Khalilov V R, Khalilov V R i dr Teor. Mat. Fiz. 169 368 (2011) [Khalilov V R, Lee K E Theor Math Phys 169 1683 (2011)]
  187. Ktitorov S A, Kuzmin Yu I, Firsova N E Semiconductors 45 1199 (2011)
  188. Ruffini R, Xue Sh-Sh Physics Letters B 696 416 (2011)
  189. RUFFINI REMO Int. J. Mod. Phys. D 20 1797 (2011)
  190. Rotondo M, Rueda J A et al Phys. Rev. C 83 (4) (2011)
  191. RUEDA JORGE A, RUFFINI REMO Int. J. Mod. Phys. E 20 141 (2011)
  192. Pyykkö P Phys. Chem. Chem. Phys. 13 161 (2011)
  193. Rotondo M, Rueda J A et al Physics Letters B 701 667 (2011)
  194. Hartmann R R, Shelykh I A, Portnoi M E Phys. Rev. B 84 (3) (2011)
  195. KHALILOV V R, LEE K E Mod. Phys. Lett. A 26 865 (2011)
  196. Lazur V Yu, Reity O K, Rubish V V Phys. Rev. D 83 (7) (2011)
  197. Karnakov B M, Mur V D et al Jetp Lett. 93 238 (2011)
  198. Nikishov A I, Ritus V I Uspekhi Fizicheskikh Nauk 180 1135 (2010) [Nikishov A I, Ritus V I Phys.-Usp. 53 1093 (2010)]
  199. Tupitsyn I I, Kozhedub Y S et al Phys. Rev. A 82 (4) (2010)
  200. Milstein A I, Terekhov I S Phys. Rev. B 81 (12) (2010)
  201. YU LAZUR V, REITY O K, RUBISH V V Int. J. Mod. Phys. A 25 3235 (2010)
  202. Gamayun O V, Gorbar E V, Gusynin V P Phys. Rev. B 81 (7) (2010)
  203. Fortov V E Uspekhi Fizicheskikh Nauk 179 653 (2009) [Fortov V E Phys.-Usp. 52 615 (2009)]
  204. Gamayun O V, Gorbar E V, Gusynin V P Phys. Rev. B 80 (16) (2009)
  205. Khalilov V R, Khalilov V R Teor. Mat. Fiz. 158 250 (2009) [Khalilov V R Theor Math Phys 158 210 (2009)]
  206. Esposito G, Santorelli P J. Phys. A: Math. Theor. 42 395203 (2009)
  207. Shytov A, Rudner M et al Solid State Communications 149 1087 (2009)
  208. Eling Ch, Bekenstein Ja D Phys. Rev. D 79 (2) (2009)
  209. Jackiw R, Milstein A I et al Phys. Rev. B 80 (3) (2009)
  210. Gabadadze G, Rosen R A Physics Letters B 666 277 (2008)
  211. Terekhov I S, Milstein A I et al Phys. Rev. Lett. 100 (7) (2008)
  212. Kleinert H, Ruffini R, Xue Sh-Sh Phys. Rev. D 78 (2) (2008)
  213. Pickl P, Dürr D Commun. Math. Phys. 282 161 (2008)
  214. Dicus D A, Repko W W, Teplitz V L Phys. Rev. D 78 (9) (2008)
  215. Pereira V M, Kotov V N, Castro N A H Phys. Rev. B 78 (8) (2008)
  216. Goudarzi H, Golmohamadi M Int J Theor Phys 47 3121 (2008)
  217. Simonov Yu A Annals Of Physics 323 783 (2008)
  218. Flambaum V V, Johnson W R Phys. Rev. A 77 (1) (2008)
  219. Shabad A E, Usov V V Phys. Rev. D 77 (2) (2008)
  220. Novikov D S Phys. Rev. B 76 (24) (2007)
  221. RUFFINI REMO, ROTONDO MICHAEL, XUE SHE-SHENG Int. J. Mod. Phys. D 16 1 (2007)
  222. Shytov A V, Katsnelson M I, Levitov L S Phys. Rev. Lett. 99 (23) (2007)
  223. Fogler M M, Novikov D S, Shklovskii B I Phys. Rev. B 76 (23) (2007)
  224. Shytov A V, Katsnelson M I, Levitov L S Phys. Rev. Lett. 99 (24) (2007)
  225. Voronov B L, Voronov B L i dr Teor. Mat. Fiz. 150 41 (2007) [Voronov B L, Gitman D M, Tyutin I V Theor Math Phys 150 34 (2007)]
  226. Karnakov B M, Mur V D, Popov V S J. Exp. Theor. Phys. 105 292 (2007)
  227. González-Díaz L, Villalba V M Physics Letters A 352 202 (2006)
  228. Popov V S, Karnakov B M et al J. Exp. Theor. Phys. 102 760 (2006)
  229. Shabad A E, Usov V V Phys. Rev. Lett. 96 (18) (2006)
  230. Springer Series In Optical Sciences Vol. Relative Nonlinear ElectrodynamicsElectron-Positron Pair Production in Superstrong Laser Fields120 Chapter 9 (2006) p. 291
  231. Okun L B Phys. Atom. Nuclei 69 1759 (2006)
  232. Shabad A E, Usov V V Phys. Rev. D 73 (12) (2006)
  233. Mourou G A, Tajima T, Bulanov S V Rev. Mod. Phys. 78 309 (2006)
  234. Xue Sh-Sh Gen Relativ Gravit 38 1135 (2006)
  235. Labzowsky L, Plunien G, Shabaev V Phys. Scr. 73 C119 (2006)
  236. Shabad A E J. Phys. A: Math. Gen. 38 7419 (2005)
  237. Lazur V Yu, Reity O K, Rubish V V Theor Math Phys 143 559 (2005)
  238. Dokshitzer Yu L Nuclear Physics A 755 229 (2005)
  239. Popov V S Uspekhi Fizicheskikh Nauk 174 921 (2004)
  240. Gershtein S S Uspekhi Fizicheskikh Nauk 174 911 (2004)
  241. Popov V S, Karnakov B M, Mur V D Jetp Lett. 79 262 (2004)
  242. El N M S Chaos, Solitons & Fractals 20 455 (2004)
  243. Karnakov B M, Popov V S J. Exp. Theor. Phys. 97 890 (2003)
  244. Ruffini R, Vitagliano L, Xue Sh-Sh Physics Letters B 559 12 (2003)
  245. Dechargé J, Berger J -F et al Nuclear Physics A 716 55 (2003)
  246. Popov V S Physics Letters A 298 83 (2002)
  247. Popov V S J. Exp. Theor. Phys. 94 1057 (2002)
  248. Radantsev V F, Yafyasov A M J. Exp. Theor. Phys. 95 491 (2002)
  249. Khriplovich I B Phys. Atom. Nuclei 65 1259 (2002)
  250. Ringwald A Physics Letters B 510 107 (2001)
  251. Flambaum V V, Berengut J C Phys. Rev. D 63 (8) (2001)
  252. Popov V S Phys. Atom. Nuclei 64 367 (2001)
  253. Soff G, Bednyakov I et al Atomic Physics at Accelerators: Mass Spectrometry Chapter 4 (2001) p. 75
  254. Bogevolnov V B, Ivankiv I M et al J. Exp. Theor. Phys. 92 135 (2001)
  255. Dombey N, Hall R L Physics Letters B 474 1 (2000)
  256. Khalilov V R, Khalilov V R Teor. Mat. Fiz. 122 372 (2000) [Khalilov V R Theor Math Phys 122 312 (2000)]
  257. Beier T Physics Reports 339 79 (2000)
  258. Biesiada M, Syska J Phys. Scr. 59 95 (1999)
  259. Khalilov V R, Khalilov V R Teor. Mat. Fiz. 119 105 (1999) [Khalilov V R Theor Math Phys 119 481 (1999)]
  260. Khriplovich I B Physics Reports 320 37 (1999)
  261. Brovetto P, Maxia V, Salis M Nuov Cim A 112 531 (1999)
  262. Hajyan G S, Vartanyan Yu L, Grigoryan A K Astrophysics 42 467 (1999)
  263. Radantsev V F J. Exp. Theor. Phys. 88 552 (1999)
  264. Khriplovich I B J. Exp. Theor. Phys. 88 845 (1999)
  265. Khalilov V R, Khalilov V R Teor. Mat. Fiz. 116 277 (1998) [Khalilov V R Theor Math Phys 116 956 (1998)]
  266. Calogeracos A, Dombey N Physica B: Condensed Matter 255 126 (1998)
  267. Mur V D, Karnakov B M, Popov V S J. Exp. Theor. Phys. 87 433 (1998)
  268. Popov V S, Mur V D, Karnakov B M Physics Letters A 250 20 (1998)
  269. KHALILOV V R, HO CHOON-LIN Mod. Phys. Lett. A 13 615 (1998)
  270. Karnakov B M, Mur V D, Popov V S Jetp Lett. 65 405 (1997)
  271. Dolgov A D, Khriplovich I B Physics Letters B 400 12 (1997)
  272. Popov V S, Mur V D, Karnakov B M Jetp Lett. 66 229 (1997)
  273. Radantsev V F, Deryabina T I et al Phys. Rev. B 53 15756 (1996)
  274. Greiner W, Reinhardt J Phys. Scr. T56 203 (1995)
  275. Müller-Nehler U, Soff G Physics Reports 246 101 (1994)
  276. Mańka R, Syska J Phys. Rev. D 49 1468 (1994)
  277. Reinhardt J, Greiner W Lecture Notes In Physics Vol. Matter Under Extreme ConditionsTheoretical aspects of quantum electrodynamics in strong fields440 Chapter 5 (1994) p. 153
  278. Griffin Ja J NATO ASI Series Vol. Topics in Atomic and Nuclear CollisionsThe Sharp Lepton Problem and the C(Q0?) Scenario321 Chapter 26 (1994) p. 419
  279. Jetzer P, Liljenberg P, Skagerstam B -S Astroparticle Physics 1 429 (1993)
  280. Dietz K, Porath R, Römer H Nuclear Physics A 560 973 (1993)
  281. Radantsev V F Semicond. Sci. Technol. 8 394 (1993)
  282. Close F E, Dokshitzer Yu L et al Physics Letters B 319 291 (1993)
  283. Papageorgiu E Physics Letters B 291 180 (1992)
  284. Sabbata V, Sivaram C Black Hole Physics Chapter 6 (1992) p. 225
  285. Abud M, Iudice N L Nuov Cim A 105 711 (1992)
  286. Ivanov L N, Zueva T V Phys. Scr. 43 368 (1991)
  287. Grandy W T Relativistic Quantum Mechanics of Leptons and Fields Chapter 5 (1991) p. 130
  288. Grandy W T Relativistic Quantum Mechanics of Leptons and Fields Chapter 3 (1991) p. 71
  289. Graf S, Müller B et al NATO ASI Series Vol. Vacuum Structure in Intense FieldsQED in Strong Coulomb Fields: Charged Vacuum, Atomic Clock, and Correlated, Narrow e+e−-Lines255 Chapter 7 (1991) p. 119
  290. Fradkin E S, Gitman D M, Shvartsman Sh M Quantum Electrodynamics Springer Series In Nuclear And Particle Physics Chapter 5 (1991) p. 107
  291. Chu M-Ch, Huang S, Polonyi Ja Nuclear Physics B 362 599 (1991)
  292. Ivanov L N, Zueva T V Soviet Physics Journal 33 704 (1990)
  293. Balazs C J. Phys. A: Math. Gen. 23 3953 (1990)
  294. Müller B NATO ASI Series Vol. Physics of Highly-Ionized AtomsQuantum Electrodynamics (QED) in Strong Coulomb Fields: Charged Vacuum, Atomic Clock, and Narrow Positron Lines201 Chapter 2 (1989) p. 39
  295. Caldi D G, Chodos A et al Phys. Rev. D 39 1432 (1989)
  296. Hraskó P, Földy L, Tóth A Acta Physica Hungarica 63 55 (1988)
  297. Peccei R D, Solà J, Wetterich C Phys. Rev. D 37 2492 (1988)
  298. Šeba P Czech J Phys 38 1078 (1988)
  299. Müller B Physics of Strong Fields Chapter 3 (1987) p. 43
  300. Schramm S, Reinhardt J et al Physics Letters B 198 136 (1987)
  301. Heinz U Rep. Prog. Phys. 50 145 (1987)
  302. Wong Ch-Y Phys. Rev. Lett. 58 426 (1987)
  303. Schramm S, Reinhardt J et al Physics of Strong Fields Chapter 18 (1987) p. 411
  304. Jakubassa-Amundsen D H Physics Letters A 120 407 (1987)
  305. Cowan T E, Greenberg Ja S Physics of Strong Fields Chapter 6 (1987) p. 111
  306. Kim D Y, Zahir M S Phys. Rev. D 35 886 (1987)
  307. Hirata Yu, Minakata H Phys. Rev. D 34 2493 (1986)
  308. Suzuki M Physics Letters B 175 364 (1986)
  309. Lissia M, Mezzorani G et al Nuov Cim A 92 217 (1986)
  310. Reinhardt J, Schäfer A et al Phys. Rev. C 33 194 (1986)
  311. Schramm S, Reinhardt J et al Z. Physik A - Atomic Nuclei 323 275 (1986)
  312. Wong Ch-Y Phys. Rev. Lett. 56 1047 (1986)
  313. Celenza L S, Mishra V K et al Phys. Rev. Lett. 57 55 (1986)
  314. Bosch F, Müller B Progress In Particle And Nuclear Physics 16 195 (1986)
  315. Kopper C Nuov Cim A 93 99 (1986)
  316. Papp E Physics Reports 136 103 (1986)
  317. Senatore G, March N H Phys. Rev. A 32 3277 (1985)
  318. Anholt R Rev. Mod. Phys. 57 995 (1985)
  319. Schafer A, Reinhardt J et al J. Phys. G: Nucl. Phys. 11 L69 (1985)
  320. Reinhardt J, Greiner W Treatise on Heavy-Ion Science Chapter 1 (1985) p. 1
  321. Backe H, Müller B Atomic Inner-Shell Physics Chapter 14 (1985) p. 627
  322. Krause J, Kleber M Phys. Rev. A 31 113 (1985)
  323. Miransky V A Nuov Cim A 90 149 (1985)
  324. Physics and Astrophysics (1985) p. 114
  325. Greiner W Lecture Notes In Physics Vol. Hadrons and Heavy IonsQuantum electrodynamics of strong fields231 Chapter 3 (1985) p. 95
  326. Krause J, Kleber M Nuclear Instruments And Methods In Physics Research Section B: Beam Interactions With Materials And Atoms 9 505 (1985)
  327. Oberacker V E Phys. Rev. C 32 1793 (1985)
  328. Greenberg J S, Vincent P Treatise on Heavy-Ion Science Chapter 2 (1985) p. 139
  329. Pritomanov S A Soviet Physics Journal 28 43 (1985)
  330. Reinhardt J, Greiner W Phys. Bl. 41 38 (1985)
  331. Nikishov A I J Russ Laser Res 6 619 (1985)
  332. Kienle P Progress In Particle And Nuclear Physics 15 77 (1985)
  333. Gay J C Progress in Atomic Spectroscopy Part C Chapter 6 (1984) p. 177
  334. Schäfer A, Müller B, Greiner W Physics Letters B 149 455 (1984)
  335. Jena P K, Pradhan T Pramana - J Phys 22 237 (1984)
  336. M�ller U, Soff G et al Z Physik A 313 263 (1983)
  337. Wu Dan-di, Ma Zhong-qi Physics Letters B 122 54 (1983)
  338. Gyulassy M Quantum Electrodynamics of Strong Fields Chapter 29 (1983) p. 685
  339. Müller B Quantum Electrodynamics of Strong Fields Chapter 3 (1983) p. 41
  340. Balachandran A P, Roy S M, Singh V Phys. Rev. D 28 2669 (1983)
  341. Fomin P I, Gusynin V P et al Riv. Nuovo Cim. 6 1 (1983)
  342. Soffel M, Müller B, Greiner W Physics Reports 85 51 (1982)
  343. Reading J F, Ford A L et al Nuclear Instruments And Methods In Physics Research 192 1 (1982)
  344. Müller B, Rafelski J Phys. Rev. D 25 566 (1982)
  345. Müller U, Aboul-El-Naga N et al Lecture Notes In Physics Vol. Heavy-Ion CollisionsSpectroscopy of superheavy quasimolecules and quasiatoms168 Chapter 28 (1982) p. 388
  346. Mokler P H, Armbruster P et al Inner-Shell and X-Ray Physics of Atoms and Solids Chapter 10 (1981) p. 49
  347. Miransky V A, Gusynin V P, Sitenko Yu A Physics Letters B 100 157 (1981)
  348. G�rtner P, Heinz U et al Z Physik A 300 143 (1981)
  349. Reinhardt J, M�ller U et al Z Physik A 303 173 (1981)
  350. Kienle P Atomic Physics 7 Chapter 1 (1981) p. 1
  351. Reinhardt J, Müller B, Greiner W Phys. Rev. A 24 103 (1981)
  352. Wu Dan-di Physics Letters B 105 443 (1981)
  353. Bawin M Phys. Rev. D 24 3174 (1981)
  354. St�cker H, Cusson R Y et al Z Physik A 294 125 (1980)
  355. Reinhardt J, Müller B, Greiner W Progress In Particle And Nuclear Physics 4 503 (1980)
  356. Lisin V I, Marinov M S, Popov V S Physics Letters B 91 20 (1980)
  357. Starostin V S Theor Math Phys 42 217 (1980)
  358. Kienle P Progress In Particle And Nuclear Physics 4 579 (1980)
  359. Nenciu G Commun.Math. Phys. 76 117 (1980)
  360. Miransky V A Physics Letters B 91 421 (1980)
  361. Bosch F, Liesen D et al Z Physik A 296 11 (1980)
  362. Bawin M, Lavine J -P Lett. Nuovo Cimento 26 586 (1979)
  363. Kozhuharov C, Kienle P et al Phys. Rev. Lett. 42 376 (1979)
  364. Soff G, Greiner W et al Phys. Rev. A 20 169 (1979)
  365. Martellini M, Reina C, Treves A Phys. Rev. D 17 2573 (1978)
  366. Backe H, Handschug L et al Phys. Rev. Lett. 40 1443 (1978)
  367. Greiner W, Peitz H Physik In Unserer Zeit 9 165 (1978)
  368. Reinhardt J, Oberacker V et al Physics Letters B 78 183 (1978)
  369. Brodsky S J, Mohr P J Topics In Current Physics Vol. Structure and Collisions of Ions and AtomsQuantum Electrodynamics in Strong and Supercritical Fields5 Chapter 2 (1978) p. 3
  370. Klein A, Rafelski J Z Physik A 284 71 (1978)
  371. Rafelski J, Fulcher L P, Klein A Physics Reports 38 227 (1978)
  372. Popov V S, Eletsky V L et al Physics Letters B 80 68 (1978)
  373. Greiner W, Müller B, Soff G Physics Letters A 69 27 (1978)
  374. Marinov M S, Popov V S Fortschr. Phys. 25 373 (1977)
  375. Goldhaber A S Phys. Rev. D 16 1815 (1977)
  376. Cannata F, Graves R, Überall H Riv. Nuovo Cim. 7 133 (1977)
  377. Reinhardt J, Greiner W Rep. Prog. Phys. 40 219 (1977)
  378. Soff G, Reinhardt J et al Phys. Rev. Lett. 38 592 (1977)
  379. Ginsburg W L Über Physik und Astrophysik Chapter 6 (1977) p. 139
  380. Perel’man N F Theor Math Phys 32 636 (1977)
  381. Müller B, Greiner W Contacts Between High Energy Physics and Other Fields of Physics Chapter 4 (1977) p. 153
  382. Lisin V I, Marinov M S, Popov V S Physics Letters B 69 141 (1977)
  383. Grib A A, Mostepanenko V M, Frolov V M Theor Math Phys 26 148 (1976)
  384. Reinhardt J, Greiner W Physik In Unserer Zeit 7 171 (1976)
  385. Betz W, Soff G et al Phys. Rev. Lett. 37 1046 (1976)
  386. Nörenberg W, Weidenmüller H A Lecture Notes In Physics Vol. Introduction to the Theory of Heavy-Ion CollisionsAtomic effects in ion-atom collisions51 Chapter 9 (1976) p. 252
  387. Jakuba�a D H, Kleber M Z Physik A 277 41 (1976)
  388. Fomin P I, Miransky V A Physics Letters B 64 166 (1976)
  389. Dolgov A D Physics Letters B 63 175 (1976)
  390. Mur V D, Popov V S Theor Math Phys 27 346 (1976)
  391. Mur V D, Popov V S Theor Math Phys 27 429 (1976)
  392. Farbshtein I I, Dubinskaya L S, Krigel V G Physica Status Solidi (b) 75 (2) (1976)
  393. Fomin P I, Gusynin V P et al Nuclear Physics B 110 445 (1976)
  394. Rafelski J, Müller B Phys. Rev. Lett. 36 517 (1976)
  395. Bui-Duy Q Phys. Rev. D 11 1635 (1975)
  396. Price P B, Stevenson J Phys. Rev. Lett. 34 409 (1975)
  397. Gyulassy M Nuclear Physics A 244 497 (1975)
  398. Marinov M S, Popov V S J. Phys. A: Math. Gen. 8 1575 (1975)
  399. Bawin M, Lavine J P Phys. Rev. D 12 1192 (1975)
  400. Lichten W Atomic Physics 4 Chapter 14 (1975) p. 249
  401. Klein A, Rafelski J Phys. Rev. D 12 1194 (1975)
  402. Atkinson D A, Crater H W Phys. Rev. D 11 2885 (1975)
  403. Bagrov V G, Gitman D M et al Soviet Physics Journal 18 351 (1975)
  404. Marinov M S, Popov V S, Stolin V L Journal Of Computational Physics 19 241 (1975)
  405. Gyulassy M Phys. Rev. Lett. 33 921 (1974)
  406. Grib A A, Levitskii B A, Mostepanenko V M Theor Math Phys 19 349 (1974)
  407. Grib A A, Mamaev S G, Mostepanenko V M Soviet Physics Journal 17 1700 (1974)
  408. Bawin M, Lavine J P Nuov Cim A 15 38 (1973)
  409. Perelomov A M, Popov V S Theor Math Phys 14 12 (1973)
  410. Migdal A B Nuclear Physics B 52 483 (1973)
  411. Müller B, Rafelski J, Greiner W Nuov Cim A 18 551 (1973)
  412. Marinov M S, Popov V S Theor Math Phys 17 967 (1973)
  413. Gershtein S S, Popov V S Lett. Nuovo Cimento 6 593 (1973)
  414. Grib A A, Mostepanenko V M, Frolov V M Theor Math Phys 13 1207 (1972)
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