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Many Body Calculations in Atomic Physics

  • Chapter
Book cover Fundamental Processes in Atomic Collision Physics

Part of the book series: NATO ASI Series ((NSSB,volume 134))

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Abstract

In these lectures, the use of many-body perturbation theory for atomic calculations will be reviewed. The major emphasis will be on use of the linked-cluster many-body perturbation theory first derived by Brueckner1 and Goldstone.2 General reviews of many-body theory are given in books such as those by Thouless,3 Fetter and Walecka,4 March, Young, and Sampanthar,5 and Lindgren and Morrison.6 In understanding many-body theory, it is useful to begin with Rayleigh-Schrödinger (RS) theory for a one-particle system and to relate it to the many-body case. A similar discussion has been presented previously.7

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References

  1. K. A. Brueckner, Phys. Rev. 97:1353 (1955); 100: 36 (1955).

    Article  ADS  MATH  Google Scholar 

  2. J. Goldstone, Proc. Roy. Soc. A 239: 267 (1957).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. D. J. Thouless, “The Quantum Mechanics of Many-Body Systems,” 2nd ed., Academic, New York (1972).

    Google Scholar 

  4. A. L. Fetter and J. D. Walecka, “Quantum Theory of Many-Particle Systems,” McGraw Hill, New York (1971).

    Google Scholar 

  5. N. H. March, W. G. Young, and S. Sampanthar, “The Many-Body Problem in Quantum Mechanics,” Cambridge University Press, Cambridge (1967).

    Google Scholar 

  6. I. Lindgren and J. Morrison, “Atomic Many-Body Theory,” Springer-Verlag, Berlin (1982).

    Google Scholar 

  7. H. P. Kelly, 1976, in “Photoionization and Other Probes of Many-Electron Interactions,” F. Wuilleumier, ed., Plenum, New York, p. 83.

    Google Scholar 

  8. A. Messiah, “Quantum Mechanics,” North-Holland, New York (1961).

    Google Scholar 

  9. L. M. Frantz, R. L. Mills, R. G. Newton, and A. M. Sessler, Phys. Rev. Lett. 1: 340 (1958).

    Article  ADS  Google Scholar 

  10. B. A. Lippman, M. H. Mittleman, and K. M. Watson, Phys. Rev. 116: 920 (1959).

    Article  ADS  Google Scholar 

  11. R. T. Pu and E. S. Chang, Phys. Rev. 151: 31 (1966).

    Article  ADS  Google Scholar 

  12. H. J. Silverstone and M. L. Yin, J. Chem. Phys. 49: 2026 (1968).

    Article  ADS  Google Scholar 

  13. S. Huzinaga and C. Arnau, Phys. Rev. Al: 1285 (1970).

    Google Scholar 

  14. H. P. Kelly, Phys. Rev. 136B: 896 (1964).

    Article  MathSciNet  ADS  Google Scholar 

  15. C. F. Bunge, Phys. Rev. A14: 1965 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  16. S. Salomonson, I. Lindgren, and A.-M. Martensson, Phys. Scr. 21: 351 (1980).

    Article  ADS  Google Scholar 

  17. I. Lindgren and S. Salomonson, Phys. Scr. 21: 335 (1980).

    Article  ADS  Google Scholar 

  18. H. P. Kelly. Phys. Rev. 144: 39 (1966).

    Article  ADS  Google Scholar 

  19. H. P. Kelly, 1971, in “Atomic Physics 2,” P. G. Sanders, ed., Plenum, London, p. 227.

    Google Scholar 

  20. J. W. Viers, F. E. Harris, and H. F. Schaefer III, Phys. Rev. Al: 24 (1970).

    Google Scholar 

  21. T. L. Barr and E. R. Davidson, Phys. Rev. A1-. 644 (1970).

    Google Scholar 

  22. J. I. Musher and J. M. Schulman, Phys. Rev. 173: 93 (1968).

    Article  ADS  Google Scholar 

  23. V. McKoy and N. W. Winter, J. Chem. Phys. 48: 5514 (1968).

    Article  ADS  Google Scholar 

  24. A.-M. Martensson, J. Phys. B12: 3995 (1979).

    ADS  Google Scholar 

  25. R. M. Sternheimer, Phys. Rev. 84: 244 (1951).

    Article  ADS  MATH  Google Scholar 

  26. E. S. Chang, R. T. Pu, and T. P. Das, Phys. Rev. 174: 1 (1968).

    Article  ADS  Google Scholar 

  27. H. P. Kelly, Phys. Rev. 173: 142 (1968).

    Article  ADS  Google Scholar 

  28. M. Vajed-Samii, S. N. Ray, T. P. Das, and J. Andriessen, Phys. Rev. A20: 1787 (1979).

    Article  ADS  Google Scholar 

  29. I. Lindgren, Repts. Prog. Phys. 47: 345 (1984).

    Article  ADS  Google Scholar 

  30. A.-M. Martensson, J. Phys. B12: 3995 (1979).

    ADS  Google Scholar 

  31. J. S. M. Harvey, Proc. Roy. Soc. (London) A285: 581 (1965).

    Google Scholar 

  32. H. P. Kelly, Phys. Rev. 180: 55 (1969).

    Article  ADS  Google Scholar 

  33. R. L. Chase, H. P. Kelly, and H. S. Köhler, Phys. Rev. A3: 1550 (1971).

    Article  ADS  Google Scholar 

  34. H. P. Kelly, Phys. Rev. All: 556 (1975).

    Google Scholar 

  35. W. Mehlhorn, D. Stalherm, and H. Verbeek, Z. Naturforsch A23: 287 (1968).

    Google Scholar 

  36. W. WölfIi, Ch. Stoller, G. Bonani, M. Suter, and M. Stöckli, Phys. Rev. Lett. 35: 656 (1975).

    Article  ADS  Google Scholar 

  37. H. P. Kelly, Phys. Rev. Lett. 37: 386 (1976).

    Article  ADS  Google Scholar 

  38. R. L. Simons, H. P. Kelly, and R. Bruch, Phys. Rev. A19: 682 (1979).

    Article  ADS  Google Scholar 

  39. R. L. Simons and H. P. Kelly, Phys. Rev. A22: 625 (1980).

    Article  ADS  Google Scholar 

  40. C. Bouchiat, 1981, in “Atomic Physics 8,” D. Kleppner and F. M. Piplin, eds., Plenum, New York, p. 83.

    Google Scholar 

  41. M. A. Bouchiat and C. Bouchiat, J. Phys. B35: 899 (1974).

    Article  Google Scholar 

  42. T. P. Emmons, J. M. Reeves, and E. N. Fortson, Phys. Rev. Lett. 52: 86 (1984).

    Article  ADS  Google Scholar 

  43. S. L. Carter and H. P. Kelly, Phys. Rev. Lett. 15: 966 (1979).

    Article  ADS  Google Scholar 

  44. M. J. Harris, C. E. Loving, and P. G. H. Sanders, J. Phys. Bll: L749o(1978).

    Google Scholar 

  45. A.-M. Martensson, E. M. Henley, and L. Wilets, Phys. Rev. A24: 308 (1981).

    Article  ADS  Google Scholar 

  46. P. S. Drell and E. D. Commins, Phys. Rev. Lett. 53: 968 (1984).

    Article  ADS  Google Scholar 

  47. D. Neuffer and E. D. Commins, Phys. Rev. A16: 844 (1977).

    Article  ADS  Google Scholar 

  48. B. P. Das etal., Phys. Rev. Lett. 49: 32 (1982).

    Article  ADS  Google Scholar 

  49. J. A. R. Samson, 1982, in “Handbuch der Physik XXXI,” S. Flügge and W. Mehlhorn, eds., Springer-Verlag, p. 123.

    Google Scholar 

  50. A. F. Starace, ibid., p. 1.

    Google Scholar 

  51. W. R. Johnson, 1983, in “Atomic Physics 8,” I. Lindgren, A. Rosen, and S. Svanberg, eds., Plenum, New York, p. 149.

    Google Scholar 

  52. M. Ya. Amusia, ibid., p. 287.

    Google Scholar 

  53. H. P. Kelly, ibid., p. 305.

    Google Scholar 

  54. M. O. Krause, 1980, in “Synchrotron Radiation Research,” H. Winick and S. Doniach, eds., Plenum, New York, p. 101.

    Google Scholar 

  55. U. Fano and J. W. Cooper, Rev. Mod. Phys. 40: 441 (1968).

    Article  ADS  Google Scholar 

  56. H. P. Kelly and R. L. Simons, Phys. Rev. Lett. 30: 529 (1973).

    Article  ADS  Google Scholar 

  57. M. Ya. Amusia, N. A. Cherepkov, and L. V. Chernysheva, Sov. Phys. JETP 33: 90 (1971).

    ADS  Google Scholar 

  58. M. Ya. Amusia and N. A. Cherepkov, Case Studies in Atomic Physics 5: 47 (1975).

    Google Scholar 

  59. P. G. Burke and K. T. Taylor, J. Phys. B8: 2620 (1975).

    ADS  Google Scholar 

  60. C. D. Lin, Phys. Rev. A9: 181 (1974).

    Google Scholar 

  61. D. J. Kennedy and S. T. Manson, Phys. Rev. A5: 227 (1972).

    Article  ADS  Google Scholar 

  62. R. G. Houlgate, J. B. West, K. Codling, and G. V. Marr, J. Elect. Spectrosc. 9: 205 (1976).

    Article  Google Scholar 

  63. J. A. R. Samson and J. L. Gardner, Phys. Rev. Lett. 33: 671 (1974).

    Article  ADS  Google Scholar 

  64. M. S. Pindzola and H. P. Kelly, Phys. Rev. A12: 1419 (1975).

    Article  ADS  Google Scholar 

  65. S. Shahabi, A. F. Starace, and T. N. Chang, Phys. Rev. A30: 1819 (1984), and references therein.

    Google Scholar 

  66. E. R. Brown, S. L. Carter, and H. P. Kelly, Phys. Rev. A21: 1237 (1980).

    Article  ADS  Google Scholar 

  67. B. Ruscic and J. Berkowitz, Phys. Rev. Lett. 50: 675 (1983).

    Article  ADS  Google Scholar 

  68. J. E. Hansen, R. D. Cowan, S. L. Carter, and H. P. Kelly, Phys. Rev. A30: 1540 (1984).

    Article  ADS  Google Scholar 

  69. M. Ya Amusia and V. K. Ivanov, Phys. Lett. 59A: 194 (1976).

    Article  Google Scholar 

  70. M. J. Lynch, K. Codling, and A. B. Gardner, Phys. Lett. 43A: 213 (1973).

    Google Scholar 

  71. L. Torop, J. Morton, and J. B. West, J. Phys. B9: 2035 (1976).

    ADS  Google Scholar 

  72. G. Wendin, Phys. Lett. 51A: 291 (1975).

    Article  Google Scholar 

  73. M. Ya. Amusia, V. K. Ivanov, and L. V. Chernysheva, Phys. Lett. 59A: 191 (1976).

    Article  Google Scholar 

  74. H. P. Kelly, S. L. Carter, and B. E. Norum, Phys. Rev. A25: 2052 (1982).

    Article  ADS  Google Scholar 

  75. Z. Altun, S. L. Carter, and H. P. Kelly, Phys. Rev. A27: 1943 (1983).

    ADS  Google Scholar 

  76. P. Scott, A. E. Kingston, and A. Hibbert, J. Phys. B16: 3945 (1983).

    ADS  Google Scholar 

  77. C. H. Greene and P. O’Mahony, to be published.

    Google Scholar 

  78. R. Bruhn, E. Schmidt, H. Schröder, and B. Sonntag, Phys. Lett. 90A: 41 (1982).

    Article  Google Scholar 

  79. J. P. Connerade, M. W. D. Mansfield, and M. A. P. Martin, Proc. Roy. Soc. A350: 405 (1976).

    Article  ADS  Google Scholar 

  80. P. H. Kobrin, U. Becker, C. M. Truesdale, D. W. Lindle, H. G. Kerkhoff, and D. A. Shirley, J. Elect. Spectrosc. Relat. Phenom. 34: 129 (1984).

    Article  Google Scholar 

  81. M. O. Krause, T. A. Carlson, and A. Fahlmann, Phys. Rev. A30: 1316 (1984).

    Article  ADS  Google Scholar 

  82. E. Schmidt, H. Schroder, B. Sonntage, H. Voss, and H. E. Wetzel, J. Phys. B18: 79 (1985).

    ADS  Google Scholar 

  83. L. J. Garvin, E. R. Brown, S. L. Carter, and H. P. Kelly, J. Phys. B16-. L269 (1983).

    Google Scholar 

  84. L. C. Davis and L. A. Feldkamp, Phys. Rev. A17: 2012 (1978).

    Article  ADS  Google Scholar 

  85. M. Ya. Amusia, V. K. Ivanov, and L. V. Chernysheva. J. Phys. B14: L19 (1981).

    ADS  Google Scholar 

  86. B. Sonntag, private communication.

    Google Scholar 

  87. K. A. Berrington, P. G. Burke, W. C. Fon, and K. T. Taylor, J. Phys. B15: L603 (1982).

    ADS  Google Scholar 

  88. V. Schmidt, H. Derenbach, and R. Malutzke, J. Phys. B15: L523 (1982).

    ADS  Google Scholar 

  89. D. W. Lindle etal., to be published.

    Google Scholar 

  90. D. A. Shirley etal,, AIP Conf. Proc. No. 94: 569 (1982).

    Google Scholar 

  91. P. R. Woodruff and J. A. R. Samson, Phys. Rev. Lett. 45:110 (1982); Phys. Rev. A25: 848 (1982).

    Article  ADS  Google Scholar 

  92. S. Salomonson, S. L. Carter, and H. P. Kelly, J. Phys. B, to be published.

    Google Scholar 

  93. S. L. Carter and H. P. Kelly, Phys. Rev. A24: 170 (1981).

    Article  ADS  Google Scholar 

  94. T. N. Chang and R. T. Poe, Phys. Rev. A12: 1432 (1975).

    ADS  Google Scholar 

  95. S. L. Carter and H. P. Kelly, Phys. Rev. A16: 1525 (1977).

    ADS  Google Scholar 

  96. J. M. Bizau, F. Wuilleumier, unpublished.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Physics, University of Virginia, Charlottesville, VA, 22901, USA

    Hugh P. Kelly

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  1. Hugh P. Kelly
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Editors and Affiliations

  1. University of Stirling, Stirling, UK

    H. Kleinpoppen

  2. University of Freiburg, Freiburg, Federal Republic of Germany

    J. S. Briggs

  3. University of Bielefeld, Bielefeld, Federal Republic of Germany

    H. O. Lutz

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© 1985 Plenum Press, New York

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Kelly, H.P. (1985). Many Body Calculations in Atomic Physics. In: Kleinpoppen, H., Briggs, J.S., Lutz, H.O. (eds) Fundamental Processes in Atomic Collision Physics. NATO ASI Series, vol 134. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2125-5_9

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  • DOI: https://doi.org/10.1007/978-1-4613-2125-5_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9256-2

  • Online ISBN: 978-1-4613-2125-5

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