Simple Reactions

  • Harald Friedrich
Part of the Advanced Texts in Physics book series (ADTP)

Abstract

Next to spectroscopic investigations of atoms, reactions provide one of the most important sources of information on the structure of atoms and their interactions. Reaction theory in general is a prominent and well developed field of theoretical physics [Bur77, AJ77, New82, Bra83, Joa87, Sit91] . In this chapter we shall restrict ourselves to the discussion of simple reactions which are induced by the collision of an electron with an atom or ion. In the simplest case, where we can assume the atom (or ion) to be a structureless object, this amounts to a two-body problem which can be reduced to a one-body problem for a particle with a reduced mass as described in Sect. 2.1.

Keywords

Agate Sine Eosine Dinates Dial 

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References

  1. [AJ77]
    W.O. Amraun, J.M. Jauch and K.B. Sinha, Scattering Theory in Quantum Mechanics, W.A. Benjamin, Reading (Mass.), 1977.Google Scholar
  2. [Bar83]
    G. Barton, Am. J. Phys. 51 (1983) 420.ADSCrossRefGoogle Scholar
  3. [Bar89]
    K. Bartschat, Phys. Rep. 180 (1989) 1.ADSCrossRefGoogle Scholar
  4. [Ber96]
    J. Berakdar, Phys. Rev. A 53 (1996) 2314.ADSCrossRefGoogle Scholar
  5. [BB89]
    M. Brauner, J.S. Briggs and H. Klar, J. Phys. B 22 (1989) 2265.ADSCrossRefGoogle Scholar
  6. [BF90]
    K. Blum, R. Fandreyer and D. Thompson, J. Phys. B 23 (1990) 1519.ADSCrossRefGoogle Scholar
  7. [BJ85]
    F.W. Byron, C.J. Joachain and B. Piraux, J. Phys. B 18 (1985) 3203.ADSCrossRefGoogle Scholar
  8. [BJ89]
    F.W. Byron and C.J. Joachain, Phys. Rep. 179 (1989) 211.ADSCrossRefGoogle Scholar
  9. [BK96]
    P. Balling, P. Kristensen, H.H. Andersen, U.V. Pedersen, V.V. Petrunin, L. Præstegaard, H.K. Haugen and T. Andersen, Phys. Rev. Lett. 77 (1996) 2905.ADSCrossRefGoogle Scholar
  10. [B1u81]
    K. Blum, Density Matrix Theory and Applications, Plenum Press, New York, 1981.MATHCrossRefGoogle Scholar
  11. [BM72]
    M.V. Berry and K.E. Mount, Rep. Prog. Phys. 35 (1972) 315.ADSCrossRefGoogle Scholar
  12. [BM85]
    B.H. Bransden, I.E. McCarthy, J.D. Mitroy and A.T. Stelbovics, Phys. Rev. A 32 (1985) 166.ADSCrossRefGoogle Scholar
  13. [BM88]
    K. Bartschat, R.P. McEachran and A.D. Stauffer, J. Phys. B 21 (1988) 2789.Google Scholar
  14. [BM89]
    S.J. Buckman and J. Mitroy, J. Phys. B 22 (1989) 1365.ADSCrossRefGoogle Scholar
  15. [BO97]
    J. Berakdar, P.F. O’Mahoney and F. Mota-Furtado, Z. Phys. D 39 (1997) 41.ADSCrossRefGoogle Scholar
  16. [BR95]
    J. Burgdörfer, C.O. Reinhard, J. Sternberg and J. Wang, Phys. Rev. A 51 (1995) 1248.ADSCrossRefGoogle Scholar
  17. [Bra83]
    B.H. Bransden, Atomic Collision Theory, Benjamin Cummings, Reading (Mass.), 1983.Google Scholar
  18. [BS93]
    I. Bray and A.T. Stelbovics, Phys. Rev. Lett. 70 (1993) 746.ADSCrossRefGoogle Scholar
  19. [Bur77]
    P.G. Burke, Potential Scattering in Atomic Physics, Plenum Press, New York (1977) .CrossRefGoogle Scholar
  20. [Ca178]
    J. Callaway, Phys. Rep. 45 (1978) 89.ADSCrossRefGoogle Scholar
  21. [Ca182]
    J. Callaway, Phys. Rev. A 26 (1982) 199.ADSCrossRefGoogle Scholar
  22. [Ca188]
    J. Callaway, Phys. Rev. A 37 (1988) 3692.ADSCrossRefGoogle Scholar
  23. [CI98]
    P. Chocian, W. Ihra and P.F. O’Mahony, Phys. Rev. A 57 (1998) 3583.ADSCrossRefGoogle Scholar
  24. [C079]
    J. Callaway and D.H. Oza, Phys. Lett. 72 A (1979) 207.CrossRefGoogle Scholar
  25. [CU87]
    J. Callaway, K. Unnikrishnan and D.H. Oza, Phys. Rev. A 36 (1987) 2576.ADSCrossRefGoogle Scholar
  26. [CU89]
    J. Callaway and K. Unnikrishnan, Phys. Rev. Lett. 40 (1989) 1660.ADSGoogle Scholar
  27. [EK85]
    H. Ehrhardt, G. Knoth, P. Schlemmer and K. Jung, Phys. Lett. A 110 (1985) 92ADSCrossRefGoogle Scholar
  28. [EJ86]
    H. Ehrhardt, K. Jung, G. Knoth and P. Schlemmer, Z. Phys. D 1 (1986) 3.ADSCrossRefGoogle Scholar
  29. [Fea93]
    J. Feagin, J. Phys. B 28 (1995) 1495.ADSCrossRefGoogle Scholar
  30. [FM93]
    L.D. Faddeev and S.P. Merkuriev, Quantum Scattering Theory for Several Particle Systems, Kluwer, Dordrecht, 1993.MATHGoogle Scholar
  31. [GK91]
    A. Gellrich and J. Kessler, Phys. Rev. A 43 (1991) 204.ADSCrossRefGoogle Scholar
  32. [GL93]
    X.Q. Guo and M.S. Lubell, J. Phys. B 26 (1993) 1221.ADSCrossRefGoogle Scholar
  33. [G1o83]
    W. Glöckle, The Quantum Mechanical Few-Body Problem, Springer, Berlin Heidelberg, 1983.CrossRefGoogle Scholar
  34. [HD93]
    G. Handke, M. Draeger, W. Ihra and H. Friedrich, Phys. Rev. A 48 (1993) 3699.ADSCrossRefGoogle Scholar
  35. [ID95]
    W. Ihra, M. Draeger, G. Handke and H. Friedrich, Phys. Rev. A 52 (1995) 3752.ADSCrossRefGoogle Scholar
  36. [IF92]
    W. Ihra and H. Friedrich, Phys. Rev. A 45 (1992) 5278.ADSCrossRefGoogle Scholar
  37. [IM97a]
    W. Ihra, J.H. Macek, F. Mota-Furtado and P.F. O’Mahony, Phys. Rev. Lett. 78 (1997) 4027.ADSCrossRefGoogle Scholar
  38. [IM97b]
    W. Ihra, F. Mota-Furtado and P.F. O’Mahony, Phys. Rev. A 55 (1997) 4263.ADSCrossRefGoogle Scholar
  39. [Ino71]
    M. Inokuti, Rev. Mod. Phys. 43 (1971) 297.ADSCrossRefGoogle Scholar
  40. [JH76]
    R.H. Jansen and F.J. de Heer, J. Phys. B 9 (1976) 213.ADSCrossRefGoogle Scholar
  41. [Joa87]
    C.J. Joachain, Quantum Collision Theory, North-Holland, Amsterdam, 1987.Google Scholar
  42. [Kes85]
    J. Kessler, Polarized Electrons 2nd ed., Springer, Berlin Heidelberg, 1985.CrossRefGoogle Scholar
  43. [Kes91]
    J. Kessler, Adv. At. Mol. Opt. Phys. 27, ed. Sir David R. Bates (1991) 81.ADSCrossRefGoogle Scholar
  44. [K1a81]
    H. Klar, J. Phys. B 14 (1981) 3255.ADSCrossRefGoogle Scholar
  45. [KS76]
    H. Klar and W. Schlecht, J. Phys B 9 (1976) 1699.ADSCrossRefGoogle Scholar
  46. [LL71]
    L.D. Landau and L.M. Lifshitz, Course of Theoretical Physics, vol. 1, Mechanics, Addison-Wesley, Reading, 1971.Google Scholar
  47. [LM84]
    B. Lohmann, I.E. McCarthy, A.T. Stelbovics and E. Weigold, Phys. Rev. A 30 (1984) 758.ADSCrossRefGoogle Scholar
  48. [MC68]
    J.W. McGowan and E.M. Clarke, Phys. Rev. 167 (1968) 43.ADSCrossRefGoogle Scholar
  49. [Mes70]
    A. Messiah, Quantum Mechanics vol. 1, Chap. 10, North Holland, Amsterdam, 1970.Google Scholar
  50. [MI97]
    J.H. Macek and W. Ihra, Phys. Rev. A 55 (1997) 2024.ADSCrossRefGoogle Scholar
  51. [MW76]
    I.E. McCarthy and E. Weigold, Phys. Rep. 27 (1976) 275.ADSCrossRefGoogle Scholar
  52. [MW88]
    I.E. McCarthy and E. Weigold, Rep. Prog. Phys. 51 (1988) 299.ADSCrossRefGoogle Scholar
  53. [MW91a]
    I.E. McCarthy and E. Weigold, Adv. At. Mol. Opt. Phys. 27, ed. Sir David R. Bates (1991) 165.ADSCrossRefGoogle Scholar
  54. [MW91b]
    I.E. McCarthy and E. Weigold, Adv. At. Mol. Opt. Phys. 27, ed. Sir David R. Bates (1991) 201.ADSCrossRefGoogle Scholar
  55. [Nes80]
    R.K. Nesbet, Variational Methods in Electron Scattering Theory, Plenum Press, New York, 1980.CrossRefGoogle Scholar
  56. [New82]
    R.G. Newton, Scattering Theory of Waves and Particles, Springer, Berlin Heidelberg, 1982.MATHGoogle Scholar
  57. [OL83]
    J.K. O’Connell and N.F. Lane, Phys. Rev. A 27 (1983) 1893.ADSCrossRefGoogle Scholar
  58. [OR62]
    T.F. O’Malley, L. Rosenberg and L. Spruch, Phys. Rev. 125 (1962) 1300.MathSciNetADSCrossRefGoogle Scholar
  59. [PF98]
    T. Purr, H. Friedrich and A.T. Stelbovics, Phys. Rev. A 57 (1998) 308;ADSCrossRefGoogle Scholar
  60. [PF98a]
    T. Purr and H. Friedrich, Phys. Rev. A 57 (1998) 4279.ADSCrossRefGoogle Scholar
  61. [Poe78]
    R. Poet, J. Phys. B 11 (1978) 3081.ADSCrossRefGoogle Scholar
  62. [Ros94]
    J.-M. Rost, Phys. Rev. Lett. 72 (1994) 1998.ADSCrossRefGoogle Scholar
  63. [RT84]
    D.F. Register, S. Trajmar, Phys. Rev. A 29 (1984) 1785;ADSCrossRefGoogle Scholar
  64. [RT84a]
    D.F. Register, S. Trajmar, G. Steffensen and D.C. Cartwright, Phys. Rev. A 29 (1984) 1793.ADSCrossRefGoogle Scholar
  65. [Rud68]
    M.R.H. Rudge, Rev. Mod. Phys. 40 (1968) 564.ADSCrossRefGoogle Scholar
  66. [SE87]
    M.B. Shah, D.S. Elliott and H.B. Gilbody, J. Phys. B 20 (1987) 3501.ADSCrossRefGoogle Scholar
  67. [Sit91]
    A.G. Sitenko, Scattering Theory, Springer Ser. Nucl. Part. Phys., Springer, Berlin Heidelberg, 1991.CrossRefGoogle Scholar
  68. [S589]
    M.P. Scott, T.T. Scholz, H.R.J. Walters and P.G. Burke, J. Phys. B 22 (1989) 3055.ADSCrossRefGoogle Scholar
  69. [SW90]
    T.T. Scholz, H.R.J. Walters and P.G. Burke, J. Phys. B 23 (1990) L467.ADSCrossRefGoogle Scholar
  70. [Swa55]
    P. Swan, Proc. Roy. Soc. 228 (1955) 10.ADSMATHCrossRefGoogle Scholar
  71. [Szm90]
    R. Szmytkowski, Fizika 22 (1990) 481.Google Scholar
  72. [SZ95]
    A. Stintz, X.M. Zhao, C.E.M. Strauss, W.B. Ingalls, G.A. Kyrala, D.J. Funk and H.C. Bryant, Phys. Rev. Lett. 75 (1995) 2924.ADSCrossRefGoogle Scholar
  73. [Tem62]
    A. Temkin, Phys. Rev. 126 (1962) 130.MathSciNetADSMATHCrossRefGoogle Scholar
  74. [Tem91]
    A. Temkin, J. Phys. B 24 (1991) 2147.ADSCrossRefGoogle Scholar
  75. [TP71]
    R.R. Teachout and R.T. Pack, At. Data 3 (1971) 195.ADSCrossRefGoogle Scholar
  76. [Wan53]
    G.H. Wannier, Phys. Rev. 90 (1953) 817.ADSMATHCrossRefGoogle Scholar
  77. [WC75]
    J.F. Williams and A. Crowe, J. Phys. B 8 (1975) 2233.ADSCrossRefGoogle Scholar
  78. [Wi176]
    J.F. Williams, J. Phys. B 9 (1976) 1519.ADSCrossRefGoogle Scholar
  79. [Wil79]
    J.F. Williams, J. Phys. B 12 (1979) 265.ADSCrossRefGoogle Scholar
  80. [Wil88]
    J.F. Williams, J. Phys. B 21 (1988) 2107.ADSCrossRefGoogle Scholar
  81. [WR90]
    C.D. Warner, R.M. Rutter and G.C. King, J. Phys. B 23 (1990) 93.ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Harald Friedrich
    • 1
  1. 1.Physik-DepartmentTechnische Universität MünchenGarchingGermany

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