Rayleigh-Schrodinger Perturbation Theory (RSPT)

  • G. A. Arteca
  • F. M. Fernández
  • E. A. Castro
Part of the Lecture Notes in Chemistry book series (LNC, volume 53)

Abstract

We devote this Section to present RSPT in a way appropriate to our specific needs. There are several alternative manners to introduce this formalism which can be found in the standard literature /1–3/.

Keywords

Schiff Allo Onic 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References of Chapter III

  1. /1/.
    E. Merzbacher, Quantum Mechanics, Wiley and Sons, New York, 1970.Google Scholar
  2. /2/.
    L.I. Schiff, Quantum Mechanics, McGraw-Hill-Kogakusha, International Student Edition, Tokyo, 1968.Google Scholar
  3. /3/.
    L.D. Landau and E.M. Lifshits, Quantum Mechanics: Non-Relativistic Theory, Pergamon, London, 1953.Google Scholar
  4. /4/.
    A. Dalgarno and J.T. Lewis, Proc. R. Soc. London Ser. A 233 (1955) 70.CrossRefGoogle Scholar
  5. /5/.
    A. Dalgarno and J.T. Lewis, Proc. Phys. Soc. A 69 (1956) 623.Google Scholar
  6. /6/.
    A. Dalgarno and A.L. Stewart, Proc. R. Soc. London Ser. A 233 (1956) 269.Google Scholar
  7. /7/.
    A. Dalgarno and A.L. Stewart, Proc. R. Soc. London Ser. A 238 (1956) 276.CrossRefGoogle Scholar
  8. /8/.
    A. Dalgarno and N. Lynn, Proc. Phys. Soc. A 70 (1957) 223.CrossRefGoogle Scholar
  9. /9/.
    /9/ A. Dalgarno and A.L. Stewart, Proc. R. Soc. London Ser. A 240 (1957) 274.CrossRefGoogle Scholar
  10. /10/.
    A. Dalgarno and J.T. Lewis, Proc. R. Soc. London Ser. A 247 (1953) 245.Google Scholar
  11. /12/.
    A. Unsöld, Z. Physik 43 (1927) 563.CrossRefGoogle Scholar
  12. /13/.
    R.J. Swenson and S.H. Danforth, J. Chem. Phys, 57 (1972) 1734CrossRefGoogle Scholar
  13. /14/.
    J. Killingbeck, Phys. Lett. A 65 (1973) 37.Google Scholar
  14. /15/.
    M.F. Marziani, J. Phys. A 17 (1934) 547.CrossRefGoogle Scholar
  15. /16/.
    C.S. Lai and H.E. Lin, J.Phys. A 15 (1932) 1495.CrossRefGoogle Scholar
  16. /17/.
    M. Grant and C.S. Lai, Phys. Rev. A 20 (1979) 718.CrossRefGoogle Scholar
  17. /18/.
    G.A. Arteca, F.M. Fernández and E.A. Castro, Phys. Lett. A 36 (1981) 133.CrossRefGoogle Scholar
  18. /19/.
    A. Requena, R. Pena and A. Serna, An. Quim. 77 (1981) 231.Google Scholar
  19. /20/.
    E.J. Austin, Molec. Phys. 40 (1980) 893.CrossRefGoogle Scholar
  20. /21/.
    C.S. Lai, Phys. Lett. A 83 (1931) 322.CrossRefGoogle Scholar
  21. /22/.
    G.A. Arteca, F.M. Fernandez and E.A. Castro, Rev. Bras. Fis. 12 (1932) 766.Google Scholar
  22. /23/.
    G.A. Arteca, F.M. Fernandez and E.A. Castro, Chem. Phys. Lett. 92 (1932) 43.CrossRefGoogle Scholar
  23. /24/.
    A. Requena, R. Pena and A. Serna, Int. J. Quantum Chem. 17 (1930) 1931.Google Scholar
  24. /25/.
    F. M. Fernandez and E.A. Castro, J. Chem. Phys. 76 (1982) 525.CrossRefGoogle Scholar
  25. /26/.
    F. M. Fernandez and E.A. Castro, J. Mol. Spectrosc. 94 (1932) 23.Google Scholar
  26. /27/.
    A. Requena, R. Pena and J. Zflniga, J. Chem. Phys. 73 (1933) 4792.Google Scholar
  27. /28/.
    F. M. Fernandez and E.A. Castro, Match 15 (1984) 133.Google Scholar
  28. /29/.
    S. A. Maluendes, F.M. Fernandez and E.A. Castro, Match 16 (1984) 95.Google Scholar
  29. /30/.
    A. Requena, R. Pena and A. Serna, Int. J. Quantum Chem. 22 (1982) 1263.CrossRefGoogle Scholar
  30. /31/.
    F.M. Fernandez and E.A. Castro, Int. J. Quantum Chem. 19 (1981) 533.CrossRefGoogle Scholar
  31. /32/.
    S.A. Maluendes, F.M. Fernández and E.A. Castro, J.Mol. Spectrosc. 100 (1983) 24.CrossRefGoogle Scholar
  32. /33/.
    S.A. Maluendes, F.M. Fernandez and E.A. Castro, Phys. Rev. A 23 (1933) 2057.Google Scholar
  33. /34/.
    F.M. Fernández and E.A. Castro, Int. J. Quantum Chem. 19 (1981)521.CrossRefGoogle Scholar
  34. /35/.
    F.M. Fernandez and E.A. Castro, Int. J. Quantum Chem. 20 (1931)623.CrossRefGoogle Scholar
  35. /37/.
    F.M. Fernandez and E.A. Castro, Phys. Lett. A 88 (1982) 4.CrossRefGoogle Scholar
  36. /38/.
    F.M. Fernandez and E.A. Castro, Phys. Lett. A 24 (1981) 2883.Google Scholar
  37. /39/.
    G.A. Arteca, S.A. Maluendes, F.M. Fernandez and E.A. Castro, Phys. Lett. Int. J. Quantum Chem. 24 (1933). 169.CrossRefGoogle Scholar
  38. /40/.
    F.M. Fernandez and E.A. Castro, J. Math. Phys. 23 (1982) 1103.CrossRefGoogle Scholar
  39. /41/.
    F.M. Fernandez and E.A. Castro, J. Chem. Phys. 76 (1982) 2506.CrossRefGoogle Scholar
  40. /42/.
    G.A. Arteca, F.M. Fernandez and E.A. Castro, Z. Physik A 303 (1932). 115.Google Scholar
  41. /43/.
    F.M. Fernández and E.A. Castro, Physica A 111 (1932) 334.CrossRefGoogle Scholar
  42. /44/.
    G.A. Arteca, F.M. Fernandez and E.A. Castro, Nuevo Cimento B 72 (1932) 246.CrossRefGoogle Scholar
  43. /45/.
    F.M. Fernandez, A.M. Mesn and E.A. Castro, J. Math. Phys. 23 (1932) 254.CrossRefGoogle Scholar
  44. /46/.
    F.M. Fernandez and E.A. Castro, Kinam 8 (1982) 193.Google Scholar
  45. /47/.
    F.M. Fernandez, G.A. Arteca, S.A. Maluendes and E.A. Castro, J. Phys. A 15 (1982) 2123.CrossRefGoogle Scholar
  46. /48/.
    C.M. Bender and T.T. Wu, Phys. Rev. 134 (1969) 1231.CrossRefGoogle Scholar
  47. /49/.
    C.M. Bender, J. Math. Phys. 11 (1970) 796.CrossRefGoogle Scholar
  48. /50/.
    C.E. Solivérez and E. Gagliano, Chem: Phys. Lett. 91 (1982) 47.CrossRefGoogle Scholar
  49. /51/.
    V.S. Polikanov, Sov. Phys.-JETP 25 (1967) 882Google Scholar
  50. /52/.
    A.I. Mukhailov and V.S. Polikanov, Sov. Phys.-JET? 27 (1963) 95Google Scholar
  51. /53/.
    A.D. Dolgov and V.S. Popov, Phys,.Lett. B 79 (1973) 403.Google Scholar
  52. /54/.
    A.D. Dolgov and V.S. Popov, Phys. Lett. B 86 (1979) 185.CrossRefGoogle Scholar
  53. /55/.
    A.D. Dolgov and V.S. Popov, Sov. Phys.-JETP 43 (1973) 1012.Google Scholar
  54. /56/.
    V.L. Eletsky and V.S. Popov, Phys.Lett. B 94 (1930) 65.Google Scholar
  55. /57/.
    S.P. Alliluev, V.L. Eletskii, V.S. Popov and V.M. Vainberg, Phys. Lett. A 78 (1980) 43.CrossRefGoogle Scholar
  56. /58/.
    S.P. Alliluev, B.L. Eletskii, V.S. Popov and V.M. Vainberg, Sov. Phys. Dokl. 25 (1980) 851.Google Scholar
  57. /59/.
    A.L. Dolgov, V.L. Eletskii and V.S. Popov, Sov. Phys.-JETP 52 (1980) 861.Google Scholar
  58. /60/.
    Y. Aharonov and C.K. Au, Phys. Rev. Lett. 42 (1979) 1582.CrossRefGoogle Scholar
  59. /61/.
    Y. Aharonov and C.K. Au, Phys. Rev. A 20 (1979) 2245.CrossRefGoogle Scholar
  60. /62/.
    C.K. Au, Phys. Lett. A 77 (1980) 221.CrossRefGoogle Scholar
  61. /63/.
    A.V. Turbiner, JETP Lett. 30 (1979) 352.Google Scholar
  62. /64/.
    A.D. Dolgov and A.V. Turbiner, Phys. Lett. A 77 (1930) 15.CrossRefGoogle Scholar
  63. /65/.
    A.V. Turbiner, Sov. Phys.-JETP 52 (1980) 363.Google Scholar
  64. /66/.
    V. Privman, Phys. Rev. A 22 (1930) 1833.CrossRefGoogle Scholar
  65. /67/.
    V. Privman, Phys. Lett. A 31 (1981) 326.CrossRefGoogle Scholar
  66. /68/.
    A.V. Turbiner, JETP Lett. 33 (1931) 173.Google Scholar
  67. /69/.
    V.M. Vainberg, V.L. Eletskii and V.S. Popov, Sov. Phys.-JETP 54 (1981) 833.Google Scholar
  68. /70/.
    A.V. Turbiner, Preprint ITEP-79, Moscow, 1982.Google Scholar
  69. /71/.
    T. Imbo and M. Sukhatme, Am. J. Phys. 52 (1984) 140.CrossRefGoogle Scholar
  70. /72/.
    F.M. Fernandez and E.A. Castro, Int. J. Quantum Chem. 26 (1984) 497CrossRefGoogle Scholar
  71. /73/.
    F.M. Fernandez and E.A. Castro, Int. J. Quantum Chem. 28 (1984) 603.CrossRefGoogle Scholar
  72. /74/.
    F.L. Pilar, Elementary Quantum Chemistry, McGraw-Hill, New York, 1963.Google Scholar
  73. /75/.
    C.K. Au, G.W. Rogers and Y. Aharonov, Phys. Lett. A 95 (1983). 237.CrossRefGoogle Scholar
  74. /76/.
    J. Cizek and E.R. Vrscay, Int. J. Quantum Chem. 21 (1982) 27.CrossRefGoogle Scholar
  75. /77/.
    B.R. Johnson, K.F. Scheibner and D. Farrelly, Phys. Rev. Lett. 51 (1933) 2230.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • G. A. Arteca
    • 1
  • F. M. Fernández
    • 1
  • E. A. Castro
    • 1
  1. 1.División Química Teórica, Instituto de Investigaciones Fisicoquímicas, Teóricas y Aplicadas (INIFTA), Facultad de Ciencias ExactasUniversidad Nacional de La PlataLa PlataArgentina

Personalised recommendations