The T-Matrix Method in Electron-Molecule Scattering

  • A. W. Fliflet


The current need for the development of accurate ab-initio methods for electron-molecule scattering calculations, and the difficulty of applying numerical methods, has lead to renewed interest in discrete-basis-set methods. The application of discrete-basisset methods is further suggested by the success of these methods in molecular bound state calculations. Although the standard albegraic variational methods of Hulthen,1 Kohn,2 and Rubinow3 have been studied extensively for electron-atom collisions, serious technical difficulties have delayed application of these methods to electron-molecule collision processes. Recently, several other discrete-basis-set methods have been studied which seem better suited to electron-molecule scattering. These methods avoid or minimize the need to compute free-free and bound-free interaction matrix elements since these are difficult to evaluate in the absence of spherical symmetry. The new methods also appear to be free from the spurious resonances which occur in the standard variational methods.


Matrix Element Differential Cross Section Schrodinger Equation Integrate Cross Section Spurious Pole 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    L. Hulthen, K. Fysiograf, Selsk. Lund. Forh. 14, 257 (1944).Google Scholar
  2. 2.
    W. Kohn, Phys. Rev. 74, 1763 (1948).CrossRefGoogle Scholar
  3. 3.
    S. I. Rubinow, Phys. Rev. 98, 183 (1955).CrossRefGoogle Scholar
  4. 4.
    E. J. Heller and H. A. Yamani, Phys. Rev. A9, 1201 (1974).CrossRefGoogle Scholar
  5. 5.
    T. N. Rescigno, C. W. McCurdy, and V. McKoy, Chem. Phys. Lett. 27, 401 (1974);Google Scholar
  6. T. N. Rescigno, C. W. McCurdy, and V. McKoy, Phys. Rev. A 10, 2240 (1974);CrossRefGoogle Scholar
  7. T. N. Rescigno, C. W. McCurdy, and V. McKoy, Phys. Rev. 11, 825 (1975).CrossRefGoogle Scholar
  8. 6.
    N. S. Ostlund, Chem. Phys. Lett. 34, 419 (1975).CrossRefGoogle Scholar
  9. 7.
    D. A. Levin, A. W. Fliflet, M. Ma, and V. McKoy, J. Comp. Phys. 28, 416 (1978).CrossRefGoogle Scholar
  10. 8.
    W. Gautschi, SIAM J. Num. Anal. 7, 187 (1970).Google Scholar
  11. 9.
    A. W. Fliflet, D. A. Levin, M. Ma, and V. McKoy, Phys. Rev. A 17, 160 (1978).CrossRefGoogle Scholar
  12. 10.
    A. W. Fliflet and V. McKoy, Phys. Rev. A 18, 2107 (1978).CrossRefGoogle Scholar
  13. 11.
    A. W. Fliflet and V.McKoy, “Distorted-wave approximation cross sections for excitation of the b 3Eu and B’Eû state of H2 by low-energy electron impact. Submitted to Phys. Rev. A.Google Scholar
  14. 12.
    A. W. Fliflet and V. McKoy, Phys. Rev. A 18, 1048 (1978).CrossRefGoogle Scholar
  15. 13.
    C. Schwarz, Phys. Rev. 124, 1468 (1961).CrossRefGoogle Scholar
  16. 14.
    D. G. Truhlar, T. Abdallah, and R. L. Smith, in Advances in Chemical Physics, Vol. 25, edited by I. Prigogine and S. A. Rice ( Wiley, New York, 1974 ), p. 211.CrossRefGoogle Scholar
  17. 15.
    F. H. M. Faisal, J. Phys. B 3, 636 (1970).CrossRefGoogle Scholar
  18. 16.
    P. G. Burke and A. L. Sinfailam, J. Phys. B 3, 641 (1970).CrossRefGoogle Scholar
  19. 17.
    B. I. Schneider, Phys. Rev. A 11, 1957 (1975).CrossRefGoogle Scholar
  20. 18.
    J. C. Tully and R. S. Berry, J. Chem. Phys. 51, 2056 (1969).CrossRefGoogle Scholar
  21. 19.
    T. N. Rescigno, C. W. McCurdy, Jr., and V. McKoy, J. Phys. B 7, 7396 (1974).CrossRefGoogle Scholar
  22. 20.
    J. R. Taylor, Scattering Theory ( Wiley, New York, 1972 ) p. 418.Google Scholar
  23. 21.
    C. W. McCurdy, Jr., T. N. Rescigno, D. L. Yeager, and V. McKoy, Modern Theoretical Chemistry 3, ed. by H. F. Schaefer III. ( Plenum, New York, 1977 ), p. 339.Google Scholar
  24. 22.
    G. Csanak, H. S. Taylor, and R. Yaris, Phys. Rev. A 3, 1322 (1971);CrossRefGoogle Scholar
  25. G. Csanak, H. S. Taylor, and D. N. Tripathy, J. Phys. B 6, 2040 (1973).CrossRefGoogle Scholar
  26. 23.
    H. P. Kelly, Phys. Rev. 136, B896 (1964).CrossRefGoogle Scholar
  27. 24.
    A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University, Princeton, 1960 ).Google Scholar
  28. 25.
    R. G. Newton, Scattering Theory of Waves and Particles ( McGraw-Hill, New York, 1966 ) p. 191.Google Scholar
  29. 26.
    S. K. Srivastava and S. Jensen, J. Phys. B 10, 3341 (1977).CrossRefGoogle Scholar
  30. 27.
    S. Chung and C. C. Lin, Phys. Rev. A17, 1874 (1978).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1979

Authors and Affiliations

  • A. W. Fliflet
    • 1
  1. 1.A. A. Noyes Laboratory of Chemical PhysicsCalifornia Institute of TechnologyPasadenaUSA

Personalised recommendations