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Use of stabilization by uniformly charged sphere for the resonance states calculations

  • Structure of Matter and Quantum Chemistry
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Abstract

The possibility of using the uniformly charged sphere with the variable charge and constant radius for accurate phase shift and resonance states parameters calculations is investigated. It is demonstrated on the example of the Hazy-Taylor model problem that the proposed numerical technique provides the relative errors about 1% for the phase shift function and resonance state parameters (energy and width). The choice of the optimal basis set for such calculations is discussed also.

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References

  1. R. E. Watson, Phys. Rev. 111, 1108 (1958).

    Article  CAS  Google Scholar 

  2. N. H. Sabelli and E. A. Gislason, J. Chem. Phys. 81, 4002 (1984).

    Article  CAS  Google Scholar 

  3. E. DeRose, E. A. Gislason, and N. H. Sabelli, J. Chem. Phys. 82, 4577 (1985).

    Article  CAS  Google Scholar 

  4. J. S.-Y. Chao, M. F. Falcetta, and K. D. Jordan, J. Chem. Phys. 93, 1125 (1990).

    Article  CAS  Google Scholar 

  5. A. F. Izmaylov, S. O. Adamson, and A. Zaitsevskii, J. Phys. B 37, 2321 (2004).

    Article  CAS  Google Scholar 

  6. A. F. Izmaylov, L. N. Shchegoleva, G. E. Scuseria, and A. Zaitsevskii, Phys. Chem. Chem. Phys. 7, 3933 (2005).

    Article  CAS  Google Scholar 

  7. C. H. Maier, L. S. Cederbaum, and W. Domcke, J. Phys. B 13, L119 (1980).

    Article  CAS  Google Scholar 

  8. R. Lefebvre, J. Phys. Chem. 89, 4201 (1985).

    Article  CAS  Google Scholar 

  9. V. A. Mandelshtam, T. R. Ravuri, and H. S. Taylor, Phys. Rev. Lett. 70, 1932 (1993).

    Article  CAS  Google Scholar 

  10. V. A. Mandelshtam, H. S. Taylor, V. Ryaboy, and N. Moiseyev, Phys. Rev. A 50, 2764 (1994).

    Article  CAS  Google Scholar 

  11. E. V. Ludena and M. Gregori, J. Chem. Phys. 71, 2235 (1979).

    Article  CAS  Google Scholar 

  12. S. Adamson, D. Kharlampidi, and A. Dementiev, J. Chem. Phys. 128, 024101 (2008).

    Article  CAS  Google Scholar 

  13. G. Bateman and A. Erdeii, Higher Transcendental Functions (McGraw-Hill, New York, 1953; Nauka, Moscow, 1973), Vol. 1, Ch. 6.

    Google Scholar 

  14. Handbook of Special Functions, Ed. by M. Abramovits and I. Stigun (Nauka, Moscow, 1979), Ch. 13 [in Russian].

    Google Scholar 

  15. A. U. Hazi and H. S. Taylor, Phys. Rev. A 1, 1109 (1970).

    Article  Google Scholar 

  16. G. Breit, Phys. Rev. 58, 506 (1940); in Handbook in Physics, Ed. by S. Flugge (Springer, Berlin, 1959), Vol. 41/1.

    Article  CAS  Google Scholar 

  17. W. J. Pong and Y. K. Ho, J. Phys. B 31, 2177 (1998).

    Article  CAS  Google Scholar 

  18. N. M. Temme, Numer. Math. 41, 63 (1983).

    Article  Google Scholar 

  19. T. Yoshida, Inf. Proc. Soc. Jpn. 36, 2335 (1995).

    Google Scholar 

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Correspondence to D. D. Kharlampidi.

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Published in Russian in Zhurnal Fizicheskoi Khimii, 2010, Vol. 84, No. 4, pp. 695–700.

The article was translated by the authors.

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Kharlampidi, D.D., Dementiev, A.I. & Adamson, S.O. Use of stabilization by uniformly charged sphere for the resonance states calculations. Russ. J. Phys. Chem. 84, 611–616 (2010). https://doi.org/10.1134/S0036024410040163

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  • DOI: https://doi.org/10.1134/S0036024410040163

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