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A practical iterative method in time-independent perturbation theory

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Il Nuovo Cimento B (1971-1996)

Summary

A simple iterative method to calculate energies and wave functions of a time-independent perturbed system is presented. Its explicit series has less terms than the Rayleigh-Schrödinger ones and a better convergence. These series have been tested for some simple examples leading to encouraging results.

Riassunto

Si presenta un semplice metodo iterativo per calcolare energie e funzioni d’onda di un sistema perturbato indipendente dal tempo. La sua serie epicita ha, termini infetiori a quelli di Rayleigh-Schrödinger ed una miglior convergenza. Queste serie sono state controllate per alcuni semplici esempi che portano a risultati incoragginati.

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References

  1. E. Schrödinger:Ann. Phys. (Leipzig),80, 437 (1926).

    Article  MATH  Google Scholar 

  2. A. Dalgarno: inQuantum Theory, Vol.1, edited byD. R. Bates (Academic Press, New York, N. Y., 1961).

    Google Scholar 

  3. J. Killinbeck:Rep. Prog. Phys.,40, 963 (1977).

    Article  ADS  Google Scholar 

  4. P. M. Morse andH. Feshbach:Methods of Theoretical Physics (McGraw-Hill, New York, N. Y., 1953), Part. 2.

    MATH  Google Scholar 

  5. E. Durand:Mécanique quantique (Masson, Paris, 1970).

    Google Scholar 

  6. C. W. Allen:J. Chem. Phys.,78, 285 (1983).

    Article  ADS  Google Scholar 

  7. C. M. Bender andT. T. Wu:Phys. Rev.,184, 1231 (1969).

    Article  MathSciNet  ADS  Google Scholar 

  8. J. Laane:Appl. Spectrosc.,24, 73 (1970).

    Article  ADS  Google Scholar 

  9. S. N. Biswass, K. Datta, R. P. Saxena, P. K. Srivastra andV. S. Varma:Phys. Rev. D,4, 3617 (1971).

    Article  ADS  Google Scholar 

  10. J. Laane:Q. Rev. Chem. Soc.,25, 533 (1971).

    Article  Google Scholar 

  11. B. Simon:Ann. Phys. (N.Y.),58, 76 (1970).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Departmento de Química Física, Facultad de Ciencias, Universidad del País Vasco, Apartado 644, 48080, Bilbao, Spain

    F. Castaño, L. Laín, M. N. Sanchez & A. Torre

Authors
  1. F. Castaño
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  2. L. Laín
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  3. M. N. Sanchez
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  4. A. Torre
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Castaño, F., Laín, L., Sanchez, M.N. et al. A practical iterative method in time-independent perturbation theory. Nuov Cim B 86, 83–89 (1985). https://doi.org/10.1007/BF02732274

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  • DOI: https://doi.org/10.1007/BF02732274

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