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Treatment of the Schrödinger equation through a Monte Carlo method based upon the generalized Feynman-Kac formula

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  • Part 3. Condensed Matter Physics
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References

  1. F. Soto-Eguibar and P. Claverie, inStochastic Processes Applied to Physics and Other Related Fields, B. Gomez, S. M. Moore, A. M. Rodriguez-Vargas, and A. Rueda, eds. (World Scientific, Singapore, 1983), p. 637–649

    Google Scholar 

  2. P. Claverie and F. Soto, preprint, “Generalization of the Feynman-Kac formula for arbitrary reference operators and non Gaussian reference states: application to Monte-Carlo methods for quantum problems,” to appear.

  3. J. B. Anderson,J. Chem. Phys. 63:1499 (1975)

    Article  ADS  Google Scholar 

  4. F. Mentch and J. B. Anderson,J. Chem. Phys. 80:2675 (1984).

    Article  ADS  Google Scholar 

  5. D. M. Arnow, M. H. Kalos, M. A. Lee, and K. E. Schmidt,J. Chem. Phys. 77:5562 (1982).

    Article  ADS  Google Scholar 

  6. P. J. Reynolds, D. M. Ceperley, B. J. Alder, and N. A. Lester, Jr.,J. Chem. Phys. 77:5593 (1982).

    Article  ADS  Google Scholar 

  7. D. M. Ceperley and M. H. Kalos, inMonte-Carlo Methods in Statistical Physics, Topics in Current Physics, no. 7, K. Binder, ed. (Springer-Verlag, Berlin, 1979), p. 145–194.

    Google Scholar 

  8. K. E. Schmidt and M. H. Kalos, inMonte-Carlo Methods in Statistical Physics II, Topics in Current Physics no. 36), K. Binder, ed. (Springer-Verlag, Berlin, 1984), p. 125–143.

    Google Scholar 

  9. D. M. Ceperley,J. Comput. Phys. 51:404 (1983).

    Article  MATH  Google Scholar 

  10. D. M. Ceperley and B. J. Alder,J. Chem. Phys. 81:5833 (1984).

    Article  ADS  Google Scholar 

  11. L. F. Favella.,Ann. Inst. Henri Poincaré 7:77 (1967)

    Google Scholar 

  12. S. Albeverio, and R. Hoegh-Krohn,J. Math. Phys. 15:1745 (1974)

    Article  MATH  Google Scholar 

  13. G. Jona-Lasinio, F. Martinelli, and E. Scoppola,Phys. Rept. 77:313 (1981).

    Article  ADS  Google Scholar 

  14. E. Nelson,Phys. Rev. 150:1079 (1966).

    Article  ADS  Google Scholar 

  15. E. L. Pollock and D. M. Ceperley,Phys. Rev. B.30:2555 (1984).

    ADS  Google Scholar 

  16. P. Claverie and A. Denis, preprint, “The representation of functions through the combined use of integral transforms and Padé approximants: Padé-Laplace analysis of functions as sums of exponentials,” (1983)

  17. E. Yeramian, P. Claverie, and A. Denis, preprint, “Analysis of multiexponential functions without a hypothesis as to the number of components,” (1985), to appear.

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Authors and Affiliations

  1. Dynamique des Interactions Moléculaires, Université Pierre et Marie Curie, Paris VI, Tour 22, 4 Place Jussieu, 75230, Paris, Cedex 05, France

    Michel Caffarel & Pierre Claverie

Authors
  1. Michel Caffarel
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  2. Pierre Claverie
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Caffarel, M., Claverie, P. Treatment of the Schrödinger equation through a Monte Carlo method based upon the generalized Feynman-Kac formula. J Stat Phys 43, 797–801 (1986). https://doi.org/10.1007/BF02628305

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