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Quantum Monte Carlo Simulations: An Introduction

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Monte Carlo Simulation in Statistical Physics

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 80))

Abstract

To be specific, let us consider for the moment the problem of N atoms in a volume V at temperature T, and we wish to calculate the average of some observable A which in quantum mechanics is described by an operator Â.

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References

  1. C. Rickwardt, P. Nielaba, K. Binder, M. Müser: Phys. Rev. B 63, 045204 (2001)

    Google Scholar 

  2. P. Nielaba: In Annual Reviews of Computational Physics V,ed. by D. Stauffer (World Scientific, Singapore 1997) P. 137

    Google Scholar 

  3. R. Martonak, W. Paul, K. Binder: Phys. Rev. E 57, 2425 (1998)

    Article  ADS  Google Scholar 

  4. D. Marx, H. Wiechert: Adv. Chem. Phys. 95, 213 (1996)

    Article  Google Scholar 

  5. D. Marx, O. Opitz, P. Nielaba, K. Binder: Phys. Rev. Lett. 79, 2908 (1993)

    Article  ADS  Google Scholar 

  6. R.P. Feynman, A.R. Hibbs: Quantum Mechanics and Path Integrals ( McGraw-Hill, New York 1965 )

    MATH  Google Scholar 

  7. H.F. Trotter: Proc. Am. Math. Soc. 10, 545 (1959)

    Article  MathSciNet  MATH  Google Scholar 

  8. M. Suzuki: Progr. Theor. Phys. 46, 1337 (1971)

    Article  ADS  MATH  Google Scholar 

  9. B.J. Berne, D. Thirumalai: Ann. Rev. Phys. Chem. 37, 401 (1986)

    Article  ADS  Google Scholar 

  10. J.D. Doll, J.E. Gubernatis (eds.): Quantum Simulations ( World Scientific, Singapore 1990 )

    Google Scholar 

  11. D.M. Ceperley: Rev. Mod. Phys. 67, 279 (1995)

    Article  ADS  Google Scholar 

  12. D.M. Ceperley: In Monte Carlo and Molecular Dynamics of Condensed Matter Systems, ed. by K. Binder, G. Ciccotti ( Società Italiana di Fisica, Bologna 1996 ), p. 445

    Google Scholar 

  13. M.H. Müser, P. Nielaba, K. Binder: Phys. Rev. B 51, 2723 (1995)

    Article  ADS  Google Scholar 

  14. D.N. Batchelder, D.L. Losee, R.O. Simmons: Phys. Rev. 73, 873 (1966)

    Google Scholar 

  15. R.P. Feynman: Phys. Rev. 90, 1116 (1953);

    Article  MathSciNet  ADS  Google Scholar 

  16. R.P. Feynman: Phys. Rev. 91, 1291, 1301 (1953)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. M. Suzuki (ed.): Quantum Monte Carlo Methods ( Springer, Berlin, Heidelberg, New York 1986 )

    Google Scholar 

  18. M. Suzuki (ed.): Quantum Monte Carlo Methods in Condensed Matter Physics ( World Scientific, Singapore 1992 )

    Google Scholar 

  19. H. de Raedt, W. von der Linden: In The Monte Carlo Method in Condensed Matter Physics, ed. by K. Binder ( Springer, Berlin, Heidelberg, New York 1992 ) p. 249

    Google Scholar 

  20. M. Suzuki: Commun. Math. Phys. 51, 183 (1976)

    Article  ADS  MATH  Google Scholar 

  21. H. de Raedt, A. Lagendijk: Phys. Rept. 127, 233 (1985)

    Article  ADS  Google Scholar 

  22. M. Suzuki: Progr. Theor. Phys. 56, 1454 (1976)

    Article  ADS  MATH  Google Scholar 

  23. M. Barma, B.S. Shastry: Phys. Rev. B 18, 3351 (1978)

    Article  ADS  Google Scholar 

  24. D.P. Landau, K. Binder: A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge University Press, Cambridge 2000) Chap. 8

    Google Scholar 

  25. J.E. Hirsch, R.L. Sugar, D.J. Scalapino, R. Blancenbecler: Phys. Rev. B 26, 5033 (1982)

    Article  ADS  Google Scholar 

  26. J. Hubbard: Proc. Roy. Soc. A 276, 238 (1963)

    Article  ADS  Google Scholar 

  27. J.E. Hirsch: Phys. Rev. B 28, 4059 (1983)

    Article  ADS  Google Scholar 

  28. J.E. Hirsch: Phys. Rev. B 31, 4403 (1985)

    Article  ADS  Google Scholar 

  29. J.E. Gubernatis, N. Kawashima: In Monte Carlo and Molecular Dynamics of Condensed Matter Systems, ed. by K. Binder, G. Ciccotti ( Società Italiana di Fisica, Bologna 1996 ) p. 519

    Google Scholar 

  30. D. Marx, M.H. Müser: J. Phys.: Condens. Matter 11, R117 (1999)

    Article  ADS  Google Scholar 

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Binder, K., Heermann, D.W. (2002). Quantum Monte Carlo Simulations: An Introduction. In: Monte Carlo Simulation in Statistical Physics. Springer Series in Solid-State Sciences, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04685-2_5

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  • DOI: https://doi.org/10.1007/978-3-662-04685-2_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07746-3

  • Online ISBN: 978-3-662-04685-2

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