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Evaluation of correlation functions and wave-functions of the Gaussian random potentials by numerical shooting method

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Abstract

In this paper, we apply a simple numerical method for evaluating a correlation function of atomic density fluctuation under Gaussian random potentials. Instead of using the 6-points kernel, averaged over disorders, we use the numerical shooting method for solving the Schrödinger equation of this quantum system and directly calculate the correlation function from these solutions. Since our approach does not use complicated formulas, it requires much less computational effort when compared to Green function techniques. Finally, we show results of calculations for setting each of parameters of Gaussian random potentials.

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References

  1. G.A. Dobrovolsky, R.S. Tutik, J. Phys. A Math. Gen. 33, 6593 (2000)

    Article  Google Scholar 

  2. M.I. Jaghob, Eur. Phys. J. A 27, 99 (2006)

    Article  Google Scholar 

  3. E.Z. Liverts, V.B. Mandelzweig, Ann. Phys. 322, 2211 (2007)

    Article  CAS  Google Scholar 

  4. N. Saad et al., J. Phys. A Math. Gen. 39, 7745 (2006)

    Article  Google Scholar 

  5. M.C. Zhang, Chin. Phys. B 17, 3214 (2008)

    Article  CAS  Google Scholar 

  6. M.C. Zhang, Z.B. Wang, Chin. Phys. 16, 1863 (2007)

    Article  Google Scholar 

  7. C.R. Handy et al., J. Phys. A Math. Gen. 26, 2635 (1993)

    Article  Google Scholar 

  8. Z. Cao, Phys. Rev. A 63, 054103–054106 (2001)

    Article  Google Scholar 

  9. A. Hutem, C. Sricheewin, Eur. J. Phys. 29, 577 (2008)

    Article  Google Scholar 

  10. H. Ying et al., Chin. Phys. B 19, 040306 (2010)

    Article  Google Scholar 

  11. S. Boonchui, A. Hutem, J. Math. Chem. 50, 2103 (2012)

    Article  CAS  Google Scholar 

  12. R. Grobe et al., J. Phys. B At. Mol. Opt. Phys. 27, 503 (1994)

    Article  Google Scholar 

  13. J.E. Lye et al., Phys. Rev. Lett. 95, 070401 (2005)

    Article  CAS  Google Scholar 

  14. P. Henseler, B. Shapiro, Phys. Rev. A 77, 033624 (2008)

    Article  Google Scholar 

  15. N. Cherroret, S.E. Skipetrov, Phys. Rev. Lett. 101, 190406 (2008)

    Article  CAS  Google Scholar 

  16. N. Cherroret, S.E. Skipetrov, Phys. Rev. A 79, 063604 (2009)

    Article  Google Scholar 

  17. B. Shapiro et al., Phys. Rev. A 81, 033612 (2010)

    Article  Google Scholar 

  18. L. Pezze et al., New J. Phys. 13, 095015 (2011)

    Article  Google Scholar 

  19. A. Asaithambi, Appl. Math. Comp. 215, 4400 (2010)

    Article  Google Scholar 

  20. J. Killingbeck, J. Phys. A Math. Gen. 20, 1411 (1987)

    Article  Google Scholar 

  21. V. Ledoux, M. Van Daele, Comp. Phys. Comm. 184, 1287 (2013)

    Article  CAS  Google Scholar 

  22. S. Boonchui, A. Hutem, J. Math. Chem. 50, 1582 (2012)

    Article  CAS  Google Scholar 

  23. D.B. Rogozkin, M.Y. Cherkasov, Phys. Rev. B 51, 12256 (1995)

    Article  CAS  Google Scholar 

Download references

Acknowledgments

S. Boonchui would like to thank the Graduate School and the Faculty of Science at Kasetsart University for support. A. Hutem wish to thank Research and Development Institute, Physics Division, Faculty of Science and Technology Phetchabun Rajabhat University, Thailand.

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Authors and Affiliations

  1. Physics Division, Faculty of Science and Technology, Phetchabun Rajabhat University, Phetchabun , 67000, Thailand

    Artit Hutem

  2. Department of Physics, Faculty of Science, Kasetsart University, Bangkok , 10900, Thailand

    Sutee Boonchui

  3. Center of Excellence in Forum for Theoretical Science, Chulalongkorn University, Bangkok , 10330, Thailand

    Sutee Boonchui

Authors
  1. Artit Hutem
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  2. Sutee Boonchui
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Correspondence to Sutee Boonchui.

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Hutem, A., Boonchui, S. Evaluation of correlation functions and wave-functions of the Gaussian random potentials by numerical shooting method. J Math Chem 52, 1968–1977 (2014). https://doi.org/10.1007/s10910-014-0359-4

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  • DOI: https://doi.org/10.1007/s10910-014-0359-4

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