Skip to main content
SpringerLink
Log in

The ground state of the lithium atom in dense plasmas using variational Monte Carlo method

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

In this paper, the variational quantum Monte Carlo method is applied to investigate the ground state of the lithium atom. Moreover, the energy eigenvalues of the lithium atom in dense plasma are also investigated by using the Debye–Hückel model and the exponential cosine screened Coulomb potential model. The calculations are carried out by using trial wave functions in the form of the Slater determinant wave function multiplied by a correlation function due to the interaction between the electrons. Three types of correlation functions are used—with two, three and four variational parameters—one of which satisfies the well-known cusp conditions. Interesting results are obtained in comparison with results obtained by using other trial wave functions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. D Ceperley, G V Chester and M H Kalos Phys. Rev. B 16 3081 (1977)

    Article  Google Scholar 

  2. W A Lester and B L Hammond, Annu. Rev. Phys. Chem. 41 283 (1990)

    Article  ADS  Google Scholar 

  3. N Metropolis, A W Rosenbluth, M R Rosenbluth, A H Teller and E Teller J. Chem. Phys. 21 1087 (1953)

    Article  ADS  Google Scholar 

  4. S Thanos, A K Theophilou and M Tassi arXiv:1901.07811 [quant-ph] (2019)

  5. T Koga, S Watanabe, K Kanayama, R Yasuda and A J Thakkar The Journal of Chemical Physics 103 3000 (1995)

    ADS  Google Scholar 

  6. S B Doma, M O Shaker, A M Farag and F N El-Gammal J. Exp. Theor. Phys. 124 1 (2017)

    Article  ADS  Google Scholar 

  7. S B Doma and F. N. El-Gammal J. Theor. Appl. Phys. 6 1 (2012)

  8. D-R Su Chin. J. Phys. 27 157 (1989)

  9. A Nagy and V Savona Phys. Rev. Lett. 122 250501 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  10. N L Guevara, F E Harris and A V Turbiner Int. J. Quant. Chem. 109 3036 (2009)

    Article  ADS  Google Scholar 

  11. S B Doma, F N El-Gammal and A A Amer Molecular Physics 116 1827 (2018)

    ADS  Google Scholar 

  12. S B Doma, M O Shaker, A M Farag and F N El-Gammal Ind. J. Phys. 92 279 (2017)

    Google Scholar 

  13. H Margenau and M. Lewis Rev. Mod. Phys. 31 569 (1959)

  14. P K Shukla and B Eliasson Phys. Lett. A 372 2897 (2008)

    Article  ADS  Google Scholar 

  15. C Filippi and C J Umrigar J. Chem. Phys. 105 213 (1996)

    Article  ADS  Google Scholar 

  16. S Ichimaru, H Iyetomi and S Tanaka Phys. Rep. 149 91 (1987)

    Article  Google Scholar 

  17. M B Ruiz Int. J. Quant. Chem. 101 246 (2005)

  18. C Y Lin and Y K Ho Eur. Phys. J. D 57 21 (2010)

    Article  ADS  Google Scholar 

  19. M Puchalski and K Pachucki Phys Rev A 73 022503 (2006)

    Article  ADS  Google Scholar 

  20. S Larsson Phys. Rev. 169 49 (1968)

  21. A M Frolov Eur. Phys. J. D 61 571 (2011)

  22. L M Wang, Z -C Yan, H X Qiao and G W F Drake Phys. Rev. A 85 052513 (2012)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Science, Alexandria University, Alexandria, Egypt

    S. B. Doma, M. A. Abdel-Khalek & M. M. Hejazi

  2. College of Science and Humanities, Shaqra University, Shaqra, Kingdom of Saudi Arabia

    H. S. El-Gendy

Authors
  1. S. B. Doma
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. S. El-Gendy
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. A. Abdel-Khalek
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. M. M. Hejazi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. B. Doma.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Doma, S.B., El-Gendy, H.S., Abdel-Khalek, M.A. et al. The ground state of the lithium atom in dense plasmas using variational Monte Carlo method. Indian J Phys 95, 2847–2853 (2021). https://doi.org/10.1007/s12648-020-01920-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-020-01920-2

Keywords

Search

Navigation