Two particle system in spherically confined plasma environment

Regular Article
  • 86 Downloads

Abstract

Energy eigenvalues of Harmonium atom are reported for the first time under spherically confined Debye and spherically confined exponentially cosine screened coulomb potential. Energy of different states of Harmonium is analyzed as a function of confinement radius and Debye screening length. Comparison of radial matrix elements of Harmonium atom under spherically confined Debye and spherically confined exponentially cosine screened coulomb potential is done. Interesting results are obtained.

Graphical abstract

Keywords

Plasma Physics 

References

  1. 1.
    C. Amovilli, N.H. March, Phys. Rev. A 83, 0445024 (2011)CrossRefGoogle Scholar
  2. 2.
    M. Taut, J. Phys. A 27, 1045 (1994)ADSMathSciNetCrossRefGoogle Scholar
  3. 3.
    J. Karwowski, H.A. Witek, Thoer. Chem. Acc. 133, 1494 (2014)CrossRefGoogle Scholar
  4. 4.
    P.M. Laufer, J.B. Krieger,Phys. Rev. A 33, 1480 (1986)ADSCrossRefGoogle Scholar
  5. 5.
    J. Cioslowski, K. Pernal, J. Chem. Phys. 113, 8434 (2000)ADSCrossRefGoogle Scholar
  6. 6.
    D.P.O. Neil, P.M.W. Gill, Phys. Rev. A 68, 022505 (2003)ADSCrossRefGoogle Scholar
  7. 7.
    Z. Qian, V. Sahni, Phys. Rev. A 57, 2527 (1998)ADSCrossRefGoogle Scholar
  8. 8.
    C. Amovilli, N.H. March, Phys. Rev. A 67, 022509 (2003)ADSCrossRefGoogle Scholar
  9. 9.
    I. Nagy, J. Pipek, Phys. Rev. A 69, 059382 (2004)Google Scholar
  10. 10.
    V. Sahni, Quantum Density Functional Theory II: Approximation Methods and Applications (Springer, 2010)Google Scholar
  11. 11.
    P.F. Loss, Phys. Rev. A 81, 032510 (2010)ADSCrossRefGoogle Scholar
  12. 12.
    N.H. March, A. Cabo, F. Claro, G.G.N. Angillela, Phys. Rev. A 77, 042504 (2008)ADSCrossRefGoogle Scholar
  13. 13.
    B. Sun, D.L. Zhou, L. You, Phys. Rev. A 73, 012336 (2006)ADSCrossRefGoogle Scholar
  14. 14.
    J.P. Pek, J. Negy, Phys. Rev.A 79, 052801 (2009)ADSGoogle Scholar
  15. 15.
    P. Koscik, H. Hassanbadi, Few-Body Systems 52, 189 (2012)ADSCrossRefGoogle Scholar
  16. 16.
    P. Koscik, Few-Body Systems 56, 107 (2015)ADSCrossRefGoogle Scholar
  17. 17.
    M. Srednicki, Phys. Rev. Lett. 71 666 (1993)ADSMathSciNetCrossRefGoogle Scholar
  18. 18.
    J. Cioslowski, J. Chem. Phys. 139, 224108 (2013)ADSCrossRefGoogle Scholar
  19. 19.
    K.E. Fard, J.M.G. Bondia, J. Math. Chem. 50, 440 (2012)MathSciNetCrossRefGoogle Scholar
  20. 20.
    M. Taut, A. Ernst, H. Eschring, J. Phys. B 31, 2689 (1998)ADSCrossRefGoogle Scholar
  21. 21.
    M. Taut, Phys. Rev. A 48, 3561 (1993)ADSCrossRefGoogle Scholar
  22. 22.
    C.L.B. Riveros, J.M.G. Bondia, J.C. Varilly, Phys. Rev. A 86, 022525 (2012)ADSCrossRefGoogle Scholar
  23. 23.
    S. Chakraborty, Y.K. Ho, Phys. Rev. A 84, 032515 (2011)ADSCrossRefGoogle Scholar
  24. 24.
    S. Paul, Y.K. Ho, Phys. Plasmas 16, 063302 (2009)ADSCrossRefGoogle Scholar
  25. 25.
    L.B. Zha, Y.K. Ho, Phys. Plasmas 11, 4 (2004)Google Scholar
  26. 26.
    S. Lumb, S. Lumb, V. Prasad, Ind. J. Phys. 89, 13 (2014)CrossRefGoogle Scholar
  27. 27.
    C.Y. Lin, Y.K. Ho, Phys. Plasmas 19, 033301 (2016)Google Scholar
  28. 28.
    S. Lumb, S. Lumb, V. Nautiyal, Eur. Phys. J. D 69, 176 (2015)ADSCrossRefGoogle Scholar
  29. 29.
    K.D. Sen, J. Chem. Phys. 112, 19 (2005)Google Scholar
  30. 30.
    K.D. Sen, Electronic Structure of Quantum Confined Atoms and Molecules (Springer, 2014)Google Scholar
  31. 31.
    N. Aquino, J. Garza, A. Flores-Riveros, J.F. Rivas-Silve, K.D. Sen, J. Chem. Phys. 124, 054311 (2006)ADSCrossRefGoogle Scholar
  32. 32.
    Z. Jiang, S. Kar, Y.K. Ho, Phys. Plasmas 19, 033301 (2012)ADSCrossRefGoogle Scholar
  33. 33.
    M.K. Baharand, A. Soylu, Phys. Plasmas 22, 052701 (2015)ADSCrossRefGoogle Scholar
  34. 34.
    A. Ghoshal, Y.K. Ho, Phys. Scr. 83, 065301 (2011)ADSCrossRefGoogle Scholar
  35. 35.
    H.W. Li, S. Kar, P. Jiang, Int. J. Quantum Chem. 113, 1503 (2013)CrossRefGoogle Scholar
  36. 36.
    E. Aciksoz, O. Bayrak, A. Soylu, Physica B 456, 339 (2015)ADSCrossRefGoogle Scholar
  37. 37.
    A. Soylu, Phys. Plasmas 19, 072701 (2012)ADSCrossRefGoogle Scholar
  38. 38.
    D. Baye, K.D. Sen, Phys. Rev. E 78, 026701 (2008)ADSCrossRefGoogle Scholar
  39. 39.
    K.D. Sen, J. Chem. Phys. 7, 123 (2005)Google Scholar
  40. 40.
    H.E. Montgomery, K.D. Sen, Phys. Lett. A 376, 1992 (2012)ADSCrossRefGoogle Scholar
  41. 41.
    J. Karwowski, J. Mol. Struc. THEOCHEM 727, 1 (2005)CrossRefGoogle Scholar
  42. 42.
    S. Sen, P. Mandal, P.K. Mukherjee, Phys. Plasmas 19, 033501 (2012)ADSCrossRefGoogle Scholar
  43. 43.
    S. Kang, Y.C. Yang, J. He, F.Q. Xiong, N. Xu, Cent. Eur. J. Phys. 11, 584 (2013)Google Scholar
  44. 44.
    S. Lumb, S. Lumb, V. Prasad, Phys. Lett. A 379, 1263 (2015)ADSCrossRefGoogle Scholar
  45. 45.
    S. Lumb, S. Lumb, V. Prasad, Phys. Rev. A 90, 032505 (2014)ADSCrossRefGoogle Scholar
  46. 46.
    V.I. Pupyshev, H.E. Montgomery, Physica Scripta 90, 085401 (2015)ADSCrossRefGoogle Scholar
  47. 47.
    P.K. Shukla, B. Eliasson, Phys. Lett. A 372, 2897 (2008)ADSCrossRefGoogle Scholar
  48. 48.
    B. Fornberg,SIAM Rev.40, 685 (1998)ADSMathSciNetCrossRefGoogle Scholar
  49. 49.
    X.R. Wang, Phys. Rev. A 46, 7295 (1992)ADSCrossRefGoogle Scholar
  50. 50.
    R.L. Hall, Phys. Rev. A 14, 32 (1985)Google Scholar
  51. 51.
    C. Stubbins, Phys. Rev A 48, 220 (1993)ADSCrossRefGoogle Scholar
  52. 52.
    C.Y. Lin, Y.K. Ho, Eur. Phys. J. D 57, 21 (2010)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of Physics and AstrophysicsUniversity of DelhiDelhiIndia
  2. 2.Department of PhysicsSwami Shraddhanand College, University of DelhiDelhiIndia
  3. 3.School of Chemistry, University of HyderabadHyderabadIndia

Personalised recommendations