The hydrogen atom confined in both Debye screening potential and impenetrable spherical box

• Authors: Shuai Kang , You-Chang Yang , Juan He , Fei-Qiao Xiong , Ning Xu
• Languages of publication: EN

Abstracts

EN

The ground state energy, some low-lying excited state energies and oscillator strengths for a hydrogen atom confined in both a Debye screening potential and finite impenetrable spherical box have been calculated. These have been calculated using a linear variational method based on B-spline basis functions. The results have been compared with those of other authors. The evaluated energies and oscillator strengths with respect to different plasma screening parameters with a certain confinement radii are discussed.

Keywords

EN

hydrogen atom; Debye screening potential; oscillator strengths

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 5
• Pages: 584-593

Dates

published

1 - 5 - 2013

online

28 - 7 - 2013

Contributors

author

Shuai Kang

author

You-Chang Yang

• School of Physics and Mechanical & Electrical Engineering, Zunyi Normal College, Zunyi, 563002, China

author

Juan He

• School of Physics and Mechanical & Electrical Engineering, Zunyi Normal College, Zunyi, 563002, China

author

Fei-Qiao Xiong

• School of Physics and Mechanical & Electrical Engineering, Zunyi Normal College, Zunyi, 563002, China

author

Ning Xu

• School of Physics and Mechanical & Electrical Engineering, Zunyi Normal College, Zunyi, 563002, China

References

• [1] F.J. Rogers, H.C. Grabsoke, Jr., D.J. Harwood, Phys. Rev. A 1, 1577 (1970) http://dx.doi.org/10.1103/PhysRevA.1.1577[Crossref]
• [2] M. Tabak, et al., Phys. Plasmas 1, 1626 (1994) http://dx.doi.org/10.1063/1.870664[Crossref]
• [3] Z. Wang, P. Winkler, Phys. Rev. A 52, 216 (1995) http://dx.doi.org/10.1103/PhysRevA.52.216[Crossref]
• [4] C.S. Lam, Y.P. Varshni, Phys. Rev. A 27, 418 (1983) http://dx.doi.org/10.1103/PhysRevA.27.418[Crossref]
• [5] P. Winkler, Phys. Rev. E 53, 5517 (1996) http://dx.doi.org/10.1103/PhysRevE.53.5517[Crossref]
• [6] B. Saha, T.K. Mukherjee, P.K. Mukherjee, G.H.F. Diercksen, Theor. Chem. Acc. 108, 305 (2002) http://dx.doi.org/10.1007/s00214-002-0389-z[Crossref]
• [7] B. Saha, T.K. Mukherjee, P.K. Mukherjee, Chem. Phys. Lett. 373, 218 (2003) http://dx.doi.org/10.1016/S0009-2614(03)00619-5[Crossref]
• [8] P.K. Mukherjee, S. Fritzsche, B. Fricke, Phys. Lett. A 360, 287 (2006) http://dx.doi.org/10.1016/j.physleta.2006.08.031[Crossref]
• [9] A.N. Sil, P.K. Mukherjee, Int. J. Quantum Chem. 102, 1061 (2004) http://dx.doi.org/10.1002/qua.20423[Crossref]
• [10] S. Nakai, K. Mima, Rep. Prog. Phys. 67, 321 (2004) http://dx.doi.org/10.1088/0034-4885/67/3/R04[Crossref]
• [11] S. Kar, Y.K. Ho, Phys. Rev. A 71, 052503 (2005) http://dx.doi.org/10.1103/PhysRevA.71.052503[Crossref]
• [12] H. Okutsu, T. Sako, K. Yamanouchi, G.H.F. Diercksen, J. Phys. B 38, 917 (2005) http://dx.doi.org/10.1088/0953-4075/38/7/012[Crossref]
• [13] S. Kar, Y.K. Ho, Phys. Rev. E 70, 066411 (2004) http://dx.doi.org/10.1103/PhysRevE.70.066411[Crossref]
• [14] S. Kar, Y.K. Ho, Int. J. Quantum Chem. 106, 814 (2006) http://dx.doi.org/10.1002/qua.20822[Crossref]
• [15] S. Kar, Y.K. Ho, New J. Phys. 7, 141 (2005) http://dx.doi.org/10.1088/1367-2630/7/1/141[Crossref]
• [16] D. Ray, P.K. Mukherjee, Eur. Phys. J. D 2, 89 (1998) http://dx.doi.org/10.1007/s100530050116[Crossref]
• [17] D. Ray, P.K. Mukherjee, J. Phys. B, At. Mol. Opt. Phys. 31, 3479 (1998) http://dx.doi.org/10.1088/0953-4075/31/15/019[Crossref]
• [18] B. Saha, P.K. Mukherjee, G.H.F. Diercksen, Astron. Astroph. 396, 337 (2002) http://dx.doi.org/10.1051/0004-6361:20021350[Crossref]
• [19] Z. Jiang, S. Kar, Y. K. Ho, Phys. Rev. A 84, 012504 (2011) http://dx.doi.org/10.1103/PhysRevA.84.012504[Crossref]
• [20] A.N. Sil, S. Canuto, P.K. Mukherjee, Adv. Quant. Chem. 58, 115 (2009) http://dx.doi.org/10.1016/S0065-3276(09)00708-4[Crossref]
• [21] S. Sen, P. Mandal, P.K. Mukherjee, Phys. Plasmas 19, 033501 (2012) http://dx.doi.org/10.1063/1.3688874[Crossref]
• [22] Y.Y. Qi, J.G. Wang, R.K. Janev, Phys. Rev. A 80, 032502 (2009) http://dx.doi.org/10.1103/PhysRevA.80.032502[Crossref]
• [23] Lj. Stevanovic, J. Phys. B: At. Mol. Opt. Phys. 43, 165002 (2010) http://dx.doi.org/10.1088/0953-4075/43/16/165002[Crossref]
• [24] H.W. Li, S. Kar, Phys. Plasmas 19, 073303 (2012) http://dx.doi.org/10.1063/1.4739229[Crossref]
• [25] L.B. Zhao, Y.K. Ho, Phys. Plasmas 4, 1965 (2004)
• [26] C. Stubbins, Phys. Rev. A 48, 220 (1993) http://dx.doi.org/10.1103/PhysRevA.48.220[Crossref]
• [27] B.L. Whitten, N.F. Lane, J.C. Weisheit, Phys. Rev. A 29, 945 (1984) http://dx.doi.org/10.1103/PhysRevA.29.945[Crossref]
• [28] J.-S. Yoon, Y.-D. Jung, Phys. Plasmas 3, 3291 (1996) http://dx.doi.org/10.1063/1.871596[Crossref]
• [29] Y.-D. Jung, Phys. Plasmas 5, 3781 (1998) http://dx.doi.org/10.1063/1.872742[Crossref]
• [30] Y.P. Varshni, J. Phys. B: At. Mol. Opt. Phys. 30, L589 (1997) http://dx.doi.org/10.1088/0953-4075/30/18/001[Crossref]
• [31] Y.P. Varshni, J. Phys. B: At. Mol. Opt. Phys. 31, 2849 (1998) http://dx.doi.org/10.1088/0953-4075/31/13/005[Crossref]
• [32] M.J. Seaton, J. Phys. B 20, 6363 (1987) http://dx.doi.org/10.1088/0022-3700/20/23/026[Crossref]
• [33] A. Michels, J. de Boer, A. Bijl Physica 4, 981 (1937) [Crossref]
• [34] A. Sommerfeld, H. Welker, Ann. Phys., Lpz. 32, 56 (1938) http://dx.doi.org/10.1002/andp.19384240109[Crossref]
• [35] C. Laughlin, J. Phys. B: At. Mol. Opt. Phys. 37, 4085 (2004) http://dx.doi.org/10.1088/0953-4075/37/20/004[Crossref]
• [36] E.V. Ludena, J. Chem. Phys. 66, 468 (1977) http://dx.doi.org/10.1063/1.433964[Crossref]
• [37] E.V. Ludena, J. Chem. Phys. 69, 1770 (1978) http://dx.doi.org/10.1063/1.436710[Crossref]
• [38] E. Ley-Koo, S. Rubinstein, J. Chem. Phys. 71, 351 (1979) http://dx.doi.org/10.1063/1.438077[Crossref]
• [39] P.W. Fowler, Mol. Phys. 53, 865 (2002) http://dx.doi.org/10.1080/00268978400102701[Crossref]
• [40] H.E. Montgomery, Chem. Phys. Lett. 352, 529 (1984) http://dx.doi.org/10.1016/S0009-2614(01)01503-2[Crossref]
• [41] J.L. Marin, S.A. Cruz, Am. J. Phys. 59, 931 (1991) http://dx.doi.org/10.1119/1.16674[Crossref]
• [42] S. Goldman, C. Joslin, J. Phys. Chem. 96, 6021 (1992) http://dx.doi.org/10.1021/j100193a069[Crossref]
• [43] N. Aquino, Int. J. Quantum Chem. 54, 107 (1995) http://dx.doi.org/10.1002/qua.560540206[Crossref]
• [44] J.L. Zhu, J. Wu, R.T. Fu, H. Chen, Y. Kawazoe, Phys. Rev.B 55, 1673 (1997) http://dx.doi.org/10.1103/PhysRevB.55.1673[Crossref]
• [45] T. Sako, G.H.F. Diercksen, J. Phys. B: At. Mol. Opt. Phys. 36, 3743 (2003) http://dx.doi.org/10.1088/0953-4075/36/18/304[Crossref]
• [46] T. Sako, S. Yamamoto, G.H.F. Diercksen, J. Phys. B: At. Mol. Opt. Phys. 37, 1673 (2004) http://dx.doi.org/10.1088/0953-4075/37/8/009[Crossref]
• [47] S. Kang, Y.M. Liu, T.Y. Shi, Eur. Phys. J. B 63, 37 (2008) http://dx.doi.org/10.1140/epjb/e2008-00209-7[Crossref]
• [48] T.Y. Shi, C.G. Bao, B.W. Li, Commun. Theor. Phys. 35, 195 (2001)
• [49] T. Y. Shi, H.X. Qiao, B.W. Li, J. Phys. B: At. Mol. Opt. Phys. 33, L349 (2000) http://dx.doi.org/10.1088/0953-4075/33/9/106[Crossref]
• [50] S. Kang, J. Li, T.Y. Shi, J. Phys. B: At. Mol. Opt. Phys. 39, 3491 (2006) http://dx.doi.org/10.1088/0953-4075/39/17/007[Crossref]
• [51] S. Kang, Q. Liu, H.Y. Meng, T.Y. Shi, Phys. Lett. A 360, 608 (2007) http://dx.doi.org/10.1016/j.physleta.2006.08.055[Crossref]
• [52] H. Bachau, E. Cormier, P. Decleva, J.E. Hansen, F. Martin, Rep. Prog. Phys. 64, 1815 (2001) http://dx.doi.org/10.1088/0034-4885/64/12/205[Crossref]
• [53] F. Martin, J. Phys. B: At. Mol. Opt. Phys. 32, R197 (1999) http://dx.doi.org/10.1088/0953-4075/32/16/201[Crossref]
• [54] C. deBoor, A Practical Guide to Splines (Springer, New York, 1978)
• [55] J.H. Xi, L.J. Wu, X.H. He et al., Phys. Rev.A 46, 5806 (1992) http://dx.doi.org/10.1103/PhysRevA.46.5806[Crossref]
• [56] M.K. Chen, J. Phys. B 30, 1669 (1997) http://dx.doi.org/10.1088/0953-4075/30/7/007[Crossref]
• [57] P. Serra, S. Kais, J. Phys. B 45, 235003 (2012) http://dx.doi.org/10.1088/0953-4075/45/23/235003[Crossref]
• [58] A. Derevianko, E. Luc-Koenig, F. Masnou-Seeuws, Can. J. Phys. 87, 67 (2009) http://dx.doi.org/10.1139/p08-075[Crossref]
• [59] L. Safari, P. Amaro, S. Fritzche, J.P. Santos, F. Fratini, Phys. Rev. A 85, 043406 (2012) http://dx.doi.org/10.1103/PhysRevA.85.043406[Crossref]
• [60] Y.C. Lin, C.Y. Lin, Y.K. Ho, Phys. Rev.A 85, 042516 (2012) http://dx.doi.org/10.1103/PhysRevA.85.042516[Crossref]
• [61] U. Gupta, A.K. Rajagopal, Phys. Rep. 87, 259 (1982) http://dx.doi.org/10.1016/0370-1573(82)90077-1[Crossref]
• [62] J.C. Stewart, K.D.Jr. Pyatt, Astrophys. J. 144, 1203 (1966) http://dx.doi.org/10.1086/148714[Crossref]
• [63] H. Nguyen, M. Koenig, D. Benredjem, M. Caby, G. Coulaud, Phys. Rev. A 33, 1279 (1986) http://dx.doi.org/10.1103/PhysRevA.33.1279[Crossref]

Identifiers

DOI

10.2478/s11534-013-0230-4