Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
The analytic expression of the Wigner function for bound eigenstates of the Hulthén potential in quantum phase space is obtained and presented by plotting this function for a few quantum states. In addition, the correct marginal distributions of the Wigner function in spherical coordinates are determined analytically.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
90-96
Opis fizyczny
Daty
wydano
2014-02-01
online
2014-02-15
Twórcy
autor
- Faculty of Chemistry, Adam Mickiewicz University in Poznan, Umultowska 89 b, 61-614, Poznan, Poland, stanek@amu.edu.pl
Bibliografia
- [1] E. P. Wigner, Phys. Rev. 40, 749 (1932) http://dx.doi.org/10.1103/PhysRev.40.749[Crossref]
- [2] M. Hillery, R. O’Connell, M. Scully, E. Wigner, Phys. Rep. 106, 121 (1984) http://dx.doi.org/10.1016/0370-1573(84)90160-1[Crossref]
- [3] H.-W. Lee, Phys. Rep. 259, 147 (1995) http://dx.doi.org/10.1016/0370-1573(95)00007-4[Crossref]
- [4] L. Hulthén, Ark. Mat. Astron. Fys. 28A, 5 (1942)
- [5] L. Hulthén, Ark. Mat. Astron. Fys. 29B, 1 (1942)
- [6] T. Tietz, J. Chem. Phys. 35, 1917 (1961) http://dx.doi.org/10.1063/1.1732187[Crossref]
- [7] C. S. Lam, Y. P. Varshni, Phys. Rev. A 4, 1875 (1971) http://dx.doi.org/10.1103/PhysRevA.4.1875[Crossref]
- [8] C. S. Jia, J. Y. Wang, S. He, L. T. Sun, J. Phys. A: Math. Gen. 33, 6993 (2000) http://dx.doi.org/10.1088/0305-4470/33/39/313[Crossref]
- [9] R. L. Hall, Phys. Rev. A 32, 14 (1985) http://dx.doi.org/10.1103/PhysRevA.32.14[Crossref]
- [10] B. Durand, L. Durand, Phys. Rev. D 23, 1092 (1981) http://dx.doi.org/10.1103/PhysRevD.23.1092[Crossref]
- [11] P. Pyykko, J. Jokisaari, Chem. Phys. 10, 293 (1975) http://dx.doi.org/10.1016/0301-0104(75)87043-1[Crossref]
- [12] J. A. Olson, D. A. Micha, J. Chem. Phys. 68, 4352 (1978) http://dx.doi.org/10.1063/1.435512[Crossref]
- [13] V. C. Aguilera-Navarro, E. Ley-Koo, S. Mateos-Cortes, Rev. Mex. Fis. 43, 413 (1998)
- [14] C. Stubbins, Phys. Rev. A 48, 220 (1993) http://dx.doi.org/10.1103/PhysRevA.48.220[Crossref]
- [15] W. C. Qiang, Y. Gao, R. S. Zhou, Cent. Eur. J. Phys. 6, 356 (2008) http://dx.doi.org/10.2478/s11534-008-0041-1[Crossref]
- [16] S. M. Ikhdair, R. Sever, J. Math. Chem. 42, 461 (2006); S. M. Ikhdair, Eur. Phys. J. A 39, 307 (2009) http://dx.doi.org/10.1007/s10910-006-9115-8[Crossref]
- [17] A. Z. Tang, F. T. Chan, Phys. Rev. A 35, 911 (1987) http://dx.doi.org/10.1103/PhysRevA.35.911[Crossref]
- [18] B. Gönül, O. Özer, Y. Cançelik, M. Koçak, Phys. Lett. A 275, 238 (2000) http://dx.doi.org/10.1016/S0375-9601(00)00590-9[Crossref]
- [19] O. Bayrak, G. Kocak, I. Boztosun, J. Phys. A: Math. Gen. 39, 11521 (2006) http://dx.doi.org/10.1088/0305-4470/39/37/012[Crossref]
- [20] O. Bayrak, I. Boztosun, Phys. Scr. 76, 92 (2007) http://dx.doi.org/10.1088/0031-8949/76/1/016[Crossref]
- [21] J. Stanek, Cent. Eur. J. Chem, 9, 737 (2011) http://dx.doi.org/10.2478/s11532-011-0050-6[Crossref]
- [22] J. Lu, Phys. Scr. 72, 349 (2005) http://dx.doi.org/10.1238/Physica.Regular.072a00349[Crossref]
- [23] D. Eichenauer, N. Grün, W. Scheid, J. Phys. B 14, 3929 (1981) http://dx.doi.org/10.1088/0022-3700/14/20/017[Crossref]
- [24] I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series, and Products, 7th edition (Academic Press, New York, 2007)
- [25] J. Stanek, J. Konarski, Int. J. Quant. Chem. 103, 10 (2005) http://dx.doi.org/10.1002/qua.20427[Crossref]
- [26] J. Stanek, J. Konarski, J. Phys. A: Math. Gen. 39, 209 (2006) http://dx.doi.org/10.1088/0305-4470/39/1/015[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0433-3