Effective Mass Dirac-Morse Problem with any κ-value
<IMG src=
1Department of Physics Education, Hacettepe University,06800, Ankara, Turkey2Department of Physics, Middle East Technical University, 06531,Ankara, Turkey3Faculty of Engineering, Ba\cskent University, Bagl\ica Campus,Ankara, Turkey
Effective Mass Dirac--Morse Problem with any κ-value
<IMG src=
1Department of Physics Education, Hacettepe University,06800, Ankara, Turkey2Department of Physics, Middle East Technical University, 06531,Ankara, Turkey3Faculty of Engineering, Ba\cskent University, Bagl\ica Campus,Ankara, Turkey
The Dirac-Morse problem is investigated within the framework of an approximation to the term proportional to 1/r2 in the view of the position-dependent mass formalism. The energy eigenvalues and corresponding wave functions are obtained by using the parametric generalization of the Nikiforov-Uvarov method for any κ-value. We also study the approximate energy eigenvalues, and the corresponding wave functions in the case of the constant-mass for pseudospin, and spin cases, respectively.
The Dirac-Morse problem is investigated within the framework of an approximation to the term proportional to 1/r2 in the view of the position-dependent mass formalism. The energy eigenvalues and corresponding wave functions are obtained by using the parametric generalization of the Nikiforov-Uvarov method for any κ-value. We also study the approximate energy eigenvalues, and the corresponding wave functions in the case of the constant-mass for pseudospin, and spin cases, respectively.
<IMG src=. Effective Mass Dirac-Morse Problem with any κ-value[J]. 中国物理快报, 2010, 27(4): 40306-040306.
<, IMG src=. Effective Mass Dirac--Morse Problem with any κ-value. Chin. Phys. Lett., 2010, 27(4): 40306-040306.
[1] Von~Roos O 1983 Phys. Rev. B 27 7547 [2] Levy-Leblond J M 1995 Phys. Rev. A 52 1845 [3] Jia C S, Wang P Q, Liu J Y and He S 2008 Int. J. Theor. Phys. 47 2513 [4] Alhaidari A D 2004 Phys. Lett. A 322 72 [5] Jia C S and Dutra A S 2008 Ann. Phys. 323 566 [6] Gora T and Williams F 1969 Phys. Rev. 177 11979 [7] Luttinger J M and Kuhn W 1955 Phys. Rev. 97 869 [8] Wanner G H 1957 Phys. Rev. 52 191 [9] Slater J C 1949 Phys. Rev. 52 1592 [10] Serra L and Lipparini E 1997 Europhys. Lett. 40 667 [11] Hecht K T and Adler A 1969 Nucl. Phys. A 137 139 [12] Arima A, Harvey M and Shimizu K 1969 Phys. Lett. B 30 517 [13] Ginocchio J N 1997 Phys. Rev. Lett. 78 (3) 436 [14] Dudek J, Nazarewicz W, Szymanski Z and Le Ander G 1987 Phys. Rev. Lett. 59 1405 [15] Bohr A, Hamamoto I and Mottelson B R 1982 Phys. Scr. 26 267 [16] Troltenier D, Bahri C and Draayer J P 1995 Nucl. Phys. A 586 53 [17] Ginocchio J N 1999 Phys. Rep. 315 231 [18] Ginocchio J N 2001 Nucl. Phys. A 59 41c [19] Ginocchio J N 2002 Phys. Rev. C 66 064312 [20] Qiang W C, Zhou R S and Gao Y 2007 J. Phys. A: Math. Theor. 40 1677 [21] Gou J Y and Sheng Z Q 2005 Phys. Lett. A 338 90 [22] Alhaidari A D, Bahlouli H and Al-Hasan A 2006 Phys. Lett. A 349 87 [23] Castro A S, Alberto P, Lisboa R and Fiolhais M 2006 Phys. Rev C 73 054309 [24] Jia C S, Guo P and Peng X L 2006 J. Phys. A: Math. Gen. 39 7737 [25] Zhang L H, Li X P and Jia C S 2008 Phys. Lett. A 372 2201 [26] Xu Y, He S and Jia C S 2008 J. Phys. A: Math. Theor. 41 255302 [27] Jia C S, Guo P, Diao Y F, Yi L Z and Xie X J 2007 Eur. Phys. J. A 34 41 [28] Berkdemir C and Sever R 2008 J. Phys. A 41 045302 [29] Soylu A, Bayrak O and Boztosun I 2007 J. Math. Phys. 48 082302 [30] Nikiforov A F and Uvarov V B 1988 Special Functions of Mathematical Physics (Basel: Birkhauser) [31] Greiner G 1981 Relativistic Quantum Mechanics (Berlin: Springer) [32] Morse P M 1929 Phys. Rev. 34 57 [33] Pekeris C L 1934 Phys. Rev. 45 98 [34] Nasser I, Abdelmonem M S, Bahlouli H and Alhaidari A D 2007 J. Phys. B 40 4245
2010, Vol. 27 
