摘要Using the asymptotic iteration method (AIM) we obtain the spectrum of the Klein--Gordon equation for some choices of scalar and vector potentials. In particular, it is shown that the AIM exactly reproduces the spectrum of some solvable potentials.
Abstract:Using the asymptotic iteration method (AIM) we obtain the spectrum of the Klein--Gordon equation for some choices of scalar and vector potentials. In particular, it is shown that the AIM exactly reproduces the spectrum of some solvable potentials.
[1] Dirac P A M 1927 Proc. Roy. Soc. London A 114243 [2]Ko\c{c R and Koca M 2005 Mod. Phys. Lett. A 20 911 [3]Hou C F, Sun X D, Zhou Z X and Li Y 1999 Acta Phys.Sin. 48 385 (in Chinese) Hou C F and Zhou Z X 1999 Acta Phys. Sin. 8 561(in Chinese) [4]Ol\u{gar E, Ko\c{c R and Tutunculer H 2006 Chin. Phys. Lett. 23 539 [5]Chen C 1999 \ Acta Phys. Sin. 48 385 (inChinese) Chen C et al. 2003 Acta Phys. Sin. 52 1579 (inChinese) [6] Qiang W C 2002 \ Chin. Phys. 11 757 Qiang W C 2003 Chin. Phys. 12 1054 [7] Hu S Z and Su R K 1991 Acta Phys. Sin. 40 1201(in Chinese) [8] E\u{grifes H, Demirhan D and Buyukk\i l\i \c{c F1999 Physica Scripta 60 195 [9] Jia C S et al 2003 Phys. Lett. A 311 115 [10] Liang Z Y, Yong F D, Jian Y L and Chun S J 2004 Phys. Lett. A 333 212 [11] Dominguez A F 1989 Phys. Lett. A 136 175 [12] Chen G 2004 Phys. Scripta 69 257 Chen G, Chen Z D and Lou Z M 2004 Phys. Lett. A 331 374 [13] Cao Z Q et al 2001 Phys. Rev. A 63\ 0544103 [14] He Y, Cao Z Q and Shen Q S 2004 Phys. Lett. A 326 315 [15] Liang Z et al 2005 Chin. Phys. Lett. 22 2465 [16] Castro A S 2005 Phys. Lett. A 338 81 [17] Chen G and Zhao D F 2003 Acta Phys. Sin. 522954 (in Chinese) Chen G 2004 Mod. Phys. Lett. A 19 2009 Chen G 2004 Phys. Lett. A 328 116 Chen G 2005 Phys. Lett. A 339 300 Chen G 2001 Acta Phys. Sin. 50 1651 (in Chinese) Chen G 2004 Acta Phys. Sin. 53 680 (in Chinese) [18] Chen G et al 2006 Physica Scripta 74 367 [19] Dutra A S and Chen G 2006 Phys. Lett. A 349297 [20] Zhang X F, Yang Q, Zhang J F, Chen X Z and Liu W M 2008 Phys. Rev. A 77 023613 [21] Kengne E and Liu W M 2006 Phys. Rev. E 73026603 [22] Li L, Malomed B A, Mihalache D and Liu W M 2006 Phys. Rev. E 73 066610 [23] \c{Cift\c{ci H, Hall R L and Saad N 2003 J. Phys.A: Math. Gen. 36 11807 [24]Barakat T, Abodayeh K and Mukheimer A 2005 J.Phys. A: Math. Gen. 38 1299 [25]Barakat T 2005 Phys. Lett. A 344 411 [26]Fernandez F M 2004 J. Phys. A: Math. Gen. 37 6173 [27]Saad N, Hall R L and \c{Cift\c{ci H 2006 J. Phys.A: Math. Gen. 39 8477 \c{Cift\c{ci H, Hall R L and Saad N 2005 J. Phys. A: Math. Gen. 38 1147 [28]Boztosun I, Karakoc M and Yasuk F 2006 J. Phys. A: Math. Gen. 47 062301 [29]Bayrak O and Boztosun I 2006 J. Phys. A: Math.Gen. 39 6955 [30]Barakat T 2006 Int. J. Mod. Phys. A \ 21 4127 [31]Amore P and Fernandez F M 2006 J. Phys. A: Math. Gen. 39 10491 [32]Soylu A, Bayrak O and Boztosun I 2006 Int. J. Mod.Phys. E 21 1263 [33]Kratzer A 1920 Z. Phys. 3 289 [34] Bayrak O, Boztosun I and \c{Cift\c{ci H 2007 Int.J. Quant. Chem. 107 540 [35]Nieto M M and Simmons L M 1979 Phys. Rev. A 19 438 [36]Flugge S 1971 Practical Quantum Mechanics (New York:Springer)