Please wait a minute...
Chin. Phys. B, 2010, Vol. 19(9): 090308    DOI: 10.1088/1674-1056/19/9/090308
GENERAL Prev   Next  

Continuum states of modified Morse potential

Wei Gao-Feng(卫高峰)a) and Chen Wen-Li(陈文利)b)
a Department of Physics, Xi'an University of Arts and Science, Xi'an 710065, China; b Department of Basic Science, Xi'an Peihua University, Xi'an 710065, China
Abstract  Using a proper approximation scheme to the centrifugal term, we study any l-wave continuum states of the Schrõdinger equation for the modified Morse potential. The normalised analytical radial wave functions are presented, and a corresponding calculation formula of phase shifts is derived. It is shown that the energy levels of the continuum states reduce to those of the bound states at the poles of the scattering amplitude. Some numerical results are calculated to show the accuracy of our results.
Keywords:  modified Morse potential      continuum states      approximate analytical solutions  
Received:  19 January 2010      Revised:  26 April 2010      Accepted manuscript online: 
PACS:  0365  
  0365G  
Fund: Project supported by Xi'an University of Arts and Science, China (Grant No. KYC200801).

Cite this article: 

Wei Gao-Feng(卫高峰) and Chen Wen-Li(陈文利) Continuum states of modified Morse potential 2010 Chin. Phys. B 19 090308

[1] Morse P M 1929 wxPhys. Rev.34 57
[2] Herzberg G 1950 Molecular Spectrum and Molecular Structure (Princeton, NJ: Van Nostrand)
[3] Haar D T 1946 wxPhys. Rev.70 222
[4] Yang S and Kellman M E 2002 wxPhys. Rev. A65 034103
[5] Flügge S, Walgner P and Weiguny A 1967 wxJ. Mol. Spectra23 243
[6] Davis E D 2004 wxPhys. Rev. A70 032101
[7] Nasser I, Abdelmonem M S, Bahlouli H and Alhaidari A D 2008 wxJ. Phys. B: At. Mol. Opt. Phys.41 215001
[8] Bayrak O and Boztosun I 2007 wxJ. Phys. A: Math. Theor.40 11119
[9] Mustafa Omar and Mazharimousavi S H 2009 wxPhys. Lett. A373 325
[10] Yecsiltacs ?, cSimcsek M, Sever R and Tezcan C 2003 wxPhys. Scr.67 472
[11] Jia C S, Li Y, Sun Y, Liu J Y and Sun L T 2003 wxPhys. Lett. A311 115
[12] Roy B and Roy P 2002 wxPhys. Lett. A296 187
[13] Deng Z H and Fan Y P 1957 wxShandong Univ. J.7 162
[14] Mesa A D S, Quesne C and Smirnov Y F 1998 wxJ. Phys. A: Math. Gen.31 321
[15] Rong Z M, Kjaergaard H G and Sage M L 2003 wxMol. Phys.101 2285
[16] Dong S H and Gu X Y 2008 wxJ. Phys: Comference Series96 012109
[17] Zhang L H, Li X P and Jia C S 2009 wxPhys. Scr.80 035003
[18] Guo J Y, Zhou F, Guo F L and Zhou J H 2007 wxInt. J. Mod. Phys. A22 4825
[19] Zhou Y and Guo J Y 2008 wxChin. Phys. B17 0380
[20] Guo Y Jianyou, Yu Y and Jin W Shaowei 2009 wxCent. Eur. J. Phys.7 168
[21] Zhang M C 2008 wxChin. Phys. B17 3214
[22] Zhang A P, Qiang W C and Ling Y W 2009 wxChin. Phys. Lett.26 100302
[23] Wei G F, Long C Y, Qin S J and Zhang X 2008 wxActa. Phys. Sin.57 6730 (in Chinese)
[24] Wei G F and Dong S H 2009 wxEurophysics Lett.87 40004
[25] Greene R L and Aldrich C 1976 wxPhys. Rev. A14 2363
[26] Gradshteyn I S and Ryzhik I M 1994 Tables of Integals, Series, and Products (fifth ed.) (New York: Academic Press)
[27] Landau L D and Lifshitz E M 1977 Quantum Mechanics, Non-Relativistic Theory (3rd ed.) (New York: Pergamon)
[28] Lucha W and Sch"oberl F F 1999 wxInt. J. Mod. Phys. C10 607
[1] The scattering states of the generalized Hulthén potential with an improved new approximate scheme to the centrifugal term
Wei Gao-Feng(卫高峰), Chen Wen-Li(陈文利), Wang Hong-Ying(王红英), and Li Yuan-Yuan(李院院). Chin. Phys. B, 2009, 18(9): 3663-3669.
No Suggested Reading articles found!