TY - JOUR
T1 - Analytical approximations to the solutions of the Manning-Rosen potential with centrifugal term
AU - Qiang, Wen Chao
AU - Dong, Shi Hai
N1 - Funding Information:
The authors would like to thank the kind referee for positive and invaluable suggestions which have improved the manuscript greatly. This work is supported partly by Natural Science Basic Research Plan in Shaanxi Province of China (Program No. 2005A22), NSF of the Education Bureau of Shaanxi Province of China under Grant O5jk238 and partially by SIP-IPN 20070914 and COFAA-IPN, Mexico.
PY - 2007/8/13
Y1 - 2007/8/13
N2 - The bound state solutions of the Manning-Rosen potential with the centrifugal term are presented approximately. It is shown that the solutions can be expressed by the generalized hypergeometric functions 2F1 (a, b ; c ; z). The intractable normalized wavefunctions are derived. To show the accuracy of our results, we calculate the eigenvalues numerically for arbitrary quantum numbers n and l with two different values of the parameter α. It is found that the results are in good agreement with those obtained by other method for short potential range, small l and α. Two special cases for l = 0 and the Hulthén potential are also studied briefly.
AB - The bound state solutions of the Manning-Rosen potential with the centrifugal term are presented approximately. It is shown that the solutions can be expressed by the generalized hypergeometric functions 2F1 (a, b ; c ; z). The intractable normalized wavefunctions are derived. To show the accuracy of our results, we calculate the eigenvalues numerically for arbitrary quantum numbers n and l with two different values of the parameter α. It is found that the results are in good agreement with those obtained by other method for short potential range, small l and α. Two special cases for l = 0 and the Hulthén potential are also studied briefly.
KW - Arbitrary l state
KW - Bound states
KW - Manning-Rosen potential
UR - http://www.scopus.com/inward/record.url?scp=34547599982&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2007.03.057
DO - 10.1016/j.physleta.2007.03.057
M3 - Artículo
SN - 0375-9601
VL - 368
SP - 13
EP - 17
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1-2
ER -