TY - JOUR
T1 - Arbitrary l-state solutions of the rotating Morse potential through the exact quantization rule method
AU - Qiang, Wen Chao
AU - Dong, Shi Hai
N1 - Funding Information:
The authors would like to thank the kind referee for the positive and invaluable suggestions which have improved the manuscript greatly. This work was partially supported by Natural Science Basic Research Plan in Shannxi Province of China (Program No. 2005A22), NSF of the Education Bureau of Shannxi Province of China under Grant O5jk238 and partially by COFAA, IPN and Project 20062088-SIP-IPN, Mexico.
PY - 2007/4/26
Y1 - 2007/4/26
N2 - By using the exact quantization rule, for non-zero l values we present analytical solutions of the radial Schrödinger equation for the rotating Morse potential in the frame of the Pekeris approximation. The energy levels of all the bound states are easily calculated from this quantization rule. Especially, the intractable normalized wavefunctions are also obtained. The numerical calculations for three typical diatomic molecules HCl, CO and LiH are compared with those obtained by other methods such as the supersymmetry, the Fourier gird Hamiltonian, the asymptotic iteration, the variational, the Nikiforov-Uvarov, the shifted 1 / N expansion and the modified shifted 1 / N expansion. It is found that the results obtained by the present method are in good agreement with those obtained by other approximate methods.
AB - By using the exact quantization rule, for non-zero l values we present analytical solutions of the radial Schrödinger equation for the rotating Morse potential in the frame of the Pekeris approximation. The energy levels of all the bound states are easily calculated from this quantization rule. Especially, the intractable normalized wavefunctions are also obtained. The numerical calculations for three typical diatomic molecules HCl, CO and LiH are compared with those obtained by other methods such as the supersymmetry, the Fourier gird Hamiltonian, the asymptotic iteration, the variational, the Nikiforov-Uvarov, the shifted 1 / N expansion and the modified shifted 1 / N expansion. It is found that the results obtained by the present method are in good agreement with those obtained by other approximate methods.
KW - Exact quantization rule
KW - Pekeris approximation
KW - Rotating Morse potential
UR - http://www.scopus.com/inward/record.url?scp=33846883967&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2006.10.091
DO - 10.1016/j.physleta.2006.10.091
M3 - Artículo
SN - 0375-9601
VL - 363
SP - 169
EP - 176
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 3
ER -