I Nasser et al 2008 J. Phys. B: At. Mol. Opt. Phys. 41 215001 doi:10.1088/0953-4075/41/21/215001
I Nasser1, M S Abdelmonem1, H Bahlouli1 and A D Alhaidari2
Show affiliationsThis is the second article in which we study the rotating Morse potential model for diatomic molecules using the tridiagonal J-matrix approach. Here, we further improve the accuracy of computing the bound states and resonance energies for this potential model from the poles of the S-matrix for arbitrary angular momentum. The calculation is performed using an infinite square integrable basis that supports a tridiagonal matrix representation for the reference Hamiltonian, which is included in the computations analytically without truncation. Our method has been applied to both the regular and inverted Morse potential with favourable results in comparison with available numerical data. We have also shown that the present method adds a few significant digits to the accuracy obtained from the finite dimensional approach (e.g. the complex rotation method). Moreover, it allows us to easily handle both analytic and non-analytic potentials as well as 1/r singular potentials.
31.15.-p Calculations and mathematical techniques in atomic and molecular physics
33.15.Mt Rotation, vibration, and vibration-rotation constants
Issue 21 (14 November 2008)
Received 6 July 2008, in final form 21 September 2008
Published 13 October 2008
I Nasser et al 2008 J. Phys. B: At. Mol. Opt. Phys. 41 215001
Seung-Sik Park et al 2008 Nanotechnology 19 245708
Haixia Xu et al 2009 Nanotechnology 20 465608
John Ellis et al 2008 J. Phys. G: Nucl. Part. Phys. 35 115004
A M H van der Veen et al 2005 Metrologia 42 08002
N V Baranov et al 2009 J. Phys.: Condens. Matter 21 506002
V Petrykin et al 2009 J. Phys.: Conf. Ser. 190 012166
Gyanendra P Sasmal 2009 J. Phys. B: At. Mol. Opt. Phys. 42 225001
R C Kambale et al 2009 Smart Mater. Struct. 18 115028
Keiichi Sato et al 2007 Nanotechnology 18 465702