The rotating Morse potential model for diatomic molecules in the J-matrix representation: II. The S-matrix approach

Abstract

This is the second article in which we study the rotating Morse potential model for diatomic molecules using the tridiagonal J-matrix approach. Here, we improve further 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 favorable results in comparison with available numerical data. We have also shown that the present method adds few significant digits to the accuracy obtained from the finite dimensional approach (e.g. the complex rotation method). Moreover, it allows us to handle easily both analytic and non-analytic potentials as well as 1/r singular potentials.

11 pages, 4 tables, and 1 color figure

References in corpus (12)

• Supersymmetry and Quantum Mechanics
• Rotational Correction on the Morse Potential Through the Pekeris Approximation and Nikiforov-Uvarov Method
• Arbitrary l-state solutions of the rotating Morse potential by the asymptotic iteration method
• Morse potential energy spectra through the variational method and supersymmetry
• The rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation: I. Bound states
• An extended class of L2-series solutions of the wave equation
• Exact method for locating potential resonances and Regge trajectories
• Pade approximation of the S-matrix as a way of locating quantum resonances and bound states
• Taming the Yukawa potential singularity: improved evaluation of bound states and resonance energies
• Resonances and Quantum Scattering for the Morse Potential as a Barrier
• Unified algebraic treatment of resonance
• Analytic models of ultra-cold atomic collisions at negative energies for application to confinement-induced resonances

Cited by in corpus (5)

• Resonant states and pseudospin symmetry in the Dirac Morse potential
• Singular Short Range Potentials in the J-Matrix Approach
• Analytical Treatment of the Oscillating Yukawa Potential
• Energy spectrum of a generalized Scarf potential using the Asymptotic Iteration Method and the Tridiagonal Representation Approach
• J-matrix method of scattering for potentials with inverse square singularity: The real representation