The rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation: I. Bound states

Abstract

This is the first in a series of articles in which we study the rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation. Here, we compute the bound states energy spectrum by diagonalizing the finite dimensional Hamiltonian matrix of H2, LiH, HCl and CO molecules for arbitrary angular momentum. The calculation was performed using the J-matrix basis that supports a tridiagonal matrix representation for the reference Hamiltonian. Our results for these diatomic molecules have been compared with available numerical data satisfactorily. The proposed method is handy, very efficient, and it enhances accuracy by combining analytic power with a convergent and stable numerical technique.

18 Pages, 6 Tables, 4 Figures

References in corpus (3)

• 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
• An extended class of L2-series solutions of the wave equation

Cited by in corpus (16)

• Rotation and vibration of diatomic molecule in the spatially-dependent mass Schrodinger equation with generalized q-deformed Morse potential
• Quantization rule solution to the Hulthén potential in arbitrary dimension by a new approximate scheme for the centrifugal term
• Taming the Yukawa potential singularity: improved evaluation of bound states and resonance energies
• Exact Solution of Dirac Equation with Charged Harmonic Oscillator in Electric Field: Bound States
• Solutions of N-dimensional Schrödinger Equation with Morse Potential Via Laplace Transforms
• The rotating Morse potential model for diatomic molecules in the J-matrix representation: II. The S-matrix approach
• Approximate Analytical Solutions of a Two-Term Diatomic Molecular Potential with Centrifugal Barrier
• Singular Short Range Potentials in the J-Matrix Approach
• Effective Mass Quantum Systems with Displacement Operator: Inverse Square plus Coulomb-like Potential
• Analytical Treatment of the Oscillating Yukawa Potential
• Effective Mass Schrodinger Equation via Point Canonical Transformation
• Energy spectrum of a generalized Scarf potential using the Asymptotic Iteration Method and the Tridiagonal Representation Approach
• Properties of a potential energy matrix in oscillator basis
• Morse potential in relativistic contexts from generalized momentum operator, Pekeris approximation revisited and mapping
• J-matrix method of scattering for potentials with inverse square singularity: The real representation
• J-matrix method of scattering in one dimension: The relativistic theory