Spectroscopic study of some diatomic molecules via the proper quantization rule

Abstract

Spectroscopic techniques are very essential tools in studying electronic structures, spectroscopic constants and energetic properties of diatomic molecules. These techniques are also required for parametrization of new method based on theoretical analysis and computational calculations. In this research, we apply the proper quantization rule in spectroscopic study of some diatomic molecules by solving the Schrödinger equation with two solvable quantum molecular systems-Tietz-Wei and shifted DengFan potential models for their approximate nonrelativistic energy states via an appropriate approximation to the centrifugal term. We show that the energy levels can be determined from its ground state energy. The beauty and simplicity of the method applied in this study is that, it can be applied to any exactly as well as approximately solvable models. The validity and accuracy of the method is tested with previous techniques via numerical computation for H 2 and CO diatomic molecules. The result also include energy spectrum of 5 different electronic states of NO and 2 different electronic state of ICl.

Approximate relativistic bound states of a particle in Yukawa field with Coulomb tensor interaction

“…It is therefore the aim of the present work is to apply the asymptotic iteration method [34,35,36,37] in solving the Dirac equation with the Yukawa potential including a Coulomb-like tensor interaction to obtain the energy eigenvalues and corresponding wave functions in view of spin and p-spin symmetry.…”

Path integral discussion of the improved Tietz potential

“…Then, changing αr into ξ = αr − 1 2 ln |q| and ε into α −2 ε s , we can rewrite the Green's function (12) in the form…”

Complete non-relativistic bound state solutions of the Tietz-Wei potential via the path integral approach

“…In another study, the construction of Ladder operators by the algebraic approach and coherent states in the context of supersymmetry in quantum mechanics for the Tietz-Wei anharmonic potential was discussed [10]. The method based on the appropriate quantization rule has recently been applied to determine the energy spectrum of a set of diatomic molecules in the presence of the Tietz-Wei potential [11] and the modified Tietz-Wei potential [12]. The Schrödinger equation has been solved by adopting the Pekeris approximation for the centrifugal term.…”