Abstract
It is the aim of this study to discuss for two-body systems like homonuclear molecules in which eigenvalues and eigenfunctions are obtained by exact solutions of the solvable models based on SU(1, 1) Lie algebras. Exact solutions of the solvable Hamiltonian regarding the relative motion in a two-body system on Lie algebras were obtained. The U(1) ↔ O(2), U(3) ↔ O(4) and Uq(3) ↔ Oq(4) transitional Hamiltonians are employed to described for H2 and N2 molecules. Applications to the rotation-vibration spectrum for the diatomic molecule indicate that complicated Hamiltonian can be easily determined via the exactly solvable method. The results confirm the mixing of both vibrating and rotating structures in H2 and N2 molecules.
Highlights
The studies of molecular spectra of diatomic molecules are of great interest
The q-deformed vibron model of the diatomic molecules is reported by Alvarez et al in ref
We studied the phase transition of the even and odd nuclei based on q-deformed SU[1,1] algebraic model19,20
Summary
It is the aim of this study to discuss for two-body systems like homonuclear molecules in which eigenvalues and eigenfunctions are obtained by exact solutions of the solvable models based on SU[1, 1] Lie algebras. One has to employ some complicated numerical methods to diagonalize the transitional Hamiltonian in analytic and exact solvable solutions of the duality paring models in diatomic molecules at rotational and vibrational modes, but Pan et al in refs. We have defined the molecular spectra for diatomic molecules by using transitional Hamiltonians which are based on the affine SU[1, 1] algebraic technique and quantum deformation theory. The first reason is that it is a solvable model, a deformed version of the dynamical symmetries diatomic molecules has been constructed and we can have good accuracy in the study of energy spectra in the molecule The structure of this manuscript is as follows: section 2 briefly summarizes theoretical aspects of the transitional.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
