{"title":"Generalised tanh-shaped hyperbolic potential: Klein-Gordon equation's bound state solution","abstract":[{"text":"<jats:title>Abstract</jats:title>\n               <jats:p>The development of potential theory heightens the understanding of fundamental interactions in quantum systems. In this paper, the bound state solution of the modified radial Klein-Gordon equation is presented for generalised tanh-shaped hyperbolic potential from the Nikiforov-Uvarov method. The resulting energy eigenvalues and corresponding radial wave functions are expressed in terms of the Jacobi polynomials for arbitrary $l$ states. It is also demonstrated that energy eigenvalues strongly correlate with potential parameters for quantum states. Considering particular cases, the generalised tanh-shaped hyperbolic potential and its derived energy eigenvalues exhibit good agreement with the reported findings. Furthermore, the rovibrational energies are calculated for three representative diatomic molecules, namely $\\rm{H_{2}}$, $\\rm{HCl}$ and $\\rm{O_{2}}$. The lowest excitation energies are in perfect agreement with experimental results. Overall, the potential model is displayed to be a viable candidate for concurrently prescribing numerous quantum systems.</jats:p>","lang":"eng"}],"publication":"Communications in Theoretical Physics","date_updated":"2023-06-24T19:40:56Z","keyword":["Physics and Astronomy (miscellaneous)"],"type":"journal_article","publisher":"IOP Publishing","citation":{"apa":"Badalov, V., &#38; Badalov, S. (2023). Generalised tanh-shaped hyperbolic potential: Klein-Gordon equation’s bound state solution. <i>Communications in Theoretical Physics</i>. <a href=\"https://doi.org/10.1088/1572-9494/acd441\">https://doi.org/10.1088/1572-9494/acd441</a>","chicago":"Badalov, Vatan, and Sabuhi Badalov. “Generalised Tanh-Shaped Hyperbolic Potential: Klein-Gordon Equation’s Bound State Solution.” <i>Communications in Theoretical Physics</i>, 2023. <a href=\"https://doi.org/10.1088/1572-9494/acd441\">https://doi.org/10.1088/1572-9494/acd441</a>.","mla":"Badalov, Vatan, and Sabuhi Badalov. “Generalised Tanh-Shaped Hyperbolic Potential: Klein-Gordon Equation’s Bound State Solution.” <i>Communications in Theoretical Physics</i>, IOP Publishing, 2023, doi:<a href=\"https://doi.org/10.1088/1572-9494/acd441\">10.1088/1572-9494/acd441</a>.","ieee":"V. Badalov and S. Badalov, “Generalised tanh-shaped hyperbolic potential: Klein-Gordon equation’s bound state solution,” <i>Communications in Theoretical Physics</i>, 2023, doi: <a href=\"https://doi.org/10.1088/1572-9494/acd441\">10.1088/1572-9494/acd441</a>.","bibtex":"@article{Badalov_Badalov_2023, title={Generalised tanh-shaped hyperbolic potential: Klein-Gordon equation’s bound state solution}, DOI={<a href=\"https://doi.org/10.1088/1572-9494/acd441\">10.1088/1572-9494/acd441</a>}, journal={Communications in Theoretical Physics}, publisher={IOP Publishing}, author={Badalov, Vatan and Badalov, Sabuhi}, year={2023} }","ama":"Badalov V, Badalov S. Generalised tanh-shaped hyperbolic potential: Klein-Gordon equation’s bound state solution. <i>Communications in Theoretical Physics</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1088/1572-9494/acd441\">10.1088/1572-9494/acd441</a>","short":"V. Badalov, S. Badalov, Communications in Theoretical Physics (2023)."},"publication_status":"published","doi":"10.1088/1572-9494/acd441","date_created":"2023-06-24T19:40:20Z","status":"public","_id":"45763","user_id":"78800","publication_identifier":{"issn":["0253-6102","1572-9494"]},"year":"2023","author":[{"last_name":"Badalov","full_name":"Badalov, Vatan","first_name":"Vatan"},{"first_name":"Sabuhi","last_name":"Badalov","full_name":"Badalov, Sabuhi"}]}