Solutions of the Klein–Gordon equation with the improved Tietz potential energy model
| العنوان: | Solutions of the Klein–Gordon equation with the improved Tietz potential energy model |
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| المؤلفون: | Chun-Sheng Jia, Liang-Zhong Yi, Han-Bin Liu |
| المصدر: | Journal of Mathematical Chemistry. 56:2982-2994 |
| بيانات النشر: | Springer Science and Business Media LLC, 2018. |
| سنة النشر: | 2018 |
| مصطلحات موضوعية: | Physics, 010304 chemical physics, Applied Mathematics, Numerical analysis, General Chemistry, 01 natural sciences, Diatomic molecule, Potential energy, Schrödinger equation, symbols.namesake, Critical point (thermodynamics), Quantum mechanics, 0103 physical sciences, Energy equation, Bound state, symbols, 010306 general physics, Klein–Gordon equation |
| الوصف: | We present the relativistic rotation–vibrational energy equation of a diatomic molecule which moves under the improved Tietz potential energy model in higher spatial dimensions. The nonrelativistic limits of the bound state solutions of the Klein–Gordon equation are the bound state solutions of the Schrodinger equation with the same potential energy function. Numerical analysis results show that there exists a critical point around which the solution behaviors bifurcate into two extreme cases. Below the critical point, the behavior of the relativistic vibrational energies for the ground electronic state of carbon monoxide in higher dimensions keeps similar to that of the three-dimensional system, while this symmetry phenomenon breaks and the Klein–Gordon equation has no stability solution upon the critical point. |
| تدمد: | 1572-8897 0259-9791 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::8cb2ff06ac91b21a1d30dc14a6c219b3 https://doi.org/10.1007/s10910-018-0927-0 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........8cb2ff06ac91b21a1d30dc14a6c219b3 |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 15728897 02599791 |
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