https://doi.org/10.1140/epjp/s13360-024-05603-3
Regular Article
Non-relativistic and relativistic energy of molecules in external fields with time-dependent moving boundaries
1
Department of Physics, College of Science, Sultan Qaboos University, Muscat, Oman
2
Theoretical Physics Group, Department of Physics, University of Port Harcourt, P. M. B. 5323, Choba, Nigeria
3
Western Caspian University, Baku, Azerbaijan
Received:
17
June
2024
Accepted:
29
August
2024
Published online:
12
September
2024
We studied the solution of the Schrödinger equation in the presence of external magnetic and Aharonov–Bohm (AB) fields, using the Deng–Fan potential and the Nikiforov–Uvarov method. The energy spectra were computed and used to investigate the energy levels of cesium diatomic molecules. The Hellmann–Feynman theorem was applied to compute the expectation values of certain physical observables. Additionally, we solved the time-dependent Schrödinger equation, studying the time-dependent density distribution function, average energy, and disequilibrium. The Klein–Gordon equation was also solved, and the approximate bound state energy equations as well as the corresponding radial wave function were obtained in closed form. Additionally, the expression for the scattering phase shift was obtained in D-dimensions. Ultimately, we investigated the bound-state solutions of the Dirac equation under spin and pseudospin symmetries, considering Coulomb-like tensor interactions. We derived the energy eigenvalue equations and the associated upper and lower spinor wavefunctions for spin and pseudospin limits.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.