Bound and Scattering States Solution of the Relativistic Spinless Particles in View of the Multiparameter Potential

Improved multiparameter exponential‐type potential for diatomic molecules

“…In 2012, García‐Martínez et al constructed an exactly solvable multiparameter exponential‐type potential (MPETP) based on the canonical transformation method applied to a general second‐order differential equation. This potential model has attracted much attention . Ovando et al showed that the MPETP includes some well‐known diatomic potentials such as the Manning‐Rosen potential, Schiöberg potential and Tietz potential as special cases.…”

“…Ovando et al investigated in detail the supersymmetric properties of the MPETP. Investigations of the bound and scattering states of the Schrödinger, Klein‐Gordon, and Dirac equations for the MPETP in three and higher spatial dimensions have aroused considerable interest of many authors . However, as far as we know, one has not reported any investigation on modeling internuclear interaction potential curves for real diatomic molecules by employing the MPETP.…”

The calculation of ro-vibrational energies, franck-condon factors and r-centroids for Yttrium/Scandium oxides in D-dimension

“…The integral in equation ( 24) is calculated for different n values using the Mathematica software program as follows [26][27][28][29][30]:…”

Scattering State Solutions of Vector Bosons Interacting with Sun Potential

“…However, the DKP equation is more comprehensive than the KG and Proca equations due to its more complex structure (Nedjadi and Barrett, 1993; Scattering and bound state solutions to the wave equation are of great importance in quantum mechanics because the wave functions obtained from these solutions contain all the information needed to describe the entire quantum system. Therefore, there are many studies using different methods on physical potentials related to the relativistic and the non-relativistic particle equations (Taş and Havare, 2017;Taş, Aydoğdu, and Salti, 2017;Taş and Havare, 2018;Taş, Aydoğdu and Saltı, 2018;Yanar, Taş, Saltı and Aydoğdu, 2020;Edet, Amadi, Okorie, Taş, Ikot and Rampho, 2020;Okorie, Taş, Ikot, Osobonye and Rampho, 2021). In recent years, many studies have been conducted to DOI: 10.29132/ijpas.1369826 334 consider different interaction types for various representation of the DKP equation (Taş, 2021;Hassanabadi, Forouhandeh, Rahimov, Zarrinkamar and Yazarloo, 2012;Hamzavi and Ikhdair, 2013;Zarrinkamar, Rajabi, Yazarloo and Hassanabadi, 2013;Bahar, 2013;Bahar, and Yasuk, 2013;Onate, Ojonubah, Adeoti, Eweh and Ugboja, 2014;Ikot, Molaee, Maghsoodi, Zarrinkamar, Obong and Hassanabadi, 2015;Zarrinkamar, Panahi and Rezaei, 2016;Oluwadare and Oyewumi, 2017;Oluwadare and Oyewumi, 2018).…”