Bound State Solutions of the Schrödinger Equation for the More General Exponential Screened Coulomb Potential Plus Yukawa (MGESCY) Potential Using Nikiforov-Uvarov Method — Oak Academic Publishing
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Bound State Solutions of the Schrödinger Equation for the More General Exponential Screened Coulomb Potential Plus Yukawa (MGESCY) Potential Using Nikiforov-Uvarov Method
Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, CRS, Calabar, Nigeria
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CAS Key Laboratory for Nanosystem and Hierarchical Fabrication, CAS Centre for Excellence in Nanoscience, National Centre For Nanoscience and Technology, University of Chinese Academy of Science, Beijing, China
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Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, CRS, Calabar, Nigeria
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Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, CRS, Calabar, Nigeria
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Nano-Chemistry Research Group, Department of Chemistry, School of Physical Sciences, Modibbo Adama University of Technology, Yola, Nigeria
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Department of Mathematics, Ngaoundere University, Ngaoundere, Cameroon
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Nano-Chemistry Research Group, Department of Chemistry, School of Physical Sciences, Modibbo Adama University of Technology, Yola, Nigeria
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Scientific Equipment Development Institute (SEDI), Enugu, Nigeria
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Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, CRS, Calabar, Nigeria
1 Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, CRS, Calabar, Nigeria
2 CAS Key Laboratory for Nanosystem and Hierarchical Fabrication, CAS Centre for Excellence in Nanoscience, National Centre For Nanoscience and Technology, University of Chinese Academy of Science, Beijing, China
3 Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, CRS, Calabar, Nigeria
4 Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, CRS, Calabar, Nigeria
5 Nano-Chemistry Research Group, Department of Chemistry, School of Physical Sciences, Modibbo Adama University of Technology, Yola, Nigeria
6 Department of Mathematics, Ngaoundere University, Ngaoundere, Cameroon
7 Nano-Chemistry Research Group, Department of Chemistry, School of Physical Sciences, Modibbo Adama University of Technology, Yola, Nigeria
8 Scientific Equipment Development Institute (SEDI), Enugu, Nigeria
9 Physical/Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, CRS, Calabar, Nigeria
The solutions of the Schr ö dinger with more general exponential screened coulomb (MGESC), Yukawa potential (YP) and the sum of the mixed potential (MGESCY) have been presented using the Parametric Nikiforov-Uvarov Method (pNUM). The bound state energy eigenvalues and the corresponding un-normalized eigenfunctions expressed in terms of hypergeometric functions were obtained. Some derived equations were used to calculate numerical values for MGESC, YP, and MGESCY potentials for diatomic molecules with different screening parameters ( α ) for l = 0 and l = 1 state with V 0 = 2.75 MeV and V 1 = 2.075 MeV. We observed an increase in l value; the particles behave more repulsive than attractive. The numerical values for different l-states at different screening parameters for CO molecules ( r = 1.21282) and NO molecule ( r = 1.1508) were obtained using the bound state energy eigenvalue of the Schrodinger equation for MGESC, YP and MGESCY potentials. Potential variation with intermolecular distance ( r ) for some of the particles moving under the influence of MGESC, Yukawa and the mixed potential (MGESCY) were also studied. We also observed the variation of the MGESC potential with the radial distance of separation between the interacting particles ( r ) for different screening parameters ( α ) with V 0 = 2.75 MeV at l = 0 and l = 1 and YP with V 1 = 2.075 MeV at l = 0 and l = 1 as purely diatomic particles in nature. The energies plotted against the principal quantum number n for different values of ( α ) for both CO and NO show closed resemblance even at different values of the potential depth. The energy plots of the YP and MGESC potential for both CO and NO molecules as n →∞, and the energy E →0, shows exothermal behaviour. The energy expression for the mixed potentials V 0 = 5 MeV and V 1 = 10 MeV, shows that both diatomic molecules possesses similar behaviour.
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