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Bound States of the Relativistic Rotating Deng-Fan Oscillator Potential
Get PDFAbstract The generalized Morse or Deng-Fan Potential describes diatomic molecular energy spectra and electromagnetic transitions. We solve the Klein-Gordon (K-G) equation for Deng-Fan Potential in arbitrary N -dimension and use an improved approximation scheme to the centrifugal term. By using the generalized parametric NikiforovUvarov (NU) method, we obtain the energy eigenvalues and corresponding wave functions in closed forms. The effect of potential parameters and the dimension N on the energy eigenvalues is numerically discussed
The Generalized Fractional NU Method for the Diatomic Molecules in the Deng-Fan Model
No full textA solution of the fractional N-dimensional radial Schrodinger equation with
the Deng-Fan potential is investigated by the generalized fractional NU method.
The analytical formulas of energy eigenvalues and corresponding eigen functions
for the Deng-Fan potential are generated. Furthermore, the current results are
applied to several diatomic molecules for the Deng-Fan potential as well as the
shifted Deng Fan potential. For both the Deng-Fan potential and its shifted
potential, the effect of the fractional parameter on the energy levels of
various diatomic molecules is examined numerically and graphically. We found
that the energy eigenvalues are gradually improved when the fractional
parameter increases. The energy spectra of various diatomic molecules are also
evaluated in three-dimensional space and higher dimensions. It is worthy to
note that the energy spectrum raises as the number of dimensions increases. In
addition, the dependence of the energy spectra of the Deng-Fan potential and
its shifted potential on the reduced mass, screening parameter, equilibrium
bond length, rotational and vibrational quantum numbers is illustrated. To
validate our findings, we estimate the energy levels of the Deng-Fan potential
and shifted Deng-Fan potential at the classical case for various diatomic
molecules and found that they are entirely compatible with earlier studies.Comment: 20 pages, 6 figure
Accuracy of XH-stretching intensities with the Deng–Fan potential
No full textOne-dimensional local mode XH-stretching (X = 16O, 19F and 35Cl) vibrational transition frequencies and intensities have been calculated for six small atmospheric relevant molecules. The calculations are done using Morse, Deng–Fan and numeric potentials at the CCSD(T)/aug-cc-pVTZ level of theory. Parameters of the Morse potential are found from the derivatives of the potential energy surface, with respect to the internal XH-stretching displacement coordinate, evaluated at the equilibrium geometry. Parameters of the Deng–Fan potential are obtained using the first two transition frequencies of the Morse potential. The dipole moment functions (DMFs) are represented by a sixth-order polynomial in the displacement coordinate fitted to dipole moment single points calculated with a finite field approach. Analytical matrix elements are derived and used to calculate oscillator strengths for the Morse and Deng–Fan potential. We compare calculated and experimentally determined oscillator strengths and transition frequencies, as well as displacement matrix elements of the different potentials. For the XH-stretching vibrations considered, the Deng–Fan potential predicts absorption intensities considerably better than the Morse potential.</p
Quasi-Analytical Solutions of DKP Equation under the Deng-Fan Interaction
Get PDFQuasianalytical solutions of Duffin-Kemmer-Petiau equation under scalar and vector Deng-Fan potentials are reported via a novel ansatz
The Nonrelativistic Scattering States of the Deng-Fan Potential
No full textThe approximately analytical scattering state solution of the Schrodinger equation is obtained for the Deng-Fan potential by using an approximation scheme to the centrifugal term. Energy eigenvalues, normalized wave functions, and scattering phase shifts are calculated. We consider and verify two special cases: the l=0 and the s-wave Hulthén potential
The Nonrelativistic Scattering States of the Deng-Fan Potential
No full textThe approximately analytical scattering state solution of the Schrodinger equation is obtained for the Deng-Fan potential by using an approximation scheme to the centrifugal term. Energy eigenvalues, normalized wave functions, and scattering phase shifts are calculated. We consider and verify two special cases: the = 0 and the s-wave Hulthén potential
Dirac-Deng-Fan Problem with Coulomb-Hulthen Tensor Interactions
No full textThe relativistic symmetries of the Dirac equation within the framework of spin and pseudospin symmetries is investigated for Deng-Fan potential including the Coulomb-like and Hulthen-type potential tensor interaction terms. The energy eigenvalues and the corresponding wave function are obtained using the parametric generalization of Nikiforov-Uvarov method. We have also reported some numerical results and figures to show the effect of the tensor interactions
Thermal properties of Deng-Fan-Eckart potential model using Poisson summation approach
No full textThe Deng-Fan-Eckart potential is as good as the Morse potential in studying atomic interaction in diatomic molecules. By using the improved Pekeris-type approximation, to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schrodinger equation with this adopted molecular model via the Factorization Method. With the energy equation obtained, the thermodynamic properties of some selected diatomic molecules (H-2, CO, ScN and ScF) were obtained using Poisson summation method. The unnormalized wave function is also derived. The energy spectrum for a set of diatomic molecules for different values of the vibrational n and rotational l\ are obtained. To show the accuracy of our results, we discuss some special cases by adjusting some potential parameters and also compute the numerical eigenvalue of the Deng-Fan potential for comparison sake. However, it was found out that our results agree excellently with the results obtained via other methods
Approximate Relativistic Dirac Equation of a Particle in the Field of Shifted Deng-Fan Potential
Get PDFWe report here the analytic solution of the Dirac equation for Shifted Deng-Fan potential for any spin-orbit coupling term
� by using the SUSY QM approach within the framework of spin and pseudo-spin symmetries. The energy eigenvalues are
obtained in a closed form by applying an approximation to spin-orbit coupling potential
Reflection and Transmission Coefficients of the Symmetric Barrier-Type Shifted Deng-Fan Potential
No full textBy applying continuity and boundary conditions, the reflection and transmission coefficients of one-dimensional time-independent Schrödinger equation with a symmetric barrier-type shifted Deng-Fan potential are obtained and discussed. The numerical and graphical results are very sufficient, accurate and consistent with the conservation of probability.</p
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