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Analytical solutions of Schrodinger equation for the diatomic molecular potentials with any angular momentum
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Date
2012-08-01
Author
Akçay, Hüseyin
Sever, Ramazan
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Analytical solutions of the Schrodinger equation are obtained for some diatomic molecular potentials with any angular momentum. The energy eigenvalues and wave functions are calculated exactly. The asymptotic form of the equation is also considered. Algebraic method is used in the calculations.
Subject Keywords
Diatomic molecular potential
,
Exact solutions
,
Bound-states
,
Energy eigenvalues
,
Wave functions
,
Schrodinger equation
,
Algebraic method
URI
https://hdl.handle.net/11511/62540
Journal
JOURNAL OF MATHEMATICAL CHEMISTRY
DOI
https://doi.org/10.1007/s10910-012-0013-y
Collections
Department of Physics, Article
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Exact polynomial eigensolutions of the Schrodinger equation for the pseudoharmonic potential
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On solutions of the Schrodinger equation for some molecular potentials: wave function ansatz
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Making an ansatz to the wave function, the exact solutions of the D-dimensional radial Schrodinger equation with some molecular potentials, such as pseudoharmonic and modified Kratzer, are obtained. Restrictions on the parameters of the given potential, delta and nu are also given, where eta depends on a linear combination of the angular momentum quantum number l and the spatial dimensions D and delta is a parameter in the ansatz to the wave function. On inserting D = 3, we find that the bound state eigenso...
Exact solution of Schrodinger equation for Pseudoharmonic potential
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Exact solution of Schrodinger equation for the pseudoharmonic potential is obtained for an arbitrary angular momentum. The energy eigenvalues and corresponding eigenfunctions are calculated by Nikiforov-Uvarov method. Wavefunctions are expressed in terms of Jacobi polynomials. The energy eigenvalues are calculated numerically for some values of l and n with n <= 5 for some diatomic molecules.
EXACT SPIN AND PSEUDO-SPIN SYMMETRIC SOLUTIONS OF THE DIRAC-KRATZER PROBLEM WITH A TENSOR POTENTIAL VIA LAPLACE TRANSFORM APPROACH
Arda, Altug; Sever, Ramazan (2012-09-28)
Exact bound state solutions of the Dirac equation for the Kratzer potential in the presence of a tensor potential are studied by using the Laplace transform approach for the cases of spin- and pseudo-spin symmetry. The energy spectrum is obtained in the closed form for the relativistic as well as non-relativistic cases including the Coulomb potential. It is seen that our analytical results are in agreement with the ones given in the literature. The numerical results are also given in a table for different p...
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H. Akçay and R. Sever, “Analytical solutions of Schrodinger equation for the diatomic molecular potentials with any angular momentum,”
JOURNAL OF MATHEMATICAL CHEMISTRY
, pp. 1973–1987, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62540.