A general approach for the exact solution of the schrodinger equation
Cevdet Tezcan,Ramazan Sever +1 more
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TLDR
In this paper, the Schrodinger equation is solved exactly for some well known potentials and the Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the corresponding wave functions.Abstract:
The Schrodinger equation is solved exactly for some well known potentials. Solutions are obtained reducing the Schrodinger equation into a second order differential equation by using an appropriate coordinate transformation. The Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the corresponding wave functions.read more
Citations
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Approximate Analytical Solution of the Yukawa Potential with Arbitrary Angular Momenta
TL;DR: In this article, the generalized parametric Nikiforov-Uvarov method was used to obtain approximate analytical solutions of the radial Schrodinger equation for the Yukawa potential, and the energy eigenvalues and corresponding eigenfunctions were calculated in closed forms.
Journal ArticleDOI
Bound state solutions of the Schrodinger equation for the modified Kratzer potential plus screened Coulomb potential
TL;DR: In this article, an approximate solution of the Schrodinger equation for the modified Kratzer potential plus screened Coulomb potential model, within the framework of Nikiforov-Uvarov method, was obtained.
Journal ArticleDOI
Approximate spin and pseudospin solutions to the Dirac equation for the inversely quadratic Yukawa potential and tensor interaction
TL;DR: In this article, a Coulomb-like tensor potential with arbitrary spin-orbit coupling quantum number κ was proposed to solve the Dirac equation for the inversely quadratic Yukawa potential.
Journal ArticleDOI
Eigensolution, expectation values and thermodynamic properties of the screened Kratzer potential
TL;DR: In this paper, the energy eigenvalues and corresponding normalized eigenfunctions of a newly proposed screened Kratzer potential for lithium hydride (LiH) and hydrogen chloride (HCl) diatomic molecules are obtained.
Journal ArticleDOI
Approximate Bound States Solution of the Hellmann Potential
TL;DR: In this paper, the generalized parametric Nikiforov-Uvarov (NU) method was used to obtain the approximate analytical solutions of the radial Schrodinger equation (SE) for the Hellmann potential.
References
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TL;DR: In this paper, an exact solution for the Schroedinger equation representing the motions of the nuclei in a diatomic molecule, when the potential energy function is assumed to be of a form similar to those required by Heitler and London and others, was obtained.
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Bemerkungen zur Quantenmechanik des anharmonischen Oszillators
G. Pöschl,Edward Teller +1 more
TL;DR: In this article, the authors untersucht, inwieweit man bei einem anharmonischen Oszillator nach der klassischen Theorie und nach the Quantenmechanik aus dem Spektrum auf den Potentialverlauf schliesen kann.