Journal ArticleDOI
Relativistic solutions for double ring-shaped oscillator potential via asymptotic iteration method
F. Yasuk,Aysen Durmus +1 more
TLDR
In this article, the three dimensional Klein-Gordon equation is solved with a double ring-shaped oscillator for the case of the equal vector and scalar potential, using the asymptotic iteration method which is very efficient, systematic and practical.Abstract:
The three dimensional Klein–Gordon equation is solved with a double ring-shaped oscillator for the case of the equal vector and scalar potential, , by using the asymptotic iteration method which is very efficient, systematic and practical. The bound states energy eigenvalues and corresponding eigenfunctions are presented for a particle bound in a potential of a double ring-shaped oscillator.read more
Citations
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Journal ArticleDOI
Asymptotic iteration method for eigenvalue problems
TL;DR: In this paper, an asymptotic interation method for solving second-order homogeneous linear differential equations of the form y'' = lambda(x) y' + s(x), y is introduced.
Journal ArticleDOI
Bound state solutions of the Klein–Gordon equation with the improved expression of the Manning–Rosen potential energy model
Chun-Sheng Jia,Tao Chen,Su He +2 more
TL;DR: By employing the improved Greene-Aldrich approximation scheme to deal with the centrifugal term, the relativistic vibrational transition frequencies for the a 3 Σ u + state of 7Li2 molecule have been computed by using the Manning-Rosen potential model as discussed by the authors.
Journal ArticleDOI
The Klein-Gordon equation with the Kratzer potential in d dimensions
TL;DR: In this paper, the bound-state energy spectrum for the d-dimensional Klein-Gordon equation with scalar S(r) and vector potentials V(r), where the potentials are Coulombic and Kratzer type, was obtained.
Journal ArticleDOI
Exact solutions of the Schrödinger equation with double ring-shaped oscillator
TL;DR: In this article, the authors present the exact solutions of the Schrodinger equation with the double ring-shaped oscillator (DRSO) potential, by introducing a new variable x = cos θ and constructing super-universal associated Legendre polynomials.
Journal ArticleDOI
The Klein-Gordon equation with ring-shaped potentials: Asymptotic iteration method
TL;DR: In this paper, the authors presented the solutions of three dimensional Klein-Gordon equation for the spherically and non-spherically harmonic oscillatory ring-shaped potentials within the framework of asymptotic iteration method.
References
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Posted Content
Orthogonal Polynomials
TL;DR: In this paper, different aspects of the theory of orthogonal polynomials of one (real or complex) variable are reviewed and orthogonality on the unit circle is not discussed.
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The factorization method
Leopold Infeld,T. E. Hull +1 more
TL;DR: The first-order differential-difference factorization method as mentioned in this paper is an operational procedure which enables us to answer, in a direct manner, questions about eigenvalue problems which are of importance to physicists.
Related Papers (5)
Relativistic and nonrelativistic solutions for diatomic molecules in the presence of double ring-shaped Kratzer potential
Aysen Durmus,F. Yasuk +1 more