Asymptotic iteration method for eigenvalue problems
TLDR
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.Abstract:
An asymptotic interation method for solving second-order homogeneous linear differential equations of the form y'' = lambda(x) y' + s(x) y is introduced, where lambda(x) \neq 0 and s(x) are C-infinity functions. Applications to Schroedinger type problems, including some with highly singular potentials, are presented.read more
Citations
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Hidden pseudospin and spin symmetries and their origins in atomic nuclei
TL;DR: Recently, the pseudospin symmetry (PSS) was recognized as a relativistic symmetry in atomic nuclei and many new concepts have been introduced as mentioned in this paper, including the spin symmetry (SS) for anti-nucleon.
Journal ArticleDOI
Construction of exact solutions to eigenvalue problems by the asymptotic iteration method
TL;DR: In this article, the authors apply the asymptotic iteration method (AIM) to solve new classes of second-order homogeneous linear differential equation, including Schrodinger problems with Coulomb, harmonic oscillator or Poschl-Teller potentials.
Journal ArticleDOI
Exact analytical solutions to the Kratzer potential by the asymptotic iteration method
TL;DR: For any n and l values, Bayrak et al. as mentioned in this paper presented a simple exact analytical solution of the radial Schrodinger equation for the Kratzer potential within the framework of theasymptotic iteration method (AIM).
Journal ArticleDOI
Perturbation theory in a framework of iteration methods
TL;DR: In this article, the authors used the asymmptotic iteration method to find the coefficients in the perturbation series for the eigenvalues and eigenfunctions directly, without first solving the unperturbed problem.
Journal ArticleDOI
Arbitrary ℓ-state solutions of the rotating Morse potential by the asymptotic iteration method
O. Bayrak,Ismail Boztosun +1 more
TL;DR: In this paper, an analytical solution of the radial Schr¨ odinger equation for the rotating Morse potential using the Pekeris approximation within the framework of the asymptotic iteration method is presented.
References
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Journal ArticleDOI
Coupling constant analyticity for the anharmonic oscillator
Barry Simon,A Dicke +1 more
TL;DR: In this article, the analytic properties of the singular perturbation theory for p2 + x2 + βx4 were studied, and it was shown rigorously that the singularities have ± 270° as asymptotic phase.
Journal ArticleDOI
Hidden pseudospin and spin symmetries and their origins in atomic nuclei
TL;DR: Recently, the pseudospin symmetry (PSS) was recognized as a relativistic symmetry in atomic nuclei and many new concepts have been introduced as mentioned in this paper, including the spin symmetry (SS) for anti-nucleon.
Journal ArticleDOI
Construction of exact solutions to eigenvalue problems by the asymptotic iteration method
TL;DR: In this article, the authors apply the asymptotic iteration method (AIM) to solve new classes of second-order homogeneous linear differential equation, including Schrodinger problems with Coulomb, harmonic oscillator or Poschl-Teller potentials.
Journal ArticleDOI
Exact analytical solutions to the Kratzer potential by the asymptotic iteration method
TL;DR: For any n and l values, Bayrak et al. as mentioned in this paper presented a simple exact analytical solution of the radial Schrodinger equation for the Kratzer potential within the framework of theasymptotic iteration method (AIM).
Journal ArticleDOI
Perturbation theory in a framework of iteration methods
TL;DR: In this article, the authors used the asymmptotic iteration method to find the coefficients in the perturbation series for the eigenvalues and eigenfunctions directly, without first solving the unperturbed problem.