The asymptotic iteration method for the eigenenergies of the anharmonic oscillator potential \(V(x)=Ax^{2\alpha} +Bx^2\)
From MaRDI portal
Publication:936915
DOI10.1016/j.physleta.2005.06.081zbMath1194.81060OpenAlexW2048258159MaRDI QIDQ936915
Publication date: 20 August 2008
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2005.06.081
Related Items (24)
Exact analytical solution of the \(N\)-dimensional radial Schrödinger equation with pseudoharmonic potential via Laplace transform approach ⋮ Exact analytical solutions of the wave function for some \(q\)-deformed potentials ⋮ Eigenvalues and eigenfunctions for the ground state of polynomial potentials ⋮ The foundations of spectral computations via the solvability complexity index hierarchy ⋮ Quasi normal modes and P-V criticallity for scalar perturbations in a class of dRGT massive gravity around black holes ⋮ Energy spectrum of a generalized Scarf potential using the asymptotic iteration method and the tridiagonal representation approach ⋮ Calculation of bound states and resonances in perturbed Coulomb models ⋮ Exact solution of Schrödinger equation for Pseudoharmonic potential ⋮ Alternative perturbation expansions for partially solvable quantum-mechanical models ⋮ On some polynomial potentials in d-dimensions ⋮ Simple bound state energy spectra solutions of Dirac equation for Hulthén and Eckart potentials ⋮ Application of the asymptotic Taylor expansion method to bistable potentials ⋮ Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method ⋮ Generalized Dirac equation with induced energy-dependent potential via simple similarity transformation and asymptotic iteration methods ⋮ ASYMPTOTIC ITERATION METHOD FOR SINGULAR POTENTIALS ⋮ Ordering of ground state energy levels of two-electron quantum dot in a magnetic field ⋮ Exact solutions for vibrational levels of the Morse potential via the asymptotic iteration method ⋮ Perturbed Coulomb potentials in the Klein-Gordon equation via the asymptotic iteration method ⋮ SOLUTION FOR THE EIGENENERGIES OF SEXTIC ANHARMONIC OSCILLATOR POTENTIAL V(x)=A6x6+A4x4+A2x2 ⋮ THE ASYMPTOTIC ITERATION METHOD FOR DIRAC AND KLEIN–GORDON EQUATIONS WITH A LINEAR SCALAR POTENTIAL ⋮ Soft-core Coulomb potentials and Heun’s differential equation ⋮ THE ASYMPTOTIC ITERATION METHOD FOR THE EIGENENERGIES OF THE ASYMMETRICAL QUANTUM ANHARMONIC OSCILLATOR POTENTIALS $V(x)=\sum_{j=2}^{2\alpha}A_{j}x^{j}$ ⋮ The Klein-Gordon equation with ring-shaped potentials: Asymptotic iteration method ⋮ A Laplace transform approach to find the exact solution of the \(N\)-dimensional Schrödinger equation with Mie-type potentials and construction of Ladder operators
Cites Work
- Approximate analytical states of a polynomial potential: an example of symmetry restoration
- On an iteration method for eigenvalue problems
- The Hill determinant method in application to the sextic oscillator: limitations and improvement
- Fifty years of eigenvalue perturbation theory
- Asymptotic iteration method for eigenvalue problems
- The asymptotic iteration method for the angular spheroidal eigenvalues
- Quantum tunneling for the asymmetric double-well potential at finite energy
- Comment on ``Bounces and the calculation of quantum tunnelling effects for the asymmetric double-well potential
This page was built for publication: The asymptotic iteration method for the eigenenergies of the anharmonic oscillator potential \(V(x)=Ax^{2\alpha} +Bx^2\)
