The Hill determinant method in application to the sextic oscillator: limitations and improvement
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Publication:3776699
DOI10.1088/0305-4470/20/9/033zbMath0636.70016OpenAlexW2053200628MaRDI QIDQ3776699
Publication date: 1987
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/20/9/033
Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Nonlinear resonances for nonlinear problems in mechanics (70K30)
Related Items (14)
Application of perturbation theory to the damped sextic oscillator ⋮ The generalized continued fractions and potentials of the Lennard-Jones type ⋮ On the computation of eigenvalues of the anharmonic Coulombic potential ⋮ The Hill determinant method revisited ⋮ Quasi-exactly solvable cases of an \(N\)-dimensional symmetric decatic anharmonic oscillator. ⋮ The asymptotic iteration method for the eigenenergies of the anharmonic oscillator potential \(V(x)=Ax^{2\alpha} +Bx^2\) ⋮ On the power-series construction of bound states. I. The energies as zeros of the infinite Hill determinants ⋮ Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method ⋮ Octic anharmonic oscillators: Perturbed coherent states and the classical limit ⋮ On the power-series construction of Schrödinger bound states. II. The effective Hill determinants ⋮ Perturbed Pöschl-Teller oscillators ⋮ Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities ⋮ THE ASYMPTOTIC ITERATION METHOD FOR THE EIGENENERGIES OF THE ASYMMETRICAL QUANTUM ANHARMONIC OSCILLATOR POTENTIALS $V(x)=\sum_{j=2}^{2\alpha}A_{j}x^{j}$ ⋮ Exponential decay of resolvents and discrete eigenfunctions of banded infinite matrices
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