SOLUTION FOR THE EIGENENERGIES OF SEXTIC ANHARMONIC OSCILLATOR POTENTIAL V(x)=A6x6+A4x4+A2x2

DOI10.1142/S0217732306019918zbMath1099.81031OpenAlexW2053077642MaRDI QIDQ5485777

A. J. A. Sous

Publication date: 4 September 2006

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217732306019918

zbMATH Keywords

quasi-exactly solvable modelsextic anharmonic oscillator potentialstate-dependent diagonalization methodthe asymptotic iteration method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (10)

A novel approach to solve quasiexactly solvable Pauli equation ⋮ EIGENENERGIES FOR THE RAZAVY POTENTIAL V(x) = (ζ cosh 2x-M)² USING THE ASYMPTOTIC ITERATION METHOD ⋮ Energy spectrum of a generalized Scarf potential using the asymptotic iteration method and the tridiagonal representation approach ⋮ Variational eigenfunctions for excited states inspired by supersymmetric quantum mechanics and the Gram–Schmidt process ⋮ Development of the perturbation theory using polynomial solutions ⋮ Energy levels of one-dimensional anharmonic oscillator via neural networks ⋮ Exact solution of Schrödinger equation for Pseudoharmonic potential ⋮ Application of the asymptotic Taylor expansion method to bistable potentials ⋮ Exact solutions of the sextic oscillator from the bi-confluent Heun equation ⋮ GENERAL EIGENVALUE PROBLEMS WITH UNBOUNDED POTENTIAL FROM BELOW

Cites Work

• The asymptotic iteration method for the eigenenergies of the anharmonic oscillator potential \(V(x)=Ax^{2\alpha} +Bx^2\)
• Quasi-exactly-solvable problems and sl(2) algebra
• Bender–Dunne Orthogonal Polynomials General Theory
• On an iteration method for eigenvalue problems
• Asymptotic iteration method for eigenvalue problems
• Approximate expression for the energy of aD-dimensional anharmonic potential
• Quasi-exactly solvable systems and orthogonal polynomials

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