Alternative perturbation expansions for partially solvable quantum-mechanical models

DOI10.1016/J.PHYSLETA.2006.06.043zbMath1236.81096OpenAlexW2032111081MaRDI QIDQ942561

Francisco M. Fernández, Hakan Çiftçi

Publication date: 5 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.06.043

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Special quantum systems, such as solvable systems (81Q80)

Cites Work

• The asymptotic iteration method for the eigenenergies of the anharmonic oscillator potential \(V(x)=Ax^{2\alpha} +Bx^2\)
• Resonances for a perturbed Coulomb potential
• Perturbation theory in a framework of iteration methods
• On an iteration method for eigenvalue problems
• The asymptotic iteration method for the eigenenergies of the Schrödinger equation with the potentialV(r) = −Z/r+gr+ λr²
• Quantization condition for bound and quasibound states
• Asymptotic iteration method for eigenvalue problems
• Direct calculation of accurate Siegert eigenvalues
• Accurate eigenvalues and eigenfunctions for quantum-mechanical anharmonic oscillators

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