The exact bound-state ansaetze as zero-order approximations in perturbation theory. I: The formalism and Padé oscillators

DOI10.1007/BF01597944zbMath1001.81511MaRDI QIDQ1581380

Miloslav Znojil

Publication date: 17 December 2002

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

zbMATH Keywords

quasi-Rayleigh-Schrödinger theory

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (3)

Exact solutions for radial Schrödinger equations ⋮ On the elementary Schrödinger bound states and their multiplets ⋮ The exact bound-state ansaetze as zero-order approximations in perturbation theory. II: An illustration: \(V(r)= r^2+ fr^2/ (1+gr^2)\)

Cites Work

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• Quantum field theory techniques in graphical enumeration
• Quasi-exactly-solvable problems and sl(2) algebra
• On the interaction of the type λx2/(1+g x2)
• Exact solutions of the Schrodinger equation (-d/dx²+x²+ λx²/(1 +gx²))ψ(x) =Eψ(x)
• Padé oscillators and a new formulation of perturbation theory
• On exact solutions of the Schrodinger equation

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