Padé oscillators and a new formulation of perturbation theory

DOI10.1063/1.528104zbMath0783.47075OpenAlexW2039163069MaRDI QIDQ4279924

Miloslav Znojil

Publication date: 7 February 1994

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

Full work available at URL: https://doi.org/10.1063/1.528104

zbMATH Keywords

Sturmiansproblem of bound states in potentials close to their Padé approximantsRayleigh-Schrödinger-type perturbation theory

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (2)

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

• Continued Fraction Approximants to the Brillouin-Wigner Perturbation Series
• The Schrodinger equation for the x²+λx²/(1+gx²) interaction
• Exact solutions of the Schrodinger equation (-d/dx²+x²+ λx²/(1 +gx²))ψ(x) =Eψ(x)
• On exact solutions of the Schrodinger equation

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