The spiked harmonic oscillator \(V(r)= r^2+ r^{-4}\) as a challenge to perturbation theory

DOI10.1007/BF01598976zbMath1001.81513OpenAlexW2032171521MaRDI QIDQ1581391

Miloslav Znojil, M. F. Flynn, R. Guardiola

Publication date: 17 December 2002

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

Full work available at URL: https://doi.org/10.1007/bf01598976

zbMATH Keywords

Rayleigh-Schrödinger perturbation

Mathematics Subject Classification ID

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

Related Items (4)

Spiked Harmonic Oscillator: N^-1 Expansion ⋮ Spiked harmonic oscillators ⋮ Study of anharmonic singular potentials ⋮ The nonsingular spiked harmonic oscillator

Cites Work

• Unnamed Item
• Singular perturbation potentials
• Numerically inspired new version of degenerate Rayleigh-Schrödinger perturbation theory
• Variational and perturbative schemes for a spiked harmonic oscillator
• Vectorial continued fractions and an algebraic construction of effective Hamiltonians

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