Nonlinear ‘‘self-interaction’’ Hamiltonians of the form H (0)+λ〈r p〉 r q and their Rayleigh–Schrödinger perturbation expansions

DOI10.1063/1.527987zbMath0658.46064OpenAlexW1986178693MaRDI QIDQ3806209

Edward R. Vrscay

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527987

zbMATH Keywords

nonlinear HamiltoniansBender-Wu-type asymptotic formulasHVHF methodhypervirial (HV) and Hellmann-Feynman (HF) theoremsRayleigh-Schrödinger perturbation expansions

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Perturbation theories for operators and differential equations in quantum theory (81Q15) Miscellaneous applications of functional analysis (46N99)

Related Items

Canonical perturbation expansions to large order from classical hypervirial and Hellmann–Feynman theorems ⋮ ``Missing moment and perturbative methods for polynomial iterated function systems

Cites Work

• Continued fractions and Rayleigh–Schrödinger perturbation theory at large order
• An improvement of Watson’s theorem on Borel summability
• Theory of Solutions of Molecules Containing Widely Separated Charges with Special Application to Zwitterions
• Forces in Molecules

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