Vectorial continued fractions and an algebraic construction of effective Hamiltonians

DOI10.1063/1.528166zbMath0637.34015OpenAlexW2076174598MaRDI QIDQ3778286

Miloslav Znojil

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528166

zbMATH Keywords

Hamiltoniansharmonic oscillatornonlinear algebraic equationsreducevectorial continued fractions

Mathematics Subject Classification ID

Hamilton's equations (70H05) Ordinary differential operators (34L99)

Related Items (6)

Singular anharmonicities and the analytic continued fractions. II. The potentials V(r)=a r2+b r−4+c r−6 ⋮ Two-sided estimates of energies and the ``forgotten exactly solvable potential \(V(r)=-a^2r^{-2}+b^2r^{-4}\) ⋮ Perturbation method for non-square Hamiltonians and its application to polynomial oscillators ⋮ The most general iteration scheme for Lippmann-Schwinger-type equations. ⋮ Double well model \(V(r)=ar^2+br^4+cr^6\) with \(a<0\) and perturbation method with triangular propagators ⋮ The spiked harmonic oscillator \(V(r)= r^2+ r^{-4}\) as a challenge to perturbation theory

Cites Work

• Unified theory of nuclear reactions
• The recursion method of a linear operator inversion. III

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