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Analytic continued fraction theory for a class of confinement potentials

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Publication:1139173
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DOI10.1007/BF00959542zbMath0433.34016OpenAlexW1969909976MaRDI QIDQ1139173

S. H. Smith

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf00959542


zbMATH Keywords

perturbation seriesSchrödinger theoryanalytic theory of continued fractionsconfinement potentialsinfinite continued fraction representationS-fractions


Mathematics Subject Classification ID

Two-body problems (70F05) (2)-body potential quantum scattering theory (81U05) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15) Ordinary differential operators (34L99)


Related Items (4)

On the elementary Schrödinger bound states and their multiplets ⋮ Analytic solutions of the general anharmonic-oscillator problem ⋮ On the power-series construction of bound states. I. The energies as zeros of the infinite Hill determinants ⋮ Continued fraction theory of the rotating harmonic oscillator




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