Schrödinger equation with inverse fourth-power potential, a differential equation with two irregular singular points

DOI10.1063/1.1666831zbMath0289.34008OpenAlexW2122993624WikidataQ115333833 ScholiaQ115333833MaRDI QIDQ4777666

Bühring, Wolfgang

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1063/1.1666831

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary differential equations in the complex domain (34M99)

Related Items (6)

Spiked oscillators: exact solution ⋮ Generalized spheroidal wave equation and limiting cases ⋮ On the Weyl solution of the 1-dim Schrödinger operator with inverse fourth power potential ⋮ Unified QLM for regular and arbitrary singular potentials ⋮ Solutions for confluent and double-confluent Heun equations ⋮ Ince’s limits for confluent and double-confluent Heun equations

Cites Work

• Über die Integration der Mathieuschen Differentialgleichung durch Laplacesche Integrale
• Modification of Effective-Range Theory in the Presence of a Long-Range (r−4) Potential
• Exact Solution of the Schrödinger Equation for Inverse Fourth-Power Potential
• A new approach to scattering by singular potentials
• Scattering of Ions by Polarization Forces

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