A new approximation method for the Schrödinger equation

DOI10.1006/APHY.1999.5980zbMath1049.81016OpenAlexW2043634222MaRDI QIDQ1580516

R. J. Lombard, F. Z. Ighezou

Publication date: 1999

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

Full work available at URL: https://doi.org/10.1006/aphy.1999.5980

zbMATH Keywords

momentsinequalitieskinetic energySchrödinger equationcritical couplingsmonopole transitionPoeschl-Teller and square wellpotentials of Hulthen

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08)

Related Items (5)

Bertlmann-Martin inequalities in \(D=2\) and the Calogero model ⋮ On the moments of the ground and first excited states ⋮ Generalized Bertlmann--Martin inequalities and power-law potentials. ⋮ The inverse problem in the case of bound states ⋮ Determination of the central density on the basis of its moments

Cites Work

• Preservation of logarithmic concavity by the Mellin transform and applications to the Schrödinger equation for certain classes of potentials
• Particle Physics and the Schrödinger Equation
• A sufficient condition for the existence of bound states for scalar spherically symmetric potentials
• `Critical' behaviour of weakly bound systems
• Practical Quantum Mechanics II

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