Pekeris-type approximation for the l-wave in a Pöschl-Teller potential

2013/11/22 by Stoian I. Zlatev, Zlatev, Stoian I.
Mathematics · Physics and Astronomy · #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #physics.chem-ph

paper · pdf · doi:10.48550/arxiv.1311.5794

arxiv created 2013/11/22 · arxiv updated 2013/11/25

Abstract

An approximation for the centrifugal term which transforms the radial equation for a particle in a Pöschl-Teller potential into an exactly solvable approximate equation is proposed. In contrast to the approximations known in the literature, the new one can be used with the most general form of the central Pöschl-Teller potential. An approximate expression for the bound-state spectrum is obtained.

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