We consider the behavior for small 𝑟 of a Schrödinger equation with relativistic kinematics and Coulomb potential − 𝛼 𝑟 ; we also discuss critical values of 𝛼. Our solutions generalize to all the partial waves results already obtained for the 𝑆 wave, and are seen to match in a simple way with WKB approximate solutions in the oscillating region.
Partial-Wave Analysis Of A Relativistic Coulomb Problem
CASTORINA, PaoloPrimo
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1984-01-01
Abstract
We consider the behavior for small 𝑟 of a Schrödinger equation with relativistic kinematics and Coulomb potential − 𝛼 𝑟 ; we also discuss critical values of 𝛼. Our solutions generalize to all the partial waves results already obtained for the 𝑆 wave, and are seen to match in a simple way with WKB approximate solutions in the oscillating region.File in questo prodotto:
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