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23 April 2024

» arxiv » physics/9704019

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Closed-form solutions of the Schroedinger equation for a class of smoothed Coulomb potentials
Charles W. Clark ;
Date:	16 Apr 1997
Subject:	Atomic Physics; Mathematical Physics \| physics.atom-ph math-ph math.MP
Affiliation:	Electron and Optical Physics Division, National Institute of Standards and Technology, Gaithersburg, MD USA
Abstract:	An infinite family of closed-form solutions is exhibited for the Schroedinger equation for the potential $V(r) = -Z/sqrt{\|r\|^{2} + a^{2}}$. Evidence is presented for an approximate dynamical symmetry for large values of the angular momentum $l$.
Source:	arXiv, physics/9704019
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