Abstract
A formalism is presented that allows an asymptotically exact solution of non-relativistic and semi-relativistic two-body problems with infinitely rising confining potentials. We consider both linear and quadratic confinement. The additional short-range terms are expanded in a Coulomb-Sturmian basis. Such kinds of Hamiltonians are frequently used in atomic, nuclear, and particle physics.
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The paper is dedicated to the 60th birthday of Prof. Willibald Plessas.
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Day, J.P., McEwen, J.E. & Papp, Z. Two-body Problems with Confining Potentials. Few-Body Syst 47, 17–23 (2010). https://doi.org/10.1007/s00601-009-0063-2
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DOI: https://doi.org/10.1007/s00601-009-0063-2