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Analytic solution of the Schrödinger equation for the Coulomb-plus-linear potential. I: The wave functions. (English) Zbl 1110.81071

Summary: We solve the Schrödinger equation for a quark-antiquark system interacting via a Coulomb-plus-linear potential, and obtain the wave functions as power series, with their coefficients given in terms of the combinatorics functions.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
35J10 Schrödinger operator, Schrödinger equation
81V05 Strong interaction, including quantum chromodynamics
81V35 Nuclear physics
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