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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:
81Q05Closed and approximate solutions to quantum-mechanical equations
35J10Schrödinger operator
81V05Strong interaction, including quantum chromodynamics
81V35Applications of quantum theory to nuclear physics