Plante, Guillaume; Antippa, Adel F. Analytic solution of the Schrödinger equation for the Coulomb-plus-linear potential. I: The wave functions. (English) Zbl 1110.81071 J. Math. Phys. 46, No. 6, 062108, 20 p. (2005). 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. Cited in 9 Documents 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 PDFBibTeX XMLCite \textit{G. Plante} and \textit{A. F. Antippa}, J. Math. Phys. 46, No. 6, 062108, 20 p. (2005; Zbl 1110.81071) Full Text: DOI References: [1] DOI: 10.1103/PhysRevLett.34.369 [2] DOI: 10.1103/PhysRevD.17.3090 [3] DOI: 10.1016/0370-1573(79)90095-4 [4] DOI: 10.1016/0003-4916(80)90358-9 [5] DOI: 10.1070/PU1984v027n05ABEH004291 [6] DOI: 10.1103/PhysRevD.34.3894 [7] DOI: 10.1103/PhysRevD.29.1213 [8] DOI: 10.1103/PhysRevD.56.2566 [9] DOI: 10.1103/PhysRevA.17.34 [10] DOI: 10.1016/0375-9601(78)90580-7 [11] DOI: 10.1080/00268978000101961 [12] DOI: 10.1139/p81-095 [13] DOI: 10.1088/0305-4470/16/3/005 [14] DOI: 10.1016/0003-4916(85)90023-5 [15] DOI: 10.1103/PhysRevD.62.014005 [16] DOI: 10.1103/PhysRevA.44.4725 [17] DOI: 10.1088/0305-4470/15/4/001 [18] DOI: 10.1088/0305-4470/20/6/023 [19] DOI: 10.1103/PhysRevD.47.4122 [20] DOI: 10.1063/1.523126 · Zbl 0351.05004 [21] DOI: 10.1063/1.523505 [22] DOI: 10.1139/p79-057 [23] B. Spain and M. G. Smith, Functions of Mathematical Physics (Van Nostrand, London, 1970), pp. 1–19. · Zbl 0186.37501 [24] DOI: 10.1063/1.523203 [25] K. H. Rosen, Discrete Mathematics and its Application (McGraw-Hill, New York, 1991), p. 277. [26] DOI: 10.1063/1.524044 · Zbl 0445.15005 [27] DOI: 10.1080/10236190211952 · Zbl 0996.39001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.