The Quantum Mechanics Problem of the Schroedinger Equation with the Trigonometric Rosen-Morse Potential

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dc.creatorCompean, C. B.
dc.creatorKirchbach, M.
dc.date2006-03-26
dc.date.accessioned2026-07-07T07:08:07Z
dc.date.available2026-07-07T07:08:07Z
dc.descriptionWe present the quantum mechanics problem of the one-dimensional Schroedinger equation with the trigonometric Rosen-Morse potential. This potential is of possible interest to quark physics in so far as it captures the essentials of the QCD quark-gluon dynamics and (i) interpolates between a Coulomb-like potential (associated with one-gluon exchange) and the infinite wall potential (associated with asymptotic freedom), (ii) reproduces in the intermediary region the linear confinement potential (associated with multi-gluon self-interactions) as established by lattice QCD calculations of hadron properties. Moreover, its exact real solutions given here display a new class of real orthogonal polynomials and thereby interesting mathematical entities in their own.
dc.description10 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0603232
dc.identifierhttp://arxiv.org/abs/quant-ph/0603232
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110640
dc.subjectQuantum Physics
dc.titleThe Quantum Mechanics Problem of the Schroedinger Equation with the Trigonometric Rosen-Morse Potential
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