Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-07-11
Physics
High Energy Physics
High Energy Physics - Phenomenology
5 pages, LaTeX, invited talk at the "XI International Conference: Problems of Quantum Field Theory," July 13 - 17, 1998, JINR,
Scientific paper
The spinless Salpeter equation is the combination of relativistic kinematics with some static interaction potential. The nonlocal nature of the Hamiltonian resulting from this approximation renders difficult to obtain rigorous analytic statements on resulting solutions. In view of this rather unsatisfactory state of affairs, we calculate analyic upper bounds on the involved energy levels, and, for the Coulomb potential, on the ground-state energy at the critical value of the coupling constant.
Lucha Wolfgang
Sch"oberl Franz F.
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