Using Mathematica 3.0, the Schrödinger equation for bound states is solved. The method of solution is based on a numerical integration procedure together with convexity arguments and the nodal… (More)

Preface The aim of these lectures is to give a self-contained introduction to nonrelativistic potential models, to their formulation as well as to their possible applications. At the price of some… (More)

The spinless Salpeter equation may be considered either as a standard approximation to the Bethe–Salpeter formalism, designed for the description of bound states within a relativistic quantum field… (More)

Consequent application of the instantaneous approximation to both the interaction and all propagators of the bound-state constituents allows us to forge, within the framework of the Bethe–Salpeter… (More)

This talk reviews several aspects of the “semirelativistic” description of bound states by the spinless Salpeter equation (which represents the simplest equation of motion incorporating relativistic… (More)

Finite quantum field theories may be constructed from the most general renormalizable quantum field theory by forbidding, order by order in the perturbative loop expansion, all ultraviolet-divergent… (More)

Problems posed by semirelativistic Hamiltonians of the form H = √ m2 + p2+V (r) are studied. It is shown that energy upper bounds can be constructed in terms of certain related Schrödinger operators;… (More)

It is shown that the ground-state eigenvalue of a semirelativistic Hamiltonian of the form H = √ m2 + p2+V is bounded below by the Schrödinger operator m+βp2+V, for suitable β > 0. An example is… (More)

We study the spectrum of the Salpeter Hamiltonian H = β √ m2 + p2 +V (r), where V (r) is an attractive central potential in three dimensions. If V (r) is a convex transformation of the Coulomb… (More)

We study the eigenvalues En` of the Salpeter Hamiltonian H = β √ m2 + p2 +vr, v > 0, β > 0, in three dimensions. By using geometrical arguments we show that, for suitable values of P, here provided,… (More)