The book contains both original contributions and concise reviews of recent results related to potential theory as applied to particle physics; analyticity in quantum field theory, the inverse problem, nonperturbative approaches to quantum field theory, soluable models, Higgs interaction phenomenology, and geometric approaches in particle physics.

Inhalt
A model for a dia-electric.- Potential models for quarkonium systems.- Some new bounds on the number of bound states.- Moment inequalities and a Martin conjecture.- On a class of spectral problems admitting partial algebraization.- High energy theorems.- Complex angular momentum analysis in axiomatic quantum field theory.- Inverse scattering revisited: Explicit solution of the Marchenko-Martin method.- The inverse of an inverse problem.- Weak-star compactness and its relevance to analyticity problems.- Variational improvement of perturbation theory and/or perturbative improvement of variational calculations.- A new method for QCD sum rules: The L? norm approach.- Bifurcation theory applied to chiral symmetry breaking.- On the scaling behavior of the O(N) ?-model.- A conjecture on the possible exact (1+1)-dimensional solutions to the discrete Boltzmann models I.- Are heavy Higgs interactions observable at the 100 GeV scale?.- Geometric approaches to particle physics.