NONCLASSICAL ANALOGIES OF CLASSICAL SOLITON SOLUTIONS

Abstract

We discuss the possible existence of a series of nonclassical analogies of classical soliton solutions, which do not exist when the effective Planck constant of the theory γ tends to zero. Within the conventional weak-coupling expansion in [Formula: see text], such nonclassical configurations are [Formula: see text] in energy and therefore lie between the true classical solutions and true secondary quantized excitations. The analytic results concerning the shape functions, masses and stability properties of such excitations are given for φ4-kink theory.