Exact solutions to quantized field theories

Abstract

Exact solutions to a class of one dimensional quantum field theories described by the field equations d2 phi /dt2+m2 phi + lambda phi 2q+1=0, q not=0, -1, and by boson commutation relations are given. For the special case q=1 explicit solutions are discussed. The solutions describe self- interacting systems for all times and contain arbitrary negative powers of m2.