Non-perturbative solution of nonlinear Heisenberg equations
Radim Filip
Abstract
A new non-perturbative method of solution of the nonlinear Heisenberg equations in finite-dimensional subspace is illustrated. The method, being a counterpart of the traditional Schrödinger picture method, is based on a finite operator expansion into the elementary processes. It provides us with the insight into the nonlinear quantal interaction from the different point of view. Thus one can investigate the nonlinear system in both pictures of quantum mechanics. 1