It is shown that the ordinary Schrodinger equation for a dynamical system gs may be replaced by a more general equation, which has the form of the Schrodinger equation of a quantized Bose field whose quanta are the systems gs. The linear wave functionals of the quantized field describe pure states of the system gs and the non linear wave functionals describe, in general, mixtures of states of gs. The representation in which the emission operators of the quantized gs field are diagonal plays a central role in the present formalism. It is shown that the eigenfunctionals of the absorption operators of the quantized gs field can be used to obtain a new description of the states of a system gs, the expectation values of the field quantities in suitably chosen eigenstates of the emission operators coinciding with the expectation values of the corresponding quantities in the pure states of gs, but the fluctuations being larger in the former case. The eigenfunctionals of the absorption operators have the remarkable property of being matrix elements of the unity operator of the field formalism, and seem to be of a more fun damental nature than the linear functionals which correspond to the ordinary description of the pure states by means of the wave functions of gs.