On the nonlinear generalization of the Fock method

Abstract

The generalized Fock method is presented in the case of nonlinear dependence of the number-of-quanta operator on the Hamiltonian operator. That generalization is used for an analysis of the inverse problem in the case of strictly discrete spectra in R1. The relationship between the quantum description on a basis of the Fock approach and the classical limit of this description is analysed.