Метод координатной функции Фока, производящая функция, интегральные соотношения

Abstract

The Fock coordinate wave function method and the generate function method [1, 2], which connected with first one, are applied to the model of Schrodinger non relativistic quantum mechanics. The connection of all reduced density matrix space components of arbitrary order p (RDM-p) with the RDM-p for Fock spatial functions are established by the generate function method. Their cyclic symmetry condition is applied to get the total integral relations between such RDM-p of different orders for any locations of the Fock spatial function variables, which are integrated. The universal generate function method allows us to extract from it the additional restrictions on spatial components of the RDM [3 - 5]. It also allows us to reproduce the select rules for the spin perturbation matrix elements between the pure spin states. Some physical consequences of these rules are discussed.