Equations for generalized n-point information with extreme and not extreme approximations in the free Fock space

TL;DR

This paper introduces generalized n-point information equations in free Fock space, discusses their approximations, and explores their interpretation and positivity conditions in non-linear interactions using operator language.

Contribution

It presents new equations for n-point information in free Fock space and analyzes their approximations and interpretative aspects for non-linear interactions.

Findings

Equations for generalized n-point information are formulated.

The role of invertible interaction operators is analyzed.

Comments on positivity conditions and non-linear interactions are provided.

Abstract

The general n-point information (n-pi) are introduced and equations for them are considered. The role of right and left invertible interaction operators occurring in these equations together with their interpretation is discussed. Some comments on approximations to the proposed equations are given. The importance of positivity conditions and a possible interpretation of n-pi in the case of their non-compliance, for essentially non-linear interactions (ENI), are proposed. A language of creation, annihilation and projection operators which can be applied in classical as well as in quantum case is used. The role of the complex numbers and functions in physics is also a little elucidated.