Weyl Representation of the Canonical Commutation Relations Algebras in a Krein Space

TL;DR

This paper proves the existence of the Weyl representation for canonical commutation relations algebras within a Krein space framework, expanding the mathematical understanding of quantum algebra representations.

Contribution

It establishes the existence of Weyl representations in Krein spaces, a significant extension of prior work limited to Hilbert spaces.

Findings

Weyl representation exists in Krein spaces

Mathematical framework for quantum algebras extended

Potential applications in quantum physics

Abstract

In the present article the existence of the Weyl representation for the canonical commutation relations algebras was proved in a Krein space.