Operator Deformations in Quantum Measurement Theory

TL;DR

This paper introduces a rigorous framework for quantum measurement theory in the Heisenberg picture using operator deformation techniques, allowing unbounded observables to be incorporated into a more general setting.

Contribution

It applies operator deformation methods from noncommutative quantum field theory to quantum measurement theory, extending the role of unbounded operators.

Findings

Established a rigorous mathematical framework for quantum measurements

Integrated unbounded observables into the measurement theory

Extended the applicability of operator deformation techniques

Abstract

We describe rigorous quantum measurement theory in the Heisenberg picture by applying operator deformation techniques previously used in noncommutative quantum field theory. This enables the conventional observables (represented by unbounded operators) to play a role also in the more general setting.