Functional approach to quantum decoherence and the classical final limit II: the pointer basis and the quantum measurements

TL;DR

This paper introduces a mathematical framework for identifying a final pointer basis in quantum systems, providing a new explanation for quantum measurement processes and their classical outcomes.

Contribution

It presents a precise mathematical method to determine the pointer basis, advancing understanding of quantum measurement and decoherence.

Findings

Identification of a final pointer basis in quantum systems

Mathematical explanation of quantum measurement process

Clarification of the quantum-to-classical transition

Abstract

A quantum system with discrete and continuos evolution spectrum is studied. A final pointer basis is found, that can be defined in a presised mathematical way. This result is use to explain the quantum measurement in the system.