Changes of separation status during registration and scattering

TL;DR

This paper addresses the problem of quantum measurement by introducing the concept of separation status, proposing new rules for its changes during measurement and scattering, and analyzing examples to formulate a general rule.

Contribution

It introduces the notion of separation status and proposes minimal corrections to quantum mechanics to account for its changes during measurement and scattering processes.

Findings

Formulated a general Rule of Separation Status Changes.

Analyzed examples of registration and scattering to identify common features.

Proposed modifications to quantum mechanics to incorporate separation status dynamics.

Abstract

In our previous work, a new approach to the notorious problem of quantum measurement was proposed. Existing treatments of the problem were incorrect because they ignored the disturbance of measurement by identical particles and standard quantum mechanics had to be modified to obey the cluster separability principle. The key tool was the notion of separation status. Changes of separation status occur during preparations, registrations and scattering on macroscopic targets. Standard quantum mechanics does not provide any correct rules that would govern these changes. This gives us the possibility to add new rules to quantum mechanics that would satisfy the objectification requirement. The method of the present paper is to start from the standard unitary evolution and then introduce minimal corrections. Several representative examples of registration and particle scattering on macroscopic targets are analysed case by case in order to see their common features. The resulting general Rule of Separation Status Changes is stated in the Conclusion.