On Wave Particle Duality

TL;DR

This paper explains wave-particle duality through a mathematical model for quantum measurement, providing a detailed, self-contained analysis that clarifies a fundamental quantum phenomenon using continuous spectra.

Contribution

It offers a detailed, self-contained explanation of wave-particle duality based on a specific quantum measurement model involving continuous spectra.

Findings

Wave-particle duality can be derived from the quantum measurement model.

The model involves the use of continuous spectra, previously treated casually.

Provides a rigorous mathematical explanation of a fundamental quantum phenomenon.

Abstract

In a recent paper a mathematical model for quantum measurement was presented. The phenomenon of wave particle duality, which is introduced in every beginning course of quantum theory, can be explained using this model. Although it is a special case of the general theory it has historic interest and involves the use of a continuous spectrum which was treated only casually in the original article. The treatment here is self contained except for the proof of a mathematical theorem appearing in the first paper.