Version 1
: Received: 6 February 2023 / Approved: 8 February 2023 / Online: 8 February 2023 (10:30:36 CET)
How to cite:
Wallentin, F. On Quantization, Contextuality & the Koopman-von Neumann Formulation. Preprints2023, 2023020144. https://doi.org/10.20944/preprints202302.0144.v1.
Wallentin, F. On Quantization, Contextuality & the Koopman-von Neumann Formulation. Preprints 2023, 2023020144. https://doi.org/10.20944/preprints202302.0144.v1.
Cite as:
Wallentin, F. On Quantization, Contextuality & the Koopman-von Neumann Formulation. Preprints2023, 2023020144. https://doi.org/10.20944/preprints202302.0144.v1.
Wallentin, F. On Quantization, Contextuality & the Koopman-von Neumann Formulation. Preprints 2023, 2023020144. https://doi.org/10.20944/preprints202302.0144.v1.
Abstract
A new perspective on quantization is presented in this article, where the Koopman-von Neumann formulation (KvN) and ordinary non-relativistic quantum mechanics (OQM) are viewed as unitarily inequivalent representations of the same underlying structure. This approach to quantization is based on the idea that contextuality, rather than ℏ, is a fundamental aspect of quantum mechanics. The novel view is motivated by the limitations of traditional approaches to quantization together with previous research demonstrating contextuality in KvN. In this representation theoretic approach, both KvN and OQM are considered valid quantum theories separated by a superselection rule.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
