On the von Neumann rule in quantization
Mathematical Physics
2019-09-04 v3 math.MP
Abstract
We show that any linear quantization map into the space of self-adjoint operators in a Hilbert space violates the von Neumann rule on post-composition with real functions.
Cite
@article{arxiv.1903.10494,
title = {On the von Neumann rule in quantization},
author = {Olaf Müller},
journal= {arXiv preprint arXiv:1903.10494},
year = {2019}
}
Comments
12 pages. The second version changes only the division into chapters and adds a consideration of a related Experiment, the third one restructures the order of the theorems and adds some explanations and references. Theorems and proofs remain unchanged since the first version