On the von Neumann rule in quantization
arXiv:1903.10494 · doi:10.1063/1.5107452
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.
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
References in corpus (5)
- The generally covariant locality principle -- A new paradigm for local quantum physics
- Quantization Methods: A Guide for Physicists and Analysts
- The Continuum Limit of Causal Fermion Systems
- Locally covariant quantum field theory and the problem of formulating the same physics in all spacetimes
- Berezin-Toeplitz Quantization and Star Products for Compact Kaehler Manifolds