2020/08/20 by Jan van Neerven, van Neerven, Jan
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical functions and polynomials #Quantum Physics (quant-ph) #Random Matrices and Applications #Spectral Theory in Mathematical Physics #quant-ph
paper · pdf · doi:10.48550/arxiv.2008.08935
arxiv created 2020/08/20 · openalex publication_date 2020/08/20 · arxiv updated 2020/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We revisit the quantum phase operator Φ introduced by Garrison and Wong. Denoting by N the number operator, we provide a detailed proof of the Heisenberg commutation relation ΦN - NΦ= iI on the natural maximal domain D(ΦN) ∩ D(N Φ) as well as the failure of the Weyl commutation relations, and discuss some further interesting properties of this pair.