Garrison-Wong量子相位算符的再认识
The Garrison-Wong quantum phase operator revisited
摘要：
我们重新讨论了量子相位算符$Φ$。用$N$表示数算符，详细证明了自然极大域$D(ΦN) \cap D(N Φ)$上的Heisenberg对易关系$ΦN - NΦ= iI$以及Weyl对易关系的失效，并进一步讨论了这对易关系的一些有趣性质.
英文摘要：
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 $D(ΦN) \cap D(N Φ)$ as well as the failure of the Weyl commutation relations, and discuss some further interesting properties of this pair.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
