论文标题

重新审视了驻军量子量子阶段运算符

The Garrison-Wong quantum phase operator revisited

论文作者

van Neerven, Jan

论文摘要

我们重新访问Garrison和Wong引入的量子相运算符$φ$。我们用$ n $表示数字运营商,我们提供了海森伯格换向关系的详细证明$φn -nφnφn -nφ= ii $ in自然最大域$ d(φn)\ cap d(nφ)$以及Weyl换向关系的失败,并讨论了这一对的进一步有趣的属性。

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.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源