论文标题
旋转操作员光谱预测的换向器
Commutators of spectral projections of spin operators
论文作者
论文摘要
我们提供了证明，与旋转操作员相关的某些光谱投影的换向器的运算符规范会在半经典限制中收敛到$ \ frac 1 2 $。对应于正征值的所有特征向量跨越了投影的范围。证明涉及汉克尔运营商在耐力空间上的理论。还包括了几个类似结果的讨论，重点是有限的海森伯格群体。
We present a proof that the operator norm of the commutator of certain spectral projections associated with spin operators converges to $\frac 1 2$ in the semiclassical limit. The ranges of the projections are spanned by all eigenvectors corresponding to positive eigenvalues. The proof involves the theory of Hankel operators on the Hardy space. A discussion of several analogous results is also included, with an emphasis on the case of finite Heisenberg groups.
