费米子算子的有界性
Boundedness properties of fermionic operators
摘要：
本文证明了费米子二次量子化算符$dΓ(B)$是由数算符$N$的幂$N^{s/2}$限定的，只要算符$B$属于$r$阶冯诺依曼-沙滕类$s=2(r-1)/r$ .相反，$dΓ(B)$的数算子估计意味着$B$上的von Neumann-Schatten条件。二次创建和湮灭运营商的待遇。
英文摘要：
The fermionic second quantization operator $dΓ(B)$ is shown to be bounded by a power $N^{s/2}$ of the number operator $N$ given that the operator $B$ belongs to the $r$-th von Neumann-Schatten class, $s=2(r-1)/r$. Conversely, number operator estimates for $dΓ(B)$ imply von Neumann-Schatten conditions on $B$. Quadratic creation and annihilation operators are treated as well.
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。
