Time-ordered operator products of sharp-time quadratic forms
Time-ordered operator products of sharp-time quadratic forms
复制标题
锐时间二次形式的时序算子乘积
DOI：
10.1016/0022-1236(72)90091-2
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发表时间：
1972
影响因子：
1.7
通讯作者：
Edward Nelson
中科院分区：
文献类型：
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作者：
Edward Nelson
证据我们只需要证明第一个陈述，因为第二个陈述由归纳法得出，而第三个陈述是它的推论。假设A和[H，A]在YO（Xk，X1）中。由于1+ H是从k+ 2到xk的幺正，所以11 A（1+ H）11 k + 2，z=（（A）11 k，r，且11（1 + WA）-A（1+ ff）111 ~+ zt= 11 V % 411 rc +2.2G 11 [K411 ~+
Proof. We need only prove the first statement, because the second statement follows by induction and the third statement is a corollary of it. Suppose then that A and [H, A] are in YO (Xk, X1). Since 1+ H is unitary from% k+ 2 to xk, 11 A (1+ H) llk+ 2, z=((A Ilk, r, and ll (l+ WA-A (1+ ff) ll~+ zt= llV% 4llrc+ 2.2 G ll [K 411~~+