Note on a Product Formula Related to Quantum Zeno Dynamics (Jan, 10.1007/s00023-020-01014-z, 2021)

被引：0
|
作者：
Exner, Pavel [1 ,2 ]
Ichinose, Takashi [3 ]
机构：
[1] Czech Syst Univ, Doppler Inst Math Phys & Appl Math, Brehova 7, Prague 11519, Czech Republic
[2] Czech Acad Sci, Nucl Phys Inst, Dept Theoret Phys, Prague 25068, Czech Republic
[3] Kanazawa Univ, Fac Sci, Dept Math, Kanazawa, Ishikawa 9201192, Japan
来源：
ANNALES HENRI POINCARE | 2021年 / 22卷 / 05期
基金：
日本学术振兴会;
关键词：
D O I：
10.1007/s00023-021-01056-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Given a nonnegative self-adjoint operator H acting on a separable Hilbert space and an orthogonal projection P such that HP:=(H1/2P)∗(H1/2P) is densely defined, we prove that limn→∞(Pe-itH/nP)n=e-itHPP holds in the strong operator topology. We also derive modifications of this product formula and its extension to the situation when P is replaced by a strongly continuous projection-valued function satisfying P(0) = P. © 2021, Springer Nature Switzerland AG.
引用
收藏
页码：1699 / 1700
页数：2
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