Ultra-Weak Time Operators of Schroedinger Operators
Ultra-Weak Time Operators of Schroedinger Operators
复制标题
薛定谔算子的超弱时间算子
DOI：
10.1007/s00023-017-0586-x
复制
发表时间：
2017
影响因子：
1.5
通讯作者：
Asao Arai and Fumio Hiroshima
中科院分区：
文献类型：
--
作者：
小田信行; 山口俊博;平嶋康昌，小田信行;Asao Arai and Fumio Hiroshima
在抽象框架中，引入了一个新的时间算子概念——超弱时间算子，这是一个比弱时间算子弱的概念。建立了超弱时间算符的存在性定理。作为定理的应用，证明了具有势V服从合适条件的薛定谔算子，包括氢原子的哈密顿量，具有超弱时间算子。此外，还发现了一类具有超弱时间算子的Borel可测函数。
In an abstract framework, a new concept on time operator,ultra-weak time operator, is introduced, which is a concept weaker than that of weak time operator. Theorems on the existence of an ultra-weak time operator are established. As an application of the theorems, it is shown that Schrödinger operatorswith potentialsVobeying suitable conditions, including the Hamiltonian of the hydrogen atom, have ultra-weak time operators. Moreover, a class of Borel measurable functionssuch thathas an ultra-weak time operator is found.