On Invertible Nonnegative Hamiltonian Operator Matrices
On Invertible Nonnegative Hamiltonian Operator Matrices
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关于可逆非负哈密顿算子矩阵
DOI：
10.1007/s10114-014-3490-z
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发表时间：
2014
影响因子：
0.7
通讯作者：
Wu De Yu
中科院分区：
文献类型：
--
作者：
Jin Guo Hai;Hou Guo Lin;Chen Alatancang;Wu De Yu
给出了非负哈密顿算子矩阵的一些新的表征。得到了无界非负哈密顿算子可逆的几个充要条件，因此之前发表的论文中的主要结果都是新定理的推论。最重要的是我们要强调证明方法。它基于泡利算子矩阵和非负哈密顿矩阵之间的联系。
Some new characterizations of nonnegative Hamiltonian operator matrices are given. Several necessary and sufficient conditions for an unbounded nonnegative Hamiltonian operator to be invertible are obtained, so that the main results in the previously published papers are corollaries of the new theorems. Most of all we want to stress the method of proof. It is based on the connections between Pauli operator matrices and nonnegative Hamiltonian matrices.