厄米矩阵
自伴算子
特征向量
哈密顿量(控制论)
数学
操作员(生物学)
班级(哲学)
光谱特性
纯数学
算符理论
厄米特伴随
数学物理
数学分析
希尔伯特空间
拟正规算子
物理
量子力学
有限秩算子
巴拿赫空间
化学
计算机科学
抑制因子
人工智能
天体物理学
数学优化
基因
转录因子
生物化学
摘要
We present a few results on the spectral properties of a class of physically reasonable non-Hermitian Hamiltonians. These theorems relate the spectral properties of a non-self-adjoint operator (of the aforementioned class) in terms of that of a self-adjoint operator. These theorems can be specialized to yield conditions under which the perturbed eigenvalues (of the above class of operators) vary continuously from the eigenvalues of the unperturbed operators. If the Schrödinger equation has to be solved numerically, a knowledge of the spectral properties of the non-Hermitian Hamiltonian would insure when the eigensolutions exist.
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