物理与工程2025，Vol.35Issue(5)：34-42,9.
一些关于厄米算符的结论至非厄米情形的扩展
SOME CONCLUSIONS ABOUT HERMITIAN OPERATORS EXTENDED TO NON-HERMITIAN CASES
摘要
Abstract
This paper extends some well-known conclusions about Hermitian operators in quantum mechanics to the case of non-Hermitian operators.Specifically,(1)it presents the eigenvalue structure of non-Hermitian operators satisfying algebraic equations;(2)for a class of diagonalizable non-Hermitian operators,it clarifies the relationship between commutativi-ty,degenerate subspaces,and block diagonalization,and provides a visual representation;(3)taking the four-site spin-1/2 Heisenberg XXZ chain as an example,it specifically illus-trates the physical implications and applications of these extended results.关键词
非厄米算符/对易性/简并/共同本征态/块对角化Key words
non-Hermitian operators/compatibility/degeneracy/simultaneous eigenstates/diagonalization引用本文复制引用
娄欣岚,徐大智,吴宁..一些关于厄米算符的结论至非厄米情形的扩展[J].物理与工程,2025,35(5):34-42,9.基金项目
科技部科技创新2030重大项目(2023ZD0300703) （2023ZD0300703）
北京理工大学物理学院教改项目"科研成果融入本科量子力学教学". （）
