Year: 2025
Type: article
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 commutativity, 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 illustrates the physical implications and applications of these extended results.
Source: Wuli yu gongcheng.
Authors: Xinlan LOU, Dazhi XU, Ning WU
Institution: Beijing Institute of Technology
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7128043451