论文标题
带有非热哈密顿的量子系统
A quantum system with a non-Hermitian Hamiltonian
论文作者
论文摘要
与真实特征值的非热门经营者的物理学相关性不仅在量子力学中被广泛认可，而且在其他领域，例如量子光学，量子流体动力学和量子场理论。 ％随机过程，等等。在本说明中，研究了由两种类型的相互作用玻色子构成的非热汉密尔顿人描述的量子系统。明确确定了哈密顿量的真实特征值，以及哈密顿量及其伴随的完全生物融合。 $ h $的对角线表示使用伪 - 孔子操作员获得。
The relevance in Physics of non-Hermitian operators with real eigenvalues is being widely recognized not only in quantum mechanics but also in other areas, such as quantum optics, quantum fluid dynamics and quantum field theory. %stochastic processesand so on. In this note, a quantum system described by a non-Hermitian Hamiltonian, which is constituted by two types of interacting bosons, is investigated. The real eigenvalues of the Hamiltonian are explicitly determined, as well as complete biorthogonal sets of eigenfunctions of the Hamiltonian and its adjoint. The diagonal representation of $H$ is obtained using pseudo-bosonic operators.
