The EMM and the Spectral Analysis of a Non Self-adjoint Hamiltonian on an Infinite Dimensional Hilbert Space

被引：3

作者：

Bebiano, Natalia ^{[1
]}

da Providencia, Joao ^{[2
]}

机构：

[1] Univ Coimbra, CMUC, Dept Math, P-3001454 Coimbra, Portugal

[2] Univ Coimbra, Dept Phys, CFisUC, P-3004516 Coimbra, Portugal

来源：

NON-HERMITIAN HAMILTONIANS IN QUANTUM PHYSICS | 2016年 / 184卷

关键词：

NON-HERMITIAN HAMILTONIANS; QUANTUM-MECHANICS; PT-SYMMETRY;

D O I：

10.1007/978-3-319-31356-6_10

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

The Equation of Motion Method is used in the spectral analysis of a non self-adjoint bosonic Hamiltonian acting on an infinite dimensional Hilbert space. The presented operator has real eigenvalues and can be diagonalized when it is expressed in terms of pseudo-bosons, which do not behave as ordinary bosons under the adjoint transformation, but obey the Weil-Heisenberg commutation relations.

引用

页码：157 / 166

页数：10

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