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
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.
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页码:157 / 166
页数:10
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