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The EMM and the Spectral Analysis of a Non Self-adjoint Hamiltonian on an Infinite Dimensional Hilbert Space
Authors: Bebiano, Natalia; da Providencia, Joao
Ref.: Non-Hermitian Hamiltonians in Quantum Physics 184, 157-166 (2016)
Abstract: 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.
