Spectral analysis of a selected non self-adjoint Hamiltonian in an infinite dimensional Hilbert space
Quantum Physics
2015-09-03 v1 Mathematical Physics
math.MP
Abstract
The so-called equation of motion method is useful to obtain the explicit form of the eigenvectors and eigenvalues of certain non self-adjoint bosonic Hamiltonians with real eigenvalues. These operators can be diagonalized when they are expressed in terms of pseudo-bosons, which do not behave as ordinary bosons under the adjoint transformation, but obey the Weil-Heisenberg commutation relations.
Keywords
Cite
@article{arxiv.1509.00653,
title = {Spectral analysis of a selected non self-adjoint Hamiltonian in an infinite dimensional Hilbert space},
author = {Natalia Bebiano and Joao da Providencia and Joao P. da Providencia},
journal= {arXiv preprint arXiv:1509.00653},
year = {2015}
}