Spectral analysis of a selected non self-adjoint Hamiltonian in an infinite dimensional Hilbert space

Natalia Bebiano; Joao da Providencia; Joao P. da Providencia

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arXiv · 1509.00653

Spectral analysis of a selected non self-adjoint Hamiltonian in an infinite dimensional Hilbert space

Natalia Bebiano·Joao da Providencia·Joao P. da Providencia

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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.

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Natalia Bebiano, Joao da Providencia, Joao P. da Providencia. 2015-09-02. Spectral analysis of a selected non self-adjoint Hamiltonian in an infinite dimensional Hilbert space. https://arxiv.org/abs/1509.00653

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