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Mathematical Aspects of Quantum Systems with a Pseudo-Hermitian Hamiltonian

  • General and Applied Physics
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An Erratum to this article was published on 09 February 2016

Abstract

A non-self-adjoint bosonic Hamiltonian H possessing real eigenvalues is investigated. It is shown that the operator can be diagonalized by making use of pseudo-bosonic operators. The biorthogonal sets of eigenvectors for the Hamiltonian and its adjoint are explicitly constructed. The positive definite operator which connects both sets of eigenvectors is also given. The dynamics of the model is briefly analyzed.

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Authors and Affiliations

  1. Department of Mathematics, CMUC, University of Coimbra, P 3001-454, Coimbra, Portugal

    N. Bebiano

  2. Department of Physics, CFisUC, University of Coimbra, P 3004-516, Coimbra, Portugal

    J. da Providência

  3. Depatamento de F’ısica, University of Beira Interior, P-6201-001, Covilhã, Portugal

    J. P. da Providência

Authors
  1. N. Bebiano
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  2. J. da Providência
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  3. J. P. da Providência
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Correspondence to J. da Providência.

Additional information

An erratum to this article can be found at http://dx.doi.org/10.1007/s13538-016-0403-x.

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Bebiano, N., da Providência, J. & da Providência, J.P. Mathematical Aspects of Quantum Systems with a Pseudo-Hermitian Hamiltonian. Braz J Phys 46, 152–156 (2016). https://doi.org/10.1007/s13538-015-0390-3

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  • DOI: https://doi.org/10.1007/s13538-015-0390-3

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