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On the eigenvalues of some non-Hermitian Hamiltonians with space-time symmetry

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arxiv 1403.4239 v1 pith:QA4V4OCS submitted 2014-03-17 quant-ph

Paolo Amore , Francisco M. Fernández , Javier Garcia This is my paper · ORCID
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keywords eigenvaluessomehamiltoniansnon-hermitianagreeanharmonicauthorsbasis
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We calculate the eigenvalues of some two-dimensional non-Hermitian Hamiltonians by means of a pseudospectral method and straightforward diagonalization of the Hamiltonian matrix in a suitable basis set. Both sets of results agree remarkably well but differ considerably from the eigenvalues obtained some time ago by other authors. In particular, we do not observe the multiple phase transitions claimed to occur in one of the anharmonic oscillators.

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