English

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

Quantum Physics 2014-03-19 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1403.4239,
  title  = {On the eigenvalues of some non-Hermitian Hamiltonians with space-time symmetry},
  author = {Paolo Amore and Francisco M. Fernández and Javier Garcia},
  journal= {arXiv preprint arXiv:1403.4239},
  year   = {2014}
}