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Weak pseudo-Hermiticity and antilinear commutant

Quantum Physics 2009-11-07 v1

Abstract

We inquire into some properties of diagonalizable pseudo-Hermitian operators, showing that their definition can be relaxed and that the pseudo-Hermiticity property is strictly connected with the existence of an antilinear symmetry. This result is then illustrated by considering the particular case of the complex Morse potential.

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Cite

@article{arxiv.quant-ph/0203101,
  title  = {Weak pseudo-Hermiticity and antilinear commutant},
  author = {L. Solombrino},
  journal= {arXiv preprint arXiv:quant-ph/0203101},
  year   = {2009}
}

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9 pages