Corpus ID: 119627934

PT Symmetric Quantum Models Living in an Auxiliary Pontryagin Space

@article{Znojil2011PTSQ,
  title={PT Symmetric Quantum Models Living in an Auxiliary Pontryagin Space},
  author={Miloslav Znojil},
  journal={arXiv: Mathematical Physics},
  year={2011},
  volume={2},
  pages={102-109}
}
  • Miloslav Znojil
  • Published 2011
  • Physics, Mathematics
  • arXiv: Mathematical Physics
  • An extension of the scope of quantum theory is proposed in a way inspired by the recent heuristic as well as phenomenological success of the use of non-Hermitian Hamiltonians which are merely required self-adjoint in a Krein space with an indefinite metric (chosen, usually, as the operator of parity). In nuce, the parity-like operators are admitted to represent the mere indefinite metric in a Pontryagin space. A constructive version of such a generalized quantization strategy is outlined and… CONTINUE READING