English

Non-Hermitian oscillator-like Hamiltonians and $\lambda$-coherent states revisited

High Energy Physics - Theory 2009-11-07 v1

Abstract

Previous λ\lambda-deformed {\it non-Hermitian} Hamiltonians with respect to the usual scalar product of Hilbert spaces dealing with harmonic oscillator-like developments are (re)considered with respect to a new scalar product in order to take into account their property of self-adjointness. The corresponding deformed λ\lambda-states lead to new families of coherent states according to the DOCS, AOCS and MUCS points of view.

Keywords

Cite

@article{arxiv.hep-th/0102004,
  title  = {Non-Hermitian oscillator-like Hamiltonians and $\lambda$-coherent states revisited},
  author = {J. Beckers and J. F. Cariñena and N. Debergh and G. Marmo},
  journal= {arXiv preprint arXiv:hep-th/0102004},
  year   = {2009}
}

Comments

10 pages