English

Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator

High Energy Physics - Theory 2015-12-09 v2

Abstract

We extend, to the quantum domain, the results obtained in [Nucl. Phys. B 885 (2014) 150] and [Phys. Lett. B 738 (2014) 405] concerning the Niederer's transformation for the Pais-Uhlenbeck oscillator. Namely, the quantum counterpart (an unitary operator) of the transformation which maps the free higher derivatives theory into the Pais-Uhlenbeck oscillator is constructed. Some consequences of this transformation are discussed.

Keywords

Cite

@article{arxiv.1506.04909,
  title  = {Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator},
  author = {K. Andrzejewski},
  journal= {arXiv preprint arXiv:1506.04909},
  year   = {2015}
}

Comments

18 pages, minor changes, published version