English

Re-establishing supersymmetry between harmonic oscillators in $D \neq 1$ dimensions

High Energy Physics - Theory 2014-11-18 v1

Abstract

Using a PT symmetric regularization technique we reminad the reader that and how (a) the SUSY is re-established between the two shifted harmonic oscillator potentials V(q)=q2+G/q2+const V(q)=q^2+{G}/{q^2}+ const and (b) many non-equivalent Hermitian and non-Hermitian (PT symmetric) systems may often be studied in parallel (with a schematic solvable illustrative example added).

Keywords

Cite

@article{arxiv.hep-th/0203252,
  title  = {Re-establishing supersymmetry between harmonic oscillators in $D \neq 1$ dimensions},
  author = {Miloslav Znojil},
  journal= {arXiv preprint arXiv:hep-th/0203252},
  year   = {2014}
}

Comments

Written version of the review lecture presented during the winter school Geometry and Physics (Srni, Czech Republic, 12. - 19. January 2002), submitted to its proceedings. Latex, 13 pp, 2 figures