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

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

2002-03-27

arxiv.org/abs/hep-th/0203252v1

Rendiconti del Circ. Mat. di Palermo, Serie II, Suppl. 71 (2003) 199 - 207.

Physics

High Energy Physics

High Energy Physics - Theory

Written version of the review lecture presented during the winter school Geometry and Physics (Srni, Czech Republic, 12. - 19.

Scientific paper

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)=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).

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